FIG. 3.--Silbermann's Heliostat.]

Many forms of heliostats have been devised, the earliest having been

described by Wilhelm Jacob s' Gravesande in the 3rd edition of his

_Physices elementa_ (1742). One of the simplest consists of a plane

mirror rigidly connected with a revolving axis so that the angle

between the normal to the mirror and the axis of the instrument equals

half the sun's polar distance, the mirror being adjusted so that the

normal has the same right ascension as the sun. It is easily seen that

if the mirror be rotated at the same angular velocity as the sun the

right ascensions will remain equal throughout the day, and therefore

this device reflects the rays in the direction of the earth's axis; a

second fixed mirror reflects them in any other fixed direction.

Foucault's heliostat reflects the rays horizontally in any required

direction. The principle of the apparatus may be explained by

reference to fig. 1. The axis of rotation AB bears a rigidly attached

rod DBC inclined to it at an angle equal to the sun's polar distance.

By adjusting the right ascension of the plane ABC and rotating the

axis with the angular velocity of the sun, it follows that BC will be

the direction of the solar rays throughout the day. X is the mirror

rotating about the point E, and placed so that (if EB is the

horizontal direction in which the rays are to be reflected) (1) the

normal CE to the mirror is jointed to BC at C and is equal in length

to BE, (2) the rod DBC passes through a slot in a rod ED fixed to, and

in the plane of, the mirror. Since CE equals BE these directions are

equally inclined to, and coplanar with, the normal to the mirror.

Hence light incident along the direction BC will be reflected along

CE. Silbermann's heliostat reflects the rays in any direction. The

principle may be explained by means of fig. 2. AB is the axis of

rotation, BC an adjustable rod as in Foucault's construction, and BD

is another rod which can be set to the direction in which the rays are

to be reflected. The rods BC and DB carry two small rods EF, GF

jointed at F; at this joint there is a pin which slides in a slot on

the rod BH, which is normal to the mirror X. The rods EF, GF are such

that BEFG is a rhombus. It is easy to show that rays falling on the

mirror in the direction BC will be reflected along BD. One

construction of the instrument, described in Jamin's _Cours de

physique_, is shown in fig. 3. The mirror mm is attached to the

framework _pafe_, the members of which are parallel to the incident

and reflected rays SO, OR, and the diagonal pf is perpendicular to the

mirror. The framework is attached to two independent circular arcs Cs

and rr' having their centres at O and provided with clamps D and A on

the axis F of the instrument. The arc Cs is graduated, and is set so

that the angle COD equals the complement of the sun's declination.

This can be effected (after setting the axis) by rotating Cs until a

needle indicates true time on the hour dial B. The arc rr' is set so

as to reflect the rays in the required direction. The axis F of the

instrument is set at an angle equal to the latitude of the place of

observation and in the meridian by means of the screw K, and rotated

by clockwork contained in the barrel H. The setting in the meridian is

effected by turning the instrument after setting for latitude until a

pin-hole aperture s and a small screen P, placed so that Ps is

parallel to CO, are in a line with the sun.

Many other forms of heliostats have been designed, the chief

difference consisting in the mechanical devices for maintaining the

constant direction of the reflecting ray. One of the most important

applications of the heliostat is as an adjunct to the newer forms of

horizontal telescopes (q.v.) and in conjunction with spectroscopic

telescopes in observations of eclipses.

HELIOTROPE, or TURNSOLE, _Heliotropium_ (Gr. [Greek: heliotropion], i.e.

a plant which follows the sun with its flowers or leaves, or, according

to Theophrastus (_Hist, plant_, vii. 15), which flowers at the summer

solstice), a genus of usually more or less hairy herbs or undershrubs of

the tribe _Heliotropieae_ of the natural order Boraginaceae, having

alternate, rarely almost opposite leaves; small white, lilac or blue

flowers, in terminal or lateral one-sided simple or once or twice forked

spikes, with a calyx of five deeply divided segments, a salver-shaped,

hypogynous, 5-lobed corolla, and entire 4-celled ovary; fruit 2- to

4-sulcate or lobed, at length separable into four 1-seeded nutlets or

into two hard 2-celled carpels. The genus contains 220 species

indigenous in the temperate and warmer parts of both hemispheres. A few

species are natives of Europe, as _H. europaeum_, which is also a

naturalized species in the southern parts of North America.

