FOOTNOTES:

[1] Some bibliographers prefer to use double strokes to avoid

confusion with the old-fashioned long commas. Others use a single

stroke to indicate the space between two lines and increase the

number of strokes where the space left is wider than this.

[2] It may be noted that some confusion is caused in descriptions of

books by the word "sheet," which should be restricted to the original

sheet of paper which by folding becomes folio, quarto, &c., being

applied also to the double-leaf of four pages. A word specially

appropriated to this is greatly needed, and as gatherings of two,

three, four, &c., of such double-leaves are known technically as

duernions, ternions, quaternions, &c., the double-leaf itself might

well be called a "unit."

[3] Here specify the page measured.

BIBLIOMANCY (from the Gr. [Greek: biblion], a book, and [Greek:

manteia], prophecy), a form of divination (q.v.) by means of the Bible

or other books. The method employed is to open the Bible haphazard and

be guided by the first verse which catches the eye. Among the Greeks and

Romans the practice was known under the name of _sortes Homericae_ or

_sortes Virgilianae_, the books consulted being those of Homer or

Virgil.

BIBRACTE, an ancient Gaulish town, the modern Mont Beuvray, near Autun

in France. Here, on a hilltop 2500 ft. above sea-level, excavation has

revealed a vast area of 330 acres, girt with a stone and wood rampart 3

m. long, and containing the remains of dwelling-houses, a temple of

Bibractis, and the workshops of iron and bronze workers and enamellers.

It was the capital of the Aedui in the time of Julius Caesar. Later on

Augustus removed the inhabitants to his new town Augustodunum (Autun),

to destroy the free native traditions. Another far more obscure town in

Gaul, near Reims, also bore the name.

See Bulliot, _Fouilles de Beuvray_; Dechelette, _Oppidum de Bibracte_;

also references s.v. AEDUI.

BIBULUS, a surname of the Roman gens Calpurnia. The best-known of those

who bore it was Marcus Calpurnius Bibulus, consul with Julius Caesar, 59

B.C. He was the candidate put forward by the aristocratical party in

opposition to L. Lucceius, who was of the party of Caesar; and bribery

was freely used, with the approval of even the rigid Cato (Suetonius,

_Caesar_, 9), to secure his election. But he proved no match for his

able colleague. He made an attempt to oppose the agrarian law introduced

by Caesar for distributing the lands of Campania, but was overpowered

and even personally ill-treated by the mob. After making vain complaints

in the senate, he shut himself up in his own house during the remaining

eight months of his consulship, taking no part in public business beyond

fulminating edicts against Caesar's proceedings, which only provoked an

attack upon his house by a mob of Caesar's partisans. His conduct gave

rise to the jest, that Julius and Caesar were consuls during that year.

When the relations of Caesar and Pompey became strained, Bibulus

supported Pompey (Plutarch, _Cato Minor_, 41) and joined in proposing

his election as sole consul (52 B.C.). Next year he went to Syria as

proconsul and claimed credit for a victory gained by one of his officers

over the Parthians, before his own arrival in the province. After the

expiration of his term of office, Pompey gave him command of his fleet

in the Ionian Sea. He proved himself utterly incapable; his chief

exploit was the burning of thirty transports on their return from Epirus

whither they had succeeded in conveying Caesar and some troops from

Brundusium. He died soon afterwards (48) of fatigue and mortification

(Caesar, _Bell. Civ._ iii. 5-18; Dio Cassius xli. 48). Although not a

man of great importance, Bibulus showed great persistency as the enemy

of Caesar. Cicero says of him that he was no orator, but a careful

writer. By his wife Porcia, daughter of Cato, afterwards married to

Brutus, he had three sons. The two eldest were murdered in Egypt by some

of the soldiery of Gabinius; the youngest, Lucius Calpurnius Bibulus,

fought on the side of the republic at the battle of Philippi, but

surrendered to Antony soon afterwards, and was by him appointed to the

command of his fleet. He died (about 32) while governor of Syria under

Augustus. He wrote a short memoir of his step-father Brutus, which was

used by Plutarch (Appian, _B.C._ iv. 136; Plutarch, _Brutus_, 13. 23).

BICE (from Fr. _bis_, a word of doubtful origin, meaning dark-coloured),

a term erroneously applied in English to particular shades of green or

blue pigments from the French terms _vert bis_ and _azur bis_, dark

green or blue. These colours are generally prepared from basic copper

carbonates, but sometimes from ultramarine and other pigments.

BICESTER, a market town in the Woodstock parliamentary division of

Oxfordshire, England, 12 m. N.N.E. of Oxford by a branch of the London &

North-Western railway. Pop. of urban district (1901) 3023. It lies near

the northern edge of the flat open plain of Ot Moor, in a pastoral

country. The church of St Eadburg, the virgin of Aylesbury, is

cruciform, with a western tower, and contains examples of Norman and

each succeeding style. There is, moreover, in the nave a single rude

angular arch considered to be Saxon. Incorporated with a farm-house,

scanty Perpendicular remains are seen of an Augustinian priory founded

at the close of the 12th century. Bicester has considerable agricultural

trade and a brewing industry. It is a favourite hunting centre.

The termination _cester_, commonly indicating Roman origin, does not do

so here, and is perhaps copied from Alchester and Chesterton, 2 m. west

of Bicester, where there is a small Roman site, probably a wayside

village, at the meeting of roads from the south (Dorchester), west,

north-east and east.

Bicester (Berncestre, Burencestre, Bissiter), according to the Domesday

survey, was held by Robert d'Oily. In 1182 Gilbert Basset founded here

an Augustinian priory, which from that date until its dissolution in

1538 became the centre of the industrial life and development of the

town. In 1253 William Longspey obtained a grant of a fair at the feast

of St Edburg, and a Friday market is mentioned in the 14th century.

Richard II. granted a Monday market and a fair at the feast of St James

the Apostle, and in 1440 an additional market was granted to be held in

that part of the town called Bury-End, from this date known as

Market-End. Bicester never possessed any manufactures of importance, but

the fairs and markets were much frequented, and in the 16th century the

cattle market was especially famous.

See J.C. Blomfield, _History of the Deanery of Bicester_ (London,

1882-1894); John Dunkin, _History of Bicester_ (London, 1816).

BICHAT, MARIE FRANCOIS XAVIER (1771-1802), French anatomist and

physiologist, was born at Thoirette (Jura) on the 14th of November 1771.

His father, a physician, was his first instructor. He entered the

college of Nantua, and afterwards studied at Lyons. In mathematics and

the physical sciences he made rapid progress, but ultimately devoted

himself to the study of anatomy and surgery, under the guidance of M.A.

Petit (1766-1811), chief surgeon to the Hotel Dieu at Lyons. The

revolutionary disturbances compelled him to fly from Lyons and take

refuge in Paris in 1793. He there became a pupil of P.J. Desault, who

was so strongly impressed with his genius that he took him into his

house and treated him as his adopted son. For two years he actively

participated in all the labours of Desault, prosecuting at the same time

his own researches in anatomy and physiology. The sudden death of

Desault in 1795 was a severe blow to Bichat. His first care was to

acquit himself of the obligations he owed his benefactor, by

contributing to the support of his widow and her son, and by conducting

to a close the fourth volume of Desault's _Journal de Chirurgie_, to

which he added a biographical memoir of its author. His next object was

to reunite and digest in one body the surgical doctrines which Desault

had published in various periodical works. Of these he composed _Oeuvres

chirurgicales de Desault, ou tableau de sa doctrine, et de sa pratique

dans le traitement des maladies externes_ (1798-1799), a work in which,

although he professes only to set forth the ideas of another, he

develops them with the clearness of one who is a master of the subject.

