ARCHIMEDES

By JOHN TIMBS, F.S.A.

(287-212 B.C.)

[Illustration: A boat. [TN]]

It is scarcely possible to view the vast steamships of our day without

reflecting that to a great master of mechanics, upward of two thousand

years since, we in part owe the invention of the machine by which these

mighty vessels are propelled upon the wide world of waters. This power

is an application of "the Screw of Archimedes," the most celebrated of

the Greek geometricians. He was born in Sicily, in the Corinthian colony

of Syracuse, in the year 287 B.C., and when a very young man, was

fortunate enough to enjoy the patronage of his relative Hiero, the

reigning prince of Syracuse.

The ancients attribute to Archimedes more than forty mechanical

inventions--among which are the endless screw; the combination of

pulleys; an hydraulic organ, according to Tertullian; a machine called

the HELIX, or screw, for launching ships; and a machine called

_loculus_, which appears to have consisted of forty pieces, by the

putting together of which various objects could be framed, and which

were used by boys as a sort of artificial memory.

Archimedes is said to have obtained the friendship and confidence of

Hiero by the following incident. The king had delivered a certain weight

of gold to a workman, to be made into a crown. When the crown was made

and sent to the king, a suspicion arose in the royal mind that the gold

had been adulterated by the alloy of a baser metal, and he applied to

Archimedes for his assistance in detecting the imposture; the difficulty

was to measure the bulk of the crown without melting it into a regular

figure; for silver being, weight for weight, of greater bulk than gold,

any alloy of the former in place of an equal weight of the latter would

necessarily increase the bulk of the crown; and at that time there was

no known means of testing the purity of metal. Archimedes, after many

unsuccessful attempts, was about to abandon the subject altogether, when

the following circumstance suggested to his discerning and prepared mind

a train of thought which led to the solution of the difficulty. Stepping

into his bath one day, as was his custom, his mind doubtless fixed on

the object of his research, he chanced to observe that, the bath being

full, a quantity of water of the same bulk as his body must flow over

before he could immerse himself. He probably perceived that any other

body of the same bulk would have raised the water equally; but that

another body of the same weight, but less bulky, would not have produced

so great an effect. In the words of Vitruvius, "as soon as he had hit

upon this method of detection, he did not wait a moment, but jumped

joyfully out of the bath, and running forthwith toward his own house,

called out with a loud voice that he had found what he sought. For as he

ran he called out, in Greek, 'Eureka! Eureka!--I have found it! I have

found it!'" When his emotion had sobered down, he proceeded to

investigate the subject calmly. He procured two masses of metal, each of

equal weight with the crown--one of gold and the other of silver--and

having filled a vessel very accurately with water, he plunged into it

the silver, and marked the exact quantity of water that overflowed. He

then treated the gold in the same manner, and observed that a less

quantity of water overflowed than before. He next plunged the crown into

the same vessel full of water, and observed that it displaced more of

the fluid than the gold had done, and less than the silver; by which he

inferred that the crown was neither pure gold nor pure silver, but a

mixture of both. Hiero was so gratified with this result as to declare

that from that moment he could never refuse to believe anything

Archimedes told him.

Travelling in Egypt, and observing the necessity of raising the water of

the Nile to points which the river did not reach, as well as the

difficulty of clearing the land from the periodical overflowings of the

Nile, Archimedes invented for this purpose the screw which bears his

name. It was likewise used as a pump to clear water from the holds of

vessels; and the name of Archimedes was held in great veneration by

seamen on this account. The screw may be briefly described as a long

spiral with its lower extremity immersed in the water, which, rising

along the channels by the revolution of the machine on its axis, is

discharged at the upper extremity. When applied to the propulsion of

steam-vessels the screw is horizontal; and being put in motion by a

steam-engine, drives the water backward, when its reaction, or return,

propels the vessel.

The mechanical ingenuity of Archimedes was next displayed in the various

machines which he constructed for the defence of Syracuse during a three

years' siege by the Romans. Among these inventions were catapults for

throwing arrows, and ballistae for throwing masses of stone; and iron

hands or hooks attached to chains, thrown to catch the prows