[Illustration: _Heliotropium suaveolens._]

The common heliotrope of English hothouses, _H. peruvianum_, popularly

known as "cherry-pie," is on account of the delicious odour of its

flowers a great favourite with florists. It was introduced into Europe

by the younger Jussieu, who sent seed of it from Peru to the royal

garden at Paris. About the year 1757 it was grown in England by Philip

Miller from seed obtained from St Germains. _H. corymbosum_ (also a

native of Peru), which was grown in Hammersmith nurseries as early as

1812, has larger but less fragant flowers than _H. peruvianum_. The

species commonly grown in Russian gardens is _H. suaveolens_, which has

white, highly fragrant flowers.

Heliotropes may be propagated either from seed, or, as commonly, by

means of cuttings of young growths taken an inch or two in length.

Cuttings when sufficiently ripened, are struck in spring or during the

summer months; when rooted they should be potted singly into small pots,

using as a compost fibry loam, sandy peat and well-decomposed stable

manure from an old hotbed. The plants soon require to be shifted into a

pot a size larger. To secure early-flowering plants, cuttings should be

struck in August, potted off before winter sets in, and kept in a warm

greenhouse. In the spring larger pots should be given, and the plants

shortened back to make them bushy. They require frequent shiftings

during the summer, to induce them to bloom freely.

The heliotrope makes an elegant standard. The plants must in this case

be allowed to send up a central shoot, and all the side growths must be

pinched off until the necessary height is reached, when the shoot must

be stopped and lateral growths will be produced to form the head. During

winter they should be kept somewhat dry, and in spring the ball of soil

should be reduced and the plants repotted, the shoots being slightly

pruned, so as to maintain a symmetrical head. When they are planted out

against the walls and pillars of the greenhouse or conservatory an

abundance of highly perfumed blossoms will be supplied all the year

round. From the end of May till October heliotropes are excellent for

massing in beds in the open air by themselves or with other plants. Many

florists' varieties of the common heliotrope are known in cultivation.

Pliny (_Nat. hist._ xxii. 29) distinguishes two kinds of "heliotropium,"

the _tricoccum_, and a somewhat taller plant, the _helioscopium_; the

former, it has been supposed, is _Croton tinctorium_, and the latter the

[Greek: heliotropion mikron] of Dioscorides or _Heliotropium europaeum_.

The helioscopium, according to Pliny, was variously employed in

medicine; thus the juice of the leaves with salt served for the removal

of warts, whence the term _herba verrucaria_ applied to the plant. What,

from the perfume of its flowers, is sometimes called winter heliotrope,

is the fragrant butterbur, or sweet-scented coltsfoot, _Petasites_

(_Tussilago_) _fragrans_, a perennial Composite plant.

HELIOTROPE, in mineralogy, is the mineral commonly called "bloodstone"

(q.v.), and sometimes termed girasol--a name applied also to fire-opal.

The name, like those of many ancient names of minerals, seems to have

had a fanciful origin. According to Pliny the stone was so called

because when thrown into the water it turned the sun's light falling

upon it into a reflection like that of blood.

HELIOZOA, in zoology, a group of the Sarcodina (q.v.) so named by E.

Haeckel, 1866. They are characterized by the radiate pseudopods, finely

tapering at the apex, springing abruptly from the superficial

protoplasm, containing a denser, rather permanent axial rod (figs. 1

(1), 2 (2)); protoplasm without a clear ectoplasm or pellicle, often

frothy with large vacuoles, like the alveoli of Radiolaria; nucleus 1 or

numerous; skeleton absent, gelatinous or of separate siliceous fibres,

plates or spicules, rarely complete and latticed; reproduction by simple

fission or by brood-formation, often syngamous; form usually nearly

spherical, rarely changing slowly. This group was formerly included with

the Rhizopoda; but was separated from it by Haeckel on account of the

character of its pseudopods, and its general adaptation to a semipelagic

existence correlated with the frothy cytoplasm (fig. 1 (1)).