In 1797 he began a course of anatomical demonstrations, and his success

encouraged him to extend the plan of his lectures, and boldly to

announce a course of operative surgery. In the following year, 1798, he

gave in addition a separate course of physiology. A dangerous attack of

haemoptysis interrupted his labours for a time; but the danger was no

sooner past than he plunged into new engagements with the same ardour as

before. He had now scope in his physiological lectures for a fuller

exposition of his original views on the animal economy, which excited

much attention in the medical schools at Paris. Sketches of these

doctrines were given by him in three papers contained in the Memoirs of

the Societe Medicale d'Emulation, which he founded in 1796, and they

were afterwards more fully developed in his _Traite sur les membranes_

(1800). His next publication was the _Recherches physiologiques sur la

vie et sur la mort_ (1800), and it was quickly followed by his _Anatomie

generale_ (1801), the work which contains the fruits of his most

profound and original researches. He began another work, under the title

_Anatomie descriptive_ (1801-1803), in which the organs were arranged

according to his peculiar classification of their functions, but lived

to publish only the first two volumes. It was completed on the same plan

by his pupils, M.F.R. Buisson (1776-1805) and P.J. Roux (1780-1854).

Before Bichat had attained the age of eight-and-twenty he was appointed

physician to the Hotel Dieu, a situation which opened an immense field

to his ardent spirit of inquiry. In the investigation of diseases he

pursued the same method of observation and experiment which had

characterized his researches in physiology. He learned their history by

studying them at the bedside of his patients, and by accurate dissection

of their bodies after death. He engaged in a series of examinations,

with a view to ascertain the changes induced in the various organs by

disease, and in less than six months he had opened above six hundred

bodies. He was anxious also to determine with more precision than had

been attempted before, the effects of remedial agents, and instituted

with this view a series of direct experiments which yielded a vast store

of valuable material. Towards the end of his life he was also engaged on

a new classification of diseases. A fall from a staircase at the Hotel

Dieu resulted in a fever, and, exhausted by his excessive labours and by

constantly breathing the tainted air of the dissecting-room, he died on

the 22nd of July 1802. His bust, together with that of Desault, was

placed in the Hotel Dieu by order of Napoleon.

BICHROMATES AND CHROMATES. Chromium trioxide dissolves readily in water,

and the solution is supposed to contain chromic acid, H2CrO4; the salts

of this acid are known as the chromates. In addition to these normal

salts, others exist, namely bichromates, trichromates, &c., which may be

regarded as combinations of one molecular proportion of the normal salt

with one or more molecular proportions of chromium trioxide. The series

will thus possess the following general formulae:--

M2CrO4 M2Cr2O7 M2Cr3O10 &c. (M = one atom of a

normal chromate bichromate trichromate monovalent metal.)

_Chromates._--The alkaline chromates are usually obtained by fusion of

a chromium compound with an alkaline carbonate and an oxidizing agent,

such for example as potassium nitrate or chlorate. The native

chrome-ironstone (Cr2O3.FeO) may be used in this way as a source of

such compounds, being fused in a reverberatory furnace, along with

soda-ash and lime, the oxidizing agent in this case being atmospheric

oxygen. They may also be prepared by oxidizing chromium salts (in

alkaline solution) with hydrogen peroxide, chlorine, bleaching powder,

potassium permanganate and manganese dioxide. The majority of the

chromates are yellow in colour, and many of them are isomorphous with

the corresponding sulphates. The alkaline chromates are soluble in

water, those of most other metals being insoluble. By the addition of

mineral acids, they are converted rapidly into bichromates. They are

easily reduced in acid solution by sulphuretted hydrogen, and also by

sulphur dioxide to chromium salts. The chromates are stable towards

heat; they are poisonous, and may be recognized by the yellow

precipitates they give with soluble barium and lead salts.

Potassium chromate, K2CrO4, may be prepared by neutralizing a solution

of potassium bichromate with potassium carbonate or with caustic

potash. It crystallizes in yellow rhombic prisms, and is readily

soluble in water, the solution having a bitter taste and an alkaline

reaction. When heated in a current of sulphuretted hydrogen, or carbon

bisulphide, it yields a mixture of chromium sesquioxide and sulphide.

When heated with sulphur it yields chromium sesquioxide. Sodium

chromate, Na2CrO4.10(H2O), forms pale yellow crystals isomorphous with

hydrated sodium sulphate, Na2SO4.10(H2O). It is deliquescent, and

melts at 23 deg. C. (M. Berthelot). By evaporation of its aqueous solution

at temperatures above 30 deg. C. it may be obtained in the anhydrous

condition. Lead chromate, PbCrO4, occurs native as the mineral

crocoisite, and may be obtained as an amorphous pale yellow solid by

precipitating a soluble lead salt by an alkaline chromate. It is used

as a pigment under the name "chrome yellow." When digested for some

time with a caustic alkali it is converted into a basic salt,

PbCrO4.PbO, a pigment known as "chrome red." It melts readily, and on

cooling resolidifies to a brown mass, which at moderately high

temperatures gives off oxygen and leaves a residue of a basic lead

salt; for this reason fused lead chromate is sometimes made use of in

the analysis of organic compounds. Silver chromate, Ag2CrO4 is a dark

red amorphous powder obtained when silver nitrate is precipitated by

an alkaline chromate. It is decomposed by the addition of caustic

alkalis, forming silver oxide and an alkaline chromate.

_Bichromates._--The bichromates are usually of a red or reddish-brown

colour, those of the alkali metals being readily soluble in water.

They are readily decomposed by heat, leaving a residue of the normal

chromate and chromium sesquioxide, and liberating oxygen; ammonium

bichromate, however, is completely decomposed into chromium

sesquioxide, water and nitrogen. Sulphuretted hydrogen and sulphur

dioxide reduce them in acid solution to the condition of chromium

salts.

Potassium bichromate, K2Cr2O7, is obtained by fusing chrome ironstone

with soda ash and lime (see above), the calcium chromate formed in the

process being decomposed by a hot solution of potassium sulphate.

After the calcium sulphate has settled, the potassium chromate

solution is converted into bichromate by the action of sulphuric acid,

and the salt is allowed to crystallize. It forms large triclinic

prisms of specific gravity 2.6-2.7, which are moderately soluble in

cold water and readily soluble in hot water. The solution is strongly

acid in reaction and is very poisonous. Potassium bichromate finds

extensive application in organic chemistry as an oxidizing agent,

being used for this purpose in dilute sulphuric acid solution, K2Cr2O7

+ 4H2SO4 = KaSO4 + Cr2(SO4)3 + 4H2O + 3O. On the addition of

concentrated sulphuric acid to a cold saturated solution of the salt,

red crystals of chromium trioxide, CrO3, separate (see CHROMIUM),

whilst when warmed with concentrated hydrochloric acid and a little

water, potassium chlorochromate is produced. When heated with

phosphorus trichloride in a sealed tube to 160 deg. C., potassium

chlorochromate, phosphorus oxychloride, potassium chloride, and a

complex chromium oxide (possibly Cr3O6) are produced (A. Michaelis,

_Jour. prak. Chem._, 1871, ii. 4, p. 452). Potassium bichromate finds

application in photography, in calico-printing and in the preparation

of bichromate cells. Sodium bichromate, Na2Cr2O7.2{H2O}, may be

obtained by the addition of the requisite quantity of chromium

trioxide to a solution of sodium chromate. It crystallizes in

hyacinth-red prisms, which are very hygroscopic and melt at 320 deg. C.

_Trichromates._--The trichromates are obtained by the addition of

nitric acid (of specific gravity about 1.2) to solutions of the

bichromates. They form rhombic crystals of a red or brown red or brown

red colour and are readily decomposed by warm water, with formation of

the bichromate.

_Perchromic Acid._--By the addition of hydrogen peroxide to a solution

of chromic acid, a fine blue coloration due to a perchromic acid is

produced which is readily absorbed by shaking out with ether. The

following formulae have been assigned to the compound:--H2O2.CrO3 (H.