_Actinophrys sol_ and _Actinosphaerium eichhornii_ (fig. 2), known as

sun animalcules to the older microscopists, float freely in stagnant or

slow-flowing waters, and _Myriophrys_ is able by an investment of long

flagelliform cilia to swim freely. The majority, however, lurk among

confervae or the light debris of the bottom ooze; and come under the

head of "sapropelic" rather than pelagic organisms. The body is usually

of constant spherical form in relation to the floating habit.

_Nuclearia_, however, shows amoeboid changes of general outline. The

pseudopods are retractile, the axial filament being absorbed as the

filament grows shorter and thicker and disappearing when the pseudopod

merges into the ectoplasm, to be reformed at the same time with the

pseudopod. There is often a distinction, clear, but never sharp, between

the richly vacuolate, almost frothy ectoplasm and the denser endoplasm.

One or more contractile vacuoles may protrude from the ectoplasm. The

endoplasm contains the nucleus or nuclei. The nucleus when single may be

central or excentric: in the latter case, the endoplasm contains a clear

central sphere ("centrosome") on which abut the axial filaments of the

pseudopods. The ectoplasm contains, in some species, constantly

(_Raphidiophrys viridis_) or occasionally (_Actinosphaerium_), green

cells belonging to the genera _Zoochlorella_ and _Sphaerocystis_, both

probably--the latter certainly--vegetative stages of a Chlamydomonad

(FLAGELLATA, q.v.) and of symbiotic significance.

[Illustration: FIG. 1.--Heliozoa. 1. _Actinophrys sol_, Ehrb. a,

food-particle lying in a large food-vacuole; b, deep-lying finely

granular protoplasm; c, axial filament of a pseudopodium extended

inwards to the nucleus; d, the central nucleus; e, contractile vacuole;

f, superficial much vacuolated protoplasm. 2. _Clathrulina elegans_,

Cienk. 3. _Heterophrys marina_, H. and L. a, nucleus; b, clearer

protoplasm surrounding the nucleus; c, the peculiar felted envelope. 4.

_Raphidiophrys pallida_, F. E. Schultze. a, food-particle; b,

contractile vacuole; c, the nucleus; d, central granule in which all the

axis-filaments of the pseudopodia meet. The tangentially disposed

spicules are seen arranged in masses on the surface. 5. _Acanthocystis

turfacea_, Carter. a, probably the central nucleus; b, clear protoplasm

around the nucleus; c, more superficial protoplasm with vacuoles and

chlorophyll corpuscles; d, coarser siliceous spicules; e, finer forked

siliceous spicules; f, finely granular layer of protoplasm. The long

pseudopodia reaching beyond the spicules are not lettered. 6.

Bi-flagellate "flagellula" of _Acanthocystis aculeata_. a, nucleus. 7.

Id. of _Clathrulina elegans_. a, nucleus; b, granules. 8. _Astrodisculus

ruber_, Greeff. a, red-coloured central sphere (? nucleus); b,

peripheral homogeneous envelope.]

The Heliozoa can move by rolling over on their extended pseudopods;

_Acanthocystis ludibunda_ traversing a path of as much as twenty times

its diameter in a minute, according to Penard. Several species (e.g.

_Raphidiophrys elegans_) remain associated by the union of their

pseudopods, whether into social aggregates (due to approximation) or

"colonies" due to lack of separation after fission, is not accurately

known. The multinuclear species _Actinosphaerium eichhornii_ (fig. 2),

normally apocytial (i.e. the nuclei divide repeatedly without division

of the cytoplasm), may increase in size by the fusion ("plastogamic")

of small individuals. If a large specimen be cut up or fragment itself

under irritation, the small ones so produced soon approach one another

and fuse completely.