Moissan, _Comptes rendus_, 1883, 97, p. 96); H2O2.2HCrO4 (M.

Berthelot, _Comptes rendus_, 1889, 108, p. 25); Cr2O7.xH2O (L.C.A.

Barreswil, _Ann. chim. et phys._, 1847 [3], 20, p. 364), and

CrO6.3{H2O} (T. Fairley, _Chem. News_, 1876, 33, p. 237). The more

recent investigations of H.G. Byers and E.E. Reed (_Amer. Chem.

Jour._, 1904, 32, p. 503) show that if metallic potassium be added to

an ethereal solution of the blue compound at -20 deg. C., hydrogen is

liberated and a purple black precipitate of the perchromate, of

composition KCrO4 or K2Cl2O8, is produced; this compound is very

unstable, and readily decomposes into oxygen and potassium bichromate.

Similar sodium, ammonium, lithium, magnesium, calcium, barium and zinc

salts have been obtained. It is shown that the blue solution most

probably contains the acid of composition, H2Cr2O8, whilst in the

presence of an excess of hydrogen peroxide more highly oxidized

products probably exist.

BICKER (connected by Skeat with _bike_, to thrust or strike), an Old

English word (traced from the 13th century) implying conflict or

disputation. A poetical use, from the noise, is seen in Tennyson's

_Brook_, "to bicker down the valley."

BICKERSTAFFE, ISAAC (c. 1735-c. 1812), English dramatist, was born in

Ireland about 1735. At the age of eleven he was appointed a page to Lord

Chesterfield, then lord lieutenant of Ireland, and subsequently held a

commission in the Marines, but was dismissed the service under

discreditable circumstances. He was the author of a large number of

plays and burlesque farces interspersed with songs, produced between

1760 and 1771. The best-known are _Maid of the Mill_ (founded on

Richardson's _Pamela_), _The Padlock, He Would if he Could, Love in a

Village, The Hypocrite_ and _The Captive_. In 1772 Bickerstaffe,

suspected of a capital offence, fled to the continent. The exact date of

his death is unknown, but he is stated to have been still living in

abject misery in 1812.

A full account of his dramatic productions is given in _Biographia

Dramatica_, edited by Stephen Jones (1812).

BICKERSTETH, EDWARD (1786-1850), English evangelical divine, brother of

Henry, Baron Langdale, master of the rolls (1836-1851), and uncle of

Robert Bickersteth, bishop of Ripon (1857-1884), was born at Kirkby

Lonsdale, and practised as a solicitor at Norwich from 1812 to 1815. In

1816 he took orders, and was made one of the secretaries of the Church

Missionary Society. On receiving the living of Watton, Hertfordshire, in

1830, he resigned his secretaryship, but continued to lecture and

preach, both for the Church Missionary Society and the Society for the

Conversion of the Jews. His works include _A Scripture Help_ (London,

1816), which has been translated into many European languages, and

_Christian Psalmody_ (London, 1833), a collection of over 700 hymns,

which forms the basis of the _Hymnal Companion_ (London, 1870), compiled

by his son, E.H. Bickersteth, bishop of Exeter (1885-1890). He was

active in promoting the Evangelical Alliance of 1845, strongly opposed

the Tractarian Movement, and was one of the founders of the Irish Church

Missions, and Parker, Societies.

EDWARD BICKERSTETH (1814-1892), dean of Lichfield, was his nephew, and

EDWARD BICKERSTETH (1850-1897), bishop of South Tokyo, his grandson.

BICYCLE (from prefix _bi_ = twice, and [Greek: kyklos] a circle, wheel).

The modern bicycle, as developed from the old velocipede (see CYCLING),

consists essentially of two wheels placed one behind the other and

mounted on a frame which carries a saddle for the rider. Between the

wheels is a crank-axle which the rider drives by means of the cranks and

pedals, and its motion is transmitted to the rear or driving wheel

either by a chain which passes over two chain wheels, one fixed on the

crank-axle and the other on the hub of the rear wheel, or, in the

chainless bicycle, by a tubular shaft and two pairs of bevel-wheels. The

rear wheel is usually so arranged that it can turn, when the bicycle is

running by its own momentum, independently of the chain and pedals

("free-wheel"), and a variable speed gear is often provided so that the

rider may at will alter the ratio between the rate of revolution of the

crank-axle and the driving wheel. The front, or steering wheel, is

mounted in a fork having its two upper ends brazed into the "crown," to

which also the lower end of the steering tube is brazed. The steering

tube is mounted by ball bearings in the socket tube, which forms the

forward portion of the rear-frame.

The highest quality of materials and the most accurate workmanship are

required to produce a first-class bicycle. Steel of 75 to 100 tons per

sq. in. tensile strength is used in chains, spokes, &c. In balls and

ball-races, hardness without brittleness, and homogeneity are of primary

importance. Broken balls, or even traces of wear in bearings, are now

seldom heard of in a first-class bicycle. The process of case-hardening,

whereby an extremely hard outer skin is combined with a tough interior,

has been brought to a high degree of perfection, and is applied to many

parts of the bicycle, particularly chains, free-wheels and toothed-wheel

variable speed gears. Interchangeability of parts is secured by working

to the smallest possible limits of error of workmanship.

[Illustration: Fig 1.]

_Frames._--Fig. 1 represents a road-racer. A full roadster would have

the handles a little higher relatively to the saddle, and would be

provided with mud-guards, free-wheel and sometimes a gear-case and

variable speed gear. Fig. 2 shows a lady's bicycle with gear-case and

dress-guard. The rear frame of the "diamond" type (fig. 1) is

subjected to very small stresses due to vertical load. The front fork

and steering post are subject to bending moment due to the reaction

from the ground in the direction _dcb_. A slight amount of elasticity

in the front fork adds considerably to the comfort in riding over

rough roads. When the brake is applied lightly to the front wheel, the

reaction from the ground falls more closely along the axis of the

front fork, and the bending moment at the crown is diminished. If the

front brake is applied harder the reaction from the ground at d may

pass through the crown, in which case the bending moment at the crown

is zero. Still harder application of the brake causes a bending moment

in the opposite direction. In fig. 1 the axes of the top and bottom

tubes of the rear frame are produced to meet at _a_. If the reaction

from the ground is in the direction _da_, the top and bottom tubes are

subjected to pure compressive and tensile stresses respectively. When

no brake pressure is applied a bending moment due to the overhang _ab_

is superimposed on these tubes. Thus a short socket head with top tube

sloping downwards towards the head gives a stronger frame than a

horizontal top tube. The steering axis _ef_ is arranged so as to cut

the ground at _f_, a little in front of the point of contact _d_ of

the wheel with the ground, giving a slight castor action, and making

steering possible without use of the handle-bar. The rake of the

steering head (that is the angle between _ef_ and _bd_) and the set of

the fork (that is the displacement of the wheel centre _c_ from the

axis _ef_) may be varied within tolerably large limits without much

affecting the easy steering properties of the bicycle. The transverse

stresses on the rear frame due to the action of pedalling are more

severe than those due to the vertical load. The pedal pressure is

applied at a considerable distance from the central plane of the

bicycle, and the pedal pin, cranks and crank-axle are subjected to a

bending moment which is transmitted by the ball bearings to the frame.

The down-tube from the seat lug to the crank-bracket and the bottom

tube from the foot of the steering socket tube to the crank-bracket

are made fairly stout to resist this bending moment. Further, the pull

of the chain causes a transverse bending moment in the plane of the

chain-stays, which must be stiff enough under heavy pedal pressure.

[Illustration: FIG. 2.]

The tubular portions of the frame are made of weldless cold-drawn

steel tube. The junctions or lugs are usually of malleable cast iron,

bored to fit the outside of the tube, the final union being effected

by brazing. In very light bicycles the tubes are kept thin, 22 or 24

W.G. (.028 in. or .022 in. thickness) at the middle, and are

strengthened at the ends by internal liners. Or butt-ended tubes are

employed, the tubes being drawn thicker at the ends than in the

middle. The steering post and fork sides especially should be thus

strengthened at their junction with the crown. Some of the best makers

use sheet steel stampings instead of cast lugs, greater lightness and

strength being secured, and in some cases the sheet steel lugs are

inside the tubes, so that the joints are all flush on the outside. The

front fork blades are best made of sheet steel stamped to shape and

with the edges brazed together to form a hollow tube. The sheet steel

that can be thus employed has a much higher elastic limit than a

weldless steel tube.

[Illustration: FIG. 3.]

_Bearings._--Ball bearings are universally used. Each row of balls

runs between two ball-races of hardened steel, one on the stationary

member, the other on the rotating member. The outer is called the

"cup," and the inner the "cone." One of the four ball-races is

adjustable axially so that the bearing may run without any shake. The

ball-races are often made of separate pieces of steel, but the

crank-axle usually has the cones formed integral with it, the

necessary hardness being obtained by case-hardening. According as the

two cups face outwards or inwards the bearing is said to have outward

or inward cups, and according as the adjustable ball race is the cone

or cup, the bearing is said to be cone-adjusting or cup-adjusting.

Fig. 3 shows a ball-bearing hub with outward cups. The hub-shell H is

turned out of mild steel, and the cups C are forced into the ends of

the hub-shell and soldered thereto. A thin washer W is then spun into

the end, for the purpose of retaining oil, and a thin internal tube T

unites the two cups, and guides the oil fed in at the middle of the

hub to the balls. The projecting flanges S are for the attachment of

the tangent spokes used to build the hub into the wheel. The spindle A

has the two cones screwed on it, one C1 against a shoulder, the other

C2 adjustable. The spindle ends are passed through the back-fork ends

and are there adjusted in position by the chain-tension adjusters.

After adjustment the nuts N clamp the spindle securely between the

fork-ends. The chain-wheel or free-wheel clutch is screwed on the end

of the hub-shell, with a right-hand thread. The chain being at the

right-hand side of the bicycle (as the rider is seated) the driving

pull of the chain tends to screw the chain-wheel tight against the

shoulder. A locking-ring R with a left-hand thread, screwed tight

against the chain-wheel, prevents the latter from being unscrewed by

back-pedalling. With a free-wheel clutch screwed on the hub, the

locking-ring may be omitted.

[Illustration: FIG. 4. ]

Fig. 4 shows one end of the cup-adjusting hub, with inward bearings.

The cones are formed of one piece with the spindles, and the adjusting

cup C is screwed in the end of the hub shell, and locked in position

by the screwed locking-ring R. The figure also illustrates a divided

spindle for facilitating the removal of the tire for repair when

required without disturbing the wheel, bearings, chain or gear-case.

The chain side of the hub-spindle, not shown in the figure, is secured

to the frame in the usual way; on the left side the spindle S projects

very little beyond the adjusting cup. A distance washer W is placed

between the end of the spindle S and the fork-end F. A detachable

screw-pin, or the footstep, P, passes through the chain-adjusting

draw-bolt B, the fork-end F, and the distance washer W, and is screwed

into the end of the spindle S, the hexagon head of the detachable pin

drawing all the parts securely together. On unscrewing the detachable

pin, the distance washer W drops out of place, leaving a clear space

for removing the tire without disturbing any other part.

The inward-cups bearing retains more oil than the other form. The

pressure on a ball being normal to the surface of contact with the

ball race, and each ball touching two ball races, the two points of

contact must be in line with the centre of the ball. All the lines of

pressure on the balls of a row meet at a point _f_ on the axis of the

spindle. The distance between the two points _f_ (fig. 5) may be

called the virtual length of the bearing. Other things being equal,

the outward-cups bearing has a greater virtual length than the

inward-cups bearing. In hubs and pedals where the actual distance

between the two rows of balls is sufficient, this point is of little

importance. At the crank-axle bearing, however, where the pedal

pressure which produces pressure on the axle bearings is applied at a

considerable overhang beyond the ball-races, the greater virtual

length of the outward-cups is an advantage.

[Illustration: FIG. 5.]

Fig. 5 shows diagrammatically the usual form of crank-axle bearing

which has inward-cups and is cup-adjusting. The end of the bracket is

split and the cup after adjustment is clamped in position by the

clamping screw S. The usual mode of fastening the cranks to the axle

is by round cotters C with a flat surface at a slight angle to the

axis, thus forming a wedge, which is driven in tight. The small end of

the cotter projects through the crank, and is screwed and held in

place by a nut. The chain-wheel at the crank-axle is usually

detachably fastened to the right-hand crank.

The Rudge-Whitworth crank-bracket has outward cups and is

cup-adjusting. The cranks are cotterless. Fig. 6 is a sectional view.

The left crank and axle are forged in one piece. The fastening of the

right crank and chain-wheel is by multiple grooves and teeth, this

fastening being better mechanically than the cotter type.

[Illustration: FIG. 6. ]

_Pedals._--The pedal consists of a pedal body, on which the foot of

the rider rests, mounted by ball-bearings on a pedal-pin, which is

secured to the end of the crank and turns with it. The pedal body is

made in many forms, but usually the bearing-cups are contained in a

tube from the ends of which project plates, carrying rubber blocks, or

serrated plates (rat-trap pedals), on which the foot of the rider

rests. Cone adjustment is most used. The fastening of the pedal pin to

the crank is best effected by screwing it up against a shoulder, the

right and left crank eyes being tapped with right and left hand screws

respectively. With this arrangement, if the pedal pin screw is a slack

fit in the crank eye, the pressure on the pedal tends to screw it up

against the shoulder.

_Wheels._--Bicycle and tricycle wheels are made on the "suspension"

principle, the spokes being of high-tenacity steel wire, screwed up to

a certain initial tension, thus putting a circumferential compression

on the rim. In the "artillery" wheel, the wooden spokes are in

compression, and the rim is under tension. The rims, which are made to

a section suitable for pneumatic tires (see TIRE), may be of sheet

steel or aluminium alloy rolled to the required section, either

without joint or jointed by brazing or riveting. Wood rims are used on

racing bicycles, but in England are not popular for roadster bicycles.

Holes are drilled at or near the central plane of the rim for the

spoke nipples, which have shoulders resting on the outer surface of

the rim and shanks projecting through the rim towards the hub. The

spoke ends are screwed to fit the nipples. The shank of the nipple has

a square cut on its outside surface by which it can be screwed up. The

spoke flanges on the hub are placed far apart and the spread of the

spokes gives the wheel lateral stability. Tangential rigidity under

driving and braking is obtained by fastening the spokes to the hub

tangentially (figs. 1 and 2). The hub fastening of the spoke is simply

obtained by forming a hook and head on the spoke end, and passing it

through a hole in the hub flange. The best spokes are butted at the

ends, i.e. made of larger diameter than at the middle, to allow for

screwing at one end and the hook bend at the other.

[Illustration: FIG. 7.]

_Chains._--There are two widely used types of chains. The "block"

chain (fig. 7) consists of a series of central blocks connected by

side plates. The "roller" chain (fig. 8) consists of a series of

outside and inside links. The outside link A is made up of two steel

side plates P united by two shouldered rivets R. The inside link B

consists of two side plates P united by two tubular pieces T, which

form bushes for the rivets R and pivots for the rollers L. The rivets,

bushes and rollers are case-hardened.

[Illustration: FIG. 8.]