[Illustration: FIG. 2.--Heliozoa. 1. _Actinosphaerium eichhornii_, Ehr.;

a, nuclei; b, deeper protoplasm with smaller vacuoles and numerous

nuclei; c, contractile vacuoles; d, peripheral protoplasm with larger

vacuoles. 2. A portion of the same specimen more highly magnified and

seen in optical section. a, Nuclei; b, deeper protoplasm (so-called

endosarc); d, peripheral protoplasm (so-called ectosarc); e, pseudopodia

showing the granular protoplasm streaming over the stiff axial filament:

f, food-particle in a good-vacuole. 3, 4. Nuclei of _Actinosphaerium_ in

the resting condition. 5-13. Successive stages in the division of a

nucleus of _Actinosphaerium_, showing fibrillation, and in 7 and 8

formation of an equatorial plate of chromatin substance (after Hertwig).

14. Cyst-phase of _Actinosphaerium eichhornii_, showing the protoplasm

divided into twelve chlamydospores, each of which has a siliceous coat;

a, nucleus of the spore; g, gelatinous wall of the cyst; h, siliceous

coat of the spore.]

_Reproduction._--Binary fission has been repeatedly observed; in some

cases one or both of the daughter cells may swim for a time as a

biflagellate zoospore (fig. 1 (6, 7)). The process may take place when

the cell is naked or after preliminary encystment. Budding has been

well studied in _Acanthocystis_; the cell nucleus divides repeatedly

and most of the daughter nuclei pass to the periphery, aggregate part

of the cytoplasm, and with it are constricted off as independent

cells; one nucleus remains central and the process may be repeated.

The detached bud may assume the typical character after a short

amoeboid (lobose) stage, sometimes preceded by rest, or it may develop

2 flagella and swim off (fig. 1 (6)).

Brood formation is only known here in relation to a syngamic process;

this is a sharp contrast to Proteomyxa (q.v.) where brood formation is

the commonest mode of reproduction, and plasmodium-formation, rare

indeed, is the nearest approach to syngamy observed. Indeed, if we

knew the life-history of all the species this difference in the life

cycle would be a convenient critical character.

Equal conjugation was demonstrated fully by F. Schaudinn in

_Actinophrys_; two individuals approach and enter into close contact,

and are surrounded by a common cyst wall. The nucleus of either male

divides; and one nucleus passes to the surface at either side, and is

budded off with a small portion of the cytoplasm as an abortive cell;

the two remaining nuclei which are "first cousins" in cellular

relationship now fuse, as is the case with the cytoplasts. The

resulting coupled cell or zygote divides into two, which again encyst.

_Actinosphaerium_ (fig. 2) shows a still more remarkable process,

fully studied by R. Hertwig. The large multinucleate animal withdraws

its pseudopods, its vacuoles disappear, it encysts and its nuclei

diminish in number to about 1/20th partly by fusion, 2 and 2, probably

by digestion of the majority. Within the primary cyst the body is now

resolved into nuclear cells, which again surround themselves with

secondary cysts. The cell in each secondary cyst divides (by

karyokinesis), and these sister cells, or rather their offspring, pair

in much the same way as the individual cells of _Actinophrys_--the

chief difference is that after the first division and budding off of a

rudimentary cell, a second division of the same character takes place,

with the formation of a second rudimentary cell, which is the niece of

the first, absolutely in the same way as the 1st and 2nd polar bodies

are formed in the maturation of the ovum in Metazoa. The actual

pairing cells are thus second cousins, great-granddaughters of the

original cell of the secondary cysts. Complete fusion now takes place

to form the coupled cell, which is now contracted and forms a

gelatinous wall within the siliceous secondary cyst wall (fig. 2

(14)), During a resting stage nuclear divisions occur and finally a

brood of young 1-nuclear _Actinosphaerium_ leave the cyst.

_Classification._

Aphrothoraca. Body naked. Actinophrys Ehrb. (fig. 1 (1)) (nucleate),

Actinosphaerium Stein plurinucleate (fig. 2 (1)), Camptonema

(plurinucleate) Schaud., Dimorpha Gruber (sometimes 2 flagellate).

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