Roller chains for cycles are made in two pitches, 1/2 in. and 5/8 in.,

and in widths from 1/8 in. to 1/4 in. between the side plates of the

inside links. The weight of 4 ft. length (96 links) of a 1/2 in. pitch

1/8 in. wide roller chain is about 121/4 oz., and its breaking load is

about 2000 lb. In a block chain the ends of the blocks engage with the

teeth of the chain-wheels, and the same surfaces continually coming

into contact, the wear may become excessive, especially when exposed

to mud and grit. In the roller chain the outer surfaces of the rollers

engage with the teeth of the chain-wheels, and during the engagement

and disengagement may roll slightly on the tubular rivets. The surface

of contact of the roller and tubular rivet is not directly exposed to

the dust and grit from the road. The rollers therefore serve the

double purpose of (1) transferring the relative motion of the parts to

a pair of surfaces under better conditions as regards lubrication, and

(2) presenting a new part of the outside surface of the roller for the

next engagement with the chain-wheel. The durability of roller chains

is thus much greater than that of block chains, under the usual

conditions of cycling.

[Illustration: FIG. 9.]

_Chain-wheels._--The pitch line of the chain-wheel is polygonal (fig.

9), _a, b, c, d_ being centres of adjacent joints of the chain when

lying in contact with the wheel. The path of the joint _a_ of the

chain, relative to the chain-wheel as it enters on to and leaves the

chain-wheel, is evidently the curve _a3 a2 a a'1 a'2_ made up of a

series of circular arcs having centres _d, c, b, b', c'_,

respectively. Similarly for the path of the adjacent joint _b_. The

fullest possible form of the tooth is that between the two parallel

curves, of radii less by an amount equal to the radius of the roller,

as indicated in fig. 9. But since it is neither necessary nor

desirable that the roller should roll along the whole length of the

tooth, the radii of curvature of the tooth outline may be less than

shown in fig. 9. A good arrangement of tooth form is shown in fig. 10.

[Illustration: FIG. 10.]

Owing to the polygonal pitch surfaces of the chain-wheels a chain does

not transmit motion with constant speed-ratio of the shafts. The

variation of speed-ratio in a chain with links of equal pitch is

approximately inversely proportional to the square of the number of

teeth in the smaller chain-wheel, as shown in the table annexed, in

which the percentage variation is--

maximum speed-ratio - minimum speed-ratio

----------------------------------------- x 100.

average speed-ratio

+----------------------------+-----+-----+-----+-----+-----+-----+-----+-----+

| Number of teeth on hub | | | | | | | | |

| chain-wheel | 10 | 12 | 14 | 16 | 18 | 20 | 24 | 28 |

+----------------------------+-----+-----+-----+-----+-----+-----+-----+-----+

| Percentage Variation | 5.1 | 3.5 | 2.7 | 2.1 | 1.6 | 1.3 | 0.9 | 0.7 |

+----------------------------+-----+-----+-----+-----+-----+-----+-----+-----+

The rollers as they come in contact with the chain-wheel strike it

with a speed proportional to the angular speed of the chain-wheel and

to the pitch of the chain, causing a certain amount of noise.

_Chain Adjustment._--To keep the chain running at correct tension, it

is necessary to have some adjustment of the distance between the

crank-axle and hub. This is obtained either by an eccentric adjustment

at the crank-bracket, an eccentric adjustment at the hub-spindle or by

draw-bolts at the fork-ends, the last method being most common.

_Gear-case._--The modern roller chain by makers of repute is so

durable that the necessity for a gear-case is not so great as when

chains were of inferior quality. But if the bicycle is to require the

minimum amount of care and attention a gear-case should be fitted. The

Sunbeam gear-case is built into the frame and is oil-retaining, and

the chain, chain-wheels, free-wheel and two-speed gear are continually

lubricated by an oil-bath. A detachable gear-case is not usually

oil-retaining, but serves to exclude grit and mud from the chain.

_Gear and Crank-length._--The "gear" of a bicycle is given by the

formula Dn1/n2 where D is the diameter of the driving wheel in inches,

n1 and n2 the numbers of teeth on the crank-axle and hub chain-wheels

respectively. At each revolution of the crank-axle, the bicycle is

moved forward a distance equal to the circumference of the circle of

diameter equal to the gear. Thus with a 28 in. diameter driving-wheel,

18 teeth on the hub chain-wheel, 45 teeth on the crank-axle

chain-wheel, the bicycle is geared to 70 in. The usual crank-length is

61/2 to 7 in. Cranks of 71/2, 8 and 9 in. length can be had, but require a

bicycle frame of special design. The gear should be roughly

proportional to the crank-length. The gear 10 times the crank-length

is a good proportion for an average rider.

_Free-wheels._--A free-wheel clutch transmits the drive in one

direction only, allowing the pedals to remain at rest at the will of

the rider, while the bicycle runs on. With a free-wheel, chain

breakages are reduced or nearly eliminated, as should the chain get

accidentally caught the free-wheel comes into play. There are three

principal types of free-wheel clutches--roller, ratchet and friction

cone. The roller type was the earliest in use, but has fallen into

disfavour. A sectional view of a ball-bearing ratchet free-wheel, with

outer cover removed, is shown in fig. 11. The ring on which the three

pawls and springs are carried is screwed on the end of the hub; the

chain-wheel is combined with an inner ratchet wheel and is mounted by

two rows of ball bearings on the pawl ring. The friction cone type of

free-wheel clutch is usually combined with a brake inside the hub,

the whole combination being termed a coaster hub. Fig. 12 shows a

sectional view of the Eadie two-speed coaster, in which the free-wheel

clutch and brake are combined with a two-speed gear. The free-wheel

clutch action is as follows: A forward pressure of the pedals turns

the externally threaded driving cone H in the internally threaded cone

F, the latter being thus forced to the right into engagement with the

cup J which is screwed to the hub-shell, thus forming a friction

driving clutch. The pedals being held stationary the driving cone H is

stationary, and the hub running on the ball bearings G, the cone F

travels towards the left until released from the cup J, when it also

remains at rest. In this type of free-wheel clutch it is essential

that there be little or no friction between the screwed surfaces of H

and F, else on beginning to pedal, the cone F may remain stationary

relative to the driving cone H, and no engagement between F and J may

take place. If F be prevented from turning faster than the hub-shell,

as is sometimes done by a light spring between the two, the engagement

of the friction clutch must take place as soon as the pedals tend to

move faster than the speed corresponding to that of the hub-shell.

[Illustration: FIG. 11.]

[Illustration: FIG. 12.--Eadie Two-speed Coaster Hub]

_Brakes_ of many types are used, differing in the place and mode of

application. The tire brake has fallen into disuse, rim brakes and

internal hub brakes being usual. The retarding force that can be

applied by a brake is limited by the possibility of skidding the

wheel. In riding at uniform speed, without acceleration, the greater

part of the load is on the rear-wheel; but as soon as the brake is

applied to cause retardation the wheel load distribution is altered,

more load being thrown on the front wheel. Thus the most powerful

brake is one applied to the front wheel. On the other hand, a

front-wheel brake often sets up an unpleasant vibration of the front

fork. On a greasy road too powerful pressure on the front-wheel brake

may cause a side-slip with no chance of recovery; while with the

back-wheel brake recovery is possible. The Bowden system of

transmission, which is largely used for cycle brake work, consists of

a steel stranded cable inside a flexible tube formed by a closely

wound spiral of steel wire, the cable being practically inextensible

and the spiral tube practically incompressible; if the ends of the

latter be fastened it forms a guide tube for the cable, any movement

given to one end of the cable being transmitted to the other end. The

spiral tube may be led round any corners, but the frictional

resistance of the cable inside the spiral tube increases with the

total angle of curvature of the guide tube; the laws of friction of a

rope passing over a drum apply. In fitting the Bowden system the total

curvature should therefore be kept as small as possible. With a

back-pedalling rim brake the cycle cannot be wheeled backwards unless

a special device is used to throw the operating clutch out of action.

A back-pedalling brake is most conveniently applied inside the hub, as

in the coaster hub. In the Eadie two-speed coaster (fig. 12) the

braking action is obtained by the expansion of the steel band I

against a phosphor bronze ring L carried by the rotating hub-shell.

The steel band I is mounted on a disk with a projecting arm, the end

of which is clipped to the frame tube. The expansion of the steel band

is effected by the movement of the lever K fixed to the cone E. On

moving the pedals backward the screw drive-ring H forces the cone nut

F with which it engages to the left into contact with the cone E. The

backward movement of the pedals being continued sets up the required

movement of the lever K, and applies the brake.

_Variable Speed Gears._--The effort required to propel a bicycle

varies greatly, according to the conditions of road surface, gradient

up or down hill, wind against or behind. To meet these variable

conditions, a variable speed-gear is an advantage. The action of the

human motor is, however, so entirely different from that of a

mechanical motor that it is easy, without practical experience, to

over-estimate the value of a variable speed gear. Probably from 50 in.

to 80 in. represents the greatest useful range of gear for an average

rider. With a gear lower than 50 in., the speed of climbing a steep

gradient is so slow that balancing difficulties begin, and it is

better to walk up. With 80 in. gear and 7 in. cranks, the speed of

pedalling, even at 25 miles an hour, is not irksome, provided the

conditions are favourable. For those who have not cultivated the art

of quick pedalling the useful range of gear under favourable

conditions may be extended to say 90 in. or 100 in. The gear-ratio of

a two-speed gear is the ratio of the high to the low gear. The most

suitable gear-ratio for any rider will depend upon his personal

physique and the nature of the country in which he rides. For a

middle-aged rider of average physique a gear-ratio of 125:100 is

suitable, for those of weaker physique the gear-ratio may with

advantage be greater, say 137.5:100; while for road racing it may be

smaller, say 117:100. With a three-speed gear the low and high gears

should be chosen respectively below and above the single gear which

suits the rider, the middle gear being about the same as the rider's

usual single gear.

All the variable speed gears at present made consist of toothed wheel

mechanism either at the hub or crank-bracket, and nearly all are based

on the same epicyclic train of toothed wheels. At one speed there is

no relative motion of the toothed wheels, the whole mechanism

revolving as one solid piece; this is called the "normal" speed. At

the other speed one part of the mechanism is held stationary and the

driven part revolves faster or slower than the driver, according as

the gearing is up or down. In some two-speed gears the normal is the

high speed, in others the low. In expressing the gear-ratio, the

normal speed will be denoted by 100. At the normal gear there is of

course no additional friction. The type of two-speed gear used

practically settles whether the normal gear is at high or low speed;

but it seems best, other things being equal, to have the low speed the

normal gear, as then the conditions are worst. If the high speed is at

normal gear, then at low speed the chain gears up and the two-speed

gear gears down; which is, to say the least, a roundabout

transmission.

[Illustration: FIG 13: Sunbeam Two-Speed Gear.]

Fig. 13 is a sectional view of the Sunbeam two-speed gear which is

arranged at the crank-axle, and clearly shows the relative disposition

of the toothed wheel mechanism common to nearly all cycle speed gears.

The chain-wheel is fixed to the annular wheel A; the planet carrier C

is fixed to the crank; and when the sun-wheel D is held stationary,

the chain-wheel is driven faster than the cranks. When the sun-wheel D

is released, the planet carrier C drives the annular wheel A by the

ratchet free-wheel clutch; the part thus revolves as a solid piece,

and gives the normal or low speed. The gear-ratio is 133.3:100.

[Illustration: FIG 14:]

Fig. 14 is a sectional view of the "Hub" two-speed gear, the

chain-wheel or free-wheel clutch being omitted. In this the annular

wheel is the driver, and the planet carrier is part of the hub-shell.

When the central pinion is held stationary the hub is driven at a less

speed than the chain-wheel; the gear-ratio is 100:76.2.

In the Fagan two-speed gear, shown combined with the Eadie coaster hub

in fig. 12, the sun-wheel B can be moved laterally by the striking

gear, so as to engage with the chain-wheel centre C, giving normal

gear, or with an internally toothed wheel A fixed to the spindle. The

chain-wheel centre C carries the annular wheel, and the four planet

pinions D are mounted on the driving cone H. Thus the gear gives a

reduction of speed, the gear-ratio being 100:75. The Sturmey-Archer

three-speed hub (fig. 15) has gear-ratios 125:100:80. In the high gear

position the epicyclic toothed wheels are to the extreme left

position. The chain-wheel is mounted by a free-wheel on a drive-ring,

with which the ends of the spindles of the planet wheels engage at

high gear. The sun-wheel, not shown in the figure, is held stationary,

and the annular wheel engages with a ring screwed to the hub-shell, by

means of keys engaging in notches. The hub is thus driven at a higher

speed than the chain-wheel. For normal gear, the striking gear draws

the internal mechanism of the hub towards a central position,

compressing a spring, disengaging the sun-wheel and locking the

drive-ring hub and annular wheel together. At low gear, the internal

mechanism is drawn to the right-hand side, where the planet carrier

engages with the end plate of the hub by means of claw-clutches. The

annular wheel is still engaged with the drive-ring, and the sun-wheel

is again locked to the spindle. The hub is thus driven at a lower

speed.

[Illustration: Fig. 15.]

_Tandem Bicycles._--The weight of a roadster tandem is about the same

as, or a trifle less than, that of two single roadster bicycles, but

the frictional resistance of the mechanism, the rolling resistance of

the tires, and the air resistance at a given speed are much less than

twice the values for a single bicycle. Consequently, much higher

speeds are attained on the level, and free-wheeling down hill is much

faster. On the other hand for riding up hill on a moderate gradient,

the effort required is about the same as on a single, while on very

steep gradients the tandem is at a slight disadvantage. For the full

enjoyment of tandem riding, therefore, a two-speed gear is a

necessity, while a three-speed gear is better. In the Raleigh tandem

(fig. 16) the frame design is such that it can be ridden by two

ladies, and the strength and rigidity is sufficient for two

heavyweight riders. The steering and control of the brakes is done by

the front rider. Connected steering is employed in some tandems,

allowing the rear rider to steer if necessary. For two expert tandem

riders, connected steering is slightly more pleasurable than fixed

handle grips for the rear rider, but on the other hand, divided

control may lead to disaster at a critical moment. Most passengers on

a tandem with connected steering unconsciously give the steering a

bias in one direction or the other, putting a nervous strain on the

steersman which becomes almost intolerable towards the end of a long

ride.

[Illustration: FIG. 16.]

_Motor Bicycles._--Fig. 17 shows a touring motor bicycle, fitted with

luggage carrier and stand, the latter for supporting the bicycle while

at rest. The average speed of a motor bicycle being much greater than

that of a pedal bicycle the stresses on the frame due to moving over

rough roads are greater. This necessitates greater strength and weight

in all parts--frame, wheels and tires. To take this increased weight

up steep gradients requires increased engine power. The weight of a

touring motor bicycle may be from 150 to 200 lb. The drive is usually

by a V belt of leather, or of canvas and rubber, the angle of the V

being 28 deg.. The engine speed at maximum power is from 1500 to 2000

revolutions a minute, and the belt gears down in a ratio varying

between 1/3 and 1/6 according to the cylinder capacity of the engine.

The possibility of the belt slipping slightly is conducive to

smoothness of drive; chain-driving, except in combination with a

slipping clutch, is too harsh. The principal defect of the belt drive

is that the belt stretches, and on coming to a steep hill may have to

be tightened before the bicycle can be driven up. The control of the

speed and power of the engine is effected by the throttle, extra air

valve and spark advance, the levers for which are all placed within

convenient reach of the driver. As the engine is almost invariably

air-cooled, the skilful manipulation of these three levers is

essential for satisfactory results. On a good level road when the

engine may be working at a small fraction of its maximum power, the

proportion of air mixed with the petrol vapour from the carburettor

may be great, giving a "weak" mixture, yet one rich enough to be

ignited in the cylinder. The throttle valve may be fully open and the

spark advanced for high speed; the throttle partially closed and spark

retarded for slow speed. Under these conditions the engine will run

for an indefinite period without overheating. Up a steep gradient, the

mixture may have to be made "richer" by partial closing of the extra

air opening, and as more heat is evolved, the cylinder walls may

become overheated, unless the engine power is sufficient to keep the

bicycle moving through the air at a good speed. As the engine cannot

run steadily at low speed, pedalling is resorted to for starting and

for riding slowly through traffic. For this purpose, an "exhaust valve

lifter" is usually fitted, by means of which the exhaust can be kept

permanently open, in order to relieve the resistance to pedalling

which the compression stroke would otherwise offer.

[Illustration: FIG. 17.]

The nominal rating of the horse-power of a motor cycle engine is

rather vague and indefinite. A 3-H.P. engine may have a cylinder of

76-80 mm. diameter and 76-80 mm. stroke. Twin-cylinder engines, with

one crank, are largely used, and some excellent 4-cylinder motor

bicycles are made with bevel gear transmission. The chief advantage of

the multicylinder engine is the smoother drive obtained.

A "trailer" with two wheels for carrying a passenger can be attached

to a motor bicycle, but the element of risk is increased. A side-car,

with one additional wheel, forms a safer passenger carrier.

(A. Sp.)

BIDA, a town and administrative district in the British protectorate of

Northern Nigeria. Bida town, situated in 9 deg. 5' N., 6 deg. E., 25 m. N. by E.

of Muraji on the Niger, is the capital of the province of Nupe. It was

founded in 1859 when Fula rule was established in Nupe, is walled and of

considerable size. In 1909 it was connected by railway with Baro, 40 m.

S.S.E., the river terminus of the Northern Nigeria railway. The

inhabitants, mostly Hausa, carry on an extensive trade and are

especially noted for their embossed brass and copper work. The Bida

goblets, in which brass and copper are beautifully blended, are of

extremely elegant design. The town also boasts a glass factory. The

preparation of indigo and the dyeing of cloths are other flourishing

industries. The streets are planted with huge shade-trees, so that as

Bida is approached it looks like a forest.

In 1897 there was a two-days' fight outside the walls of Bida between

the forces of the emir of Nupe and those of the Royal Niger Company,

ending in the defeat of the Fula army (mostly cavalry). The victory was

not followed at the time by a British occupation, and the defeated king

returned after the withdrawal of the company's troops and re-established

himself upon the throne. In 1900 he allied himself with other hostile

chiefs and adopted an openly antagonistic attitude to the British

government. In 1901 it became necessary for British troops to march on

Bida. The emir fled, without fighting, to Kano. Another emir was

appointed in his place, and the province of Nupe was placed under

British administrative control. Since that date the town has been

peaceful and very prosperous. A mission school has been established, and

is attended by the sons of the emir and of the principal chiefs, who are

desirous of learning to read and write English. The administrative

district of Bida includes the town and is the western division of the

province of Nupe (q.v.). (See also NIGERIA: _History_.)

BIDDEFORD, a city of York county, Maine, U.S.A., on the Saco river,

opposite Saco, and on the Atlantic Ocean, 15 m. S.W. of Portland. Pop.

(1890) 14,443; (1900) 16,145, of whom 7,149 were foreign-born (mostly

French Canadians); (census, 1910) 17,079. Biddeford is served by the

Boston & Maine railway, and is connected by electric lines with Portland

and with Old Orchard Beach, a popular summer resort north of the Saco

river. The climate and the scenery in and about Biddeford attract summer

visitors and there are two resorts, Biddeford Pool and Fortune Rocks

within the municipal limits; but the city is chiefly a manufacturing

centre (third in rank among the cities of the state in 1905)--good

water-power being furnished by the river--and cotton goods, foundry and

machine shop products and lumber are the principal products, the first

being by far the most important. The value of the factory products

increased from $5,472,254 in 1900 to $6,948,722 in 1905, or 27%. There

are large quarries of granite of excellent quality. A permanent

settlement was established on both sides of the river about 1630 under

the leadership of Richard Vines (1585-1651) and was named Saco. In 1718

the present name was adopted. In 1762 that portion of Biddeford which

lay east of the river was incorporated as the town of Pepperellborough,

for which name Saco was substituted in 1805. Biddeford was incorporated

as a city in 1855.

BIDDER, GEORGE PARKER (1806-1878), English engineer, was born at Moreton

Hampstead, in Devonshire, on the 14th of June 1806. From a very early

age he manifested an extraordinary natural aptitude for calculation,

which induced his father, who was a stone-mason, to exhibit him as a

"calculating boy." In this way his talent was turned to profitable

account, but his general education was in danger of being completely

neglected. Interest, however, was taken in him by some of those who

happened to witness his performances, among them being Sir John

Herschel, and it was arranged that he should be sent to school in

Camberwell. There he did not remain long, being removed by his father,

who wished to exhibit him again, but he was saved from this misfortune

and enabled to attend classes at Edinburgh University, largely through

the kindness of Sir Henry Jardine, to whom he subsequently showed his

gratitude by founding a "Jardine Bursary" at the university. On leaving

college in 1824 he received a post in the ordnance survey, but gradually

drifted into engineering work. In 1834 Robert Stephenson, whose

acquaintance he had made in Edinburgh, offered him an appointment on the

London & Birmingham railway, and in the succeeding year or two he began

to assist George Stephenson in his parliamentary work, which at that

time included schemes for railways between London and Brighton and

between Manchester and Rugby via the Potteries. In this way he was

introduced to engineering and parliamentary practice at a period of

great activity which saw the establishment of the main features and

principles that have since governed English railway construction. He is

said to have been the best witness that ever entered a committee-room.

He was quick to discover and take advantage of the weak points in an

opponent's case, and his powers of mental calculation frequently stood

him in good stead, as when, for example, an apparently casual glance at

the plans of a railway enabled him to point out errors in the

engineering data that were sufficient to secure rejection of the scheme

to which he was opposed. In consequence there was scarcely an

engineering proposal of any importance brought before parliament in

connexion with which his services were not secured by one party or the

other.

On the constructive side of his profession he was also busily occupied.

In 1837 he was engaged with R. Stephenson in building the Blackwall

railway, and it was he who designed the peculiar method of disconnecting

a carriage at each station while the rest of the train went on without

stopping, which was employed in the early days of that line when it was

worked by means of a cable. Another series of railways with which he had

much to do were those in the eastern counties which afterwards became

the Great Eastern system. He also advised on the construction of the

Belgian railways; with R. Stephenson he made the first railway in

Norway, from Christiania to Eidsvold; he was engineer-in-chief of the

Danish railways; and he was largely concerned with railways in India,

where he strongly and successfully opposed break of gauge on

through-routes. But though he sometimes spoke of himself as a mere

"railway-engineer," he was in reality very much more; there was indeed

no branch of engineering in which he did not take an interest, as was

shown by the assiduity with which for half a century he attended the

weekly meetings of the Institution of Civil Engineers, of which he was

elected president in 1860. He was one of the first to recognize the

value of the electric telegraph. That invention was in its infancy when,

in 1837, jointly with R. Stephenson he recommended its introduction on a

portion of the London & Birmingham and on the Blackwall lines, while

three years later he advised that it should be adopted to facilitate the

working of the single line between Norwich and Yarmouth. He was also one

of the founders of the Electric Telegraph Company, which enabled the

public generally to enjoy the benefits of telegraphic communication. In

hydraulic engineering, he was the designer of the Victoria Docks

(London), being responsible not only for their construction, but also

for what was regarded by some people at the time as the foolish idea of

utilizing the Essex marshes for dock accommodation on a large scale. His

advice was frequently sought by the government on points both of naval

and military engineering. He died at Dartmouth on the 28th of September

1878.

His son, GEORGE PARKER BIDDER, Junr. (1836-1896), who inherited much of

his father's calculating power, was a successful parliamentary counsel

and an authority on cryptography.

BIDDERY, or BIDRI (an Indian word, from Bedar or Bidar, a town in the

Nizam's Dominions), an alloy of copper, lead, tin and zinc used in

making various articles and ornaments which are inlaid with gold and

silver.

BIDDING-PRAYER (O. Eng. _biddan_, to pray, cf. Ger. _beten_), the

formula of prayer or exhortation to prayer said in England before the

sermon in cathedrals, at university sermons, in the Inns of Court and

elsewhere on special occasions. Such formulae are found in the ancient

Greek liturgies, e.g. that of St Chrysostom, in the Gallican liturgy,

and in the pre-Reformation liturgies of England. The form varies, but in

all the characteristic feature is that the minister tells the people

what to pray for. Thus in England in the 16th century it took the form

of a direction to the people what to remember in "bidding their beads."

In course of time the word "bid" in the sense of "pray" became obsolete

and was confused with "bid" in the sense of "command" (from O. Eng.

_beodan_, to offer, present, and hence to announce, or command; cf. Ger.

_bieten_, to offer, _gebieten_, to command), and the bidding-prayer has

come practically to mean the exhortation itself. A form of exhortation

which "preachers and ministers shall move the people to join with them

in prayer" is given in the 55th canon of the Church of England (1603).

BIDDLE, JOHN (1615-1662), frequently called the father of English

Unitarianism, was born on the 14th of January 1615, at Wotton-under-Edge,

in Gloucestershire. He was educated at the grammar school of his native

town and at Magdalen Hall, Oxford. He graduated B.A. in 1638 and

proceeded M.A. in 1641, and was then appointed to the mastership of the

free school in the city of Gloucester, where "he was much esteemed for

his diligence in his profession, serenity of manners and sanctity of

life." He also diligently prosecuted theological studies, and the results

he arrived at were of such a nature as to draw down upon him the

reprobation of the civic authorities. A treacherous friend obtained the

manuscript of his _Twelve Arguments drawn out of Scripture, wherein the

commonly received opinion touching the deity of the Holy Spirit is

clearly and fully refuted_; and in December 1645 he was summoned before

the parliamentary committee then sitting at Gloucester. By them he was

committed to prison, though he was at the time labouring under a

dangerous fever. He was released on bail after a short imprisonment, but

was in July 1647 called before parliament, which desired to inquire into

his views. After tedious proceedings, during which Sir Henry Vane

befriended him, Biddle was committed to custody and his _Twelve

Arguments_, which he had now published, was ordered by parliament to be

seized and burned by the hangman. Notwithstanding this and the ordinance

of the 2nd of May 1648, visiting denial of the doctrine of the Trinity

with death, Biddle issued two tracts, one a _Confession of Faith touching

the Holy Trinity_, and the other _The Testimonies of Irenaeus, &c.,

concerning the one God and the Persons of the Trinity_ (1648). These were

suppressed by government, and the Westminster assembly of divines eagerly

pressed for the passing of an act by which heretics like Biddle could be

put to death. This, however, was resisted by the army, and by many of the

Independent parliamentarians; and after the death of the king, Biddle was

allowed to reside in Staffordshire under surveillance. He engaged in

preaching and in literary work, particularly an edition of the

Septuagint, published by Roger Daniel. In February 1652 the general act

of oblivion gave him complete freedom, and his adherents soon began to

meet regularly for worship on Sundays. They were called Biddellians, or

Socinians, or Unitarians, the name which has now become associated with

their opinions. Biddle was not left long in peace. He translated some

Socinian books, among others the _Life of Socinus_, and published two

catechisms which excited a fury of indignation. He was summoned before

the parliament in December 1654 and imprisoned. The dissolution of that

body again set him at liberty for a short time, but he was presently

brought up for some expressions used by him in a discussion with John

Griffin, an illiterate Baptist pastor, who invoked the law against his

superior opponent. He was put upon trial, and was only rescued by

Cromwell, who sent him (October 1655) out of the way to one of the Scilly

Islands, allowed him 100 crowns a year, and in 1658, on the solicitation

of many friends, released him. For a few years he lived and taught

quietly in the country, but returning to London he was in June 1662 again

arrested, and fined L100. As he was unable to pay this sum, he was at

once committed to prison, where fever, caused by the pestilential

atmosphere, carried him off on the 22nd of September 1662.

BIDDLE, NICHOLAS (1786-1844), American financier, was born in

Philadelphia on the 8th of January 1786. He was the nephew of a naval

officer, Captain Nicholas Biddle (1750-1778), who lost his life while

fighting on the American side, during the War of American Independence.

After almost finishing the prescribed course at the university of

Pennsylvania, the boy went to Princeton, where he graduated with high

honours in 1801. During 1804-1807 he was the secretary, first of John

Armstrong, minister to France, and then of James Monroe, minister to

Great Britain. After his return to America he practised law for several

years in Philadelphia, was an associate editor of Dennie's _Portfolio_,

to which he contributed both prose and verse, and, with much literary

skill, prepared for the press from the explorers' own journals a

_History of the Expedition under the Command of Captains Lewis and

Clark_ (1814). He was a prominent member of the Pennsylvania House of

Representatives in 1810-1811 and of the Senate in 1814-1817, and in 1819

became, by President Monroe's appointment, one of the five government

directors of the Bank of the United States. In 1823 he replaced Langdon

Cheves as its president. In general he followed a conservative policy

and showed marked ability in the management of the bank, but during

President Andrew Jackson's warfare upon that institution, his character

and his policy were violently assailed by the president and his

followers. The bank's national charter lapsed in 1836, but it was

immediately chartered by Pennsylvania as the "Bank of the United States,

of Pennsylvania"; and Biddle remained president until 1839, two years

before the bank failed. As president of the board of trustees appointed

for the purpose, he took a prominent part in the establishment of Girard

College, in accordance with the will of Stephen Girard (q.v.). He died

in Philadelphia on the 27th of February 1844.

His son, CHARLES JOHN BIDDLE (1819-1873), served in the Mexican War as a

captain of infantry, earning the brevet of major at Chapultepec;

practised law in Philadelphia; was a representative in Congress in

1861-1863; was long editor-in-chief of the Philadelphia _Age_; and

published "The Case of Major Andre, with a Review of the Statement of

it in Lord Mahon's History of England," in the _Memoirs of the

Historical Society of Pennsylvania_ (1858).

The best account of Nicholas Biddle's administration of the bank may

be found in an excellent work, by Ralph C.H. Catterall, _The Second

Bank of the United States_ (Chicago, 1903).

BIDEFORD, a seaport, market town and municipal borough in the Barnstaple

parliamentary division of Devonshire, England, 81/4 m. S.W. of Barnstaple.

Pop. (1901) 8754. It is served by the London & South-Western and the

Bideford, Westward Ho & Appledore railways. It is picturesquely situated

on two hills rising from the banks of the river Torridge, 3 m. above its

junction with the estuary of the Taw. Many of the houses are built with

timber framework in Elizabethan style, and the two parts of the town are

united by a bridge of 24 arches, originally erected in the 14th century,

when the revenue of certain lands was set apart for its upkeep. The

church of St Mary, with the exception of the tower, is a modern

reconstruction. A stone chancel screen and a Norman font are also

preserved. Industries include the manufacture of earthenware, leather

goods, sails, ropes and linen, and ironfounding. The small harbour has

about 17 ft. of water at high tide, but is dry at low tide. Anthracite

and a coarse potter's clay are found near the town. The borough is under

a mayor, 4 aldermen and 12 councillors. Area, 3398 acres.

Encyclopaedia Britannica, 11th Edition, "Bible" to "Bisectrix" Volume 3, Slice 7 · 第 42 / 78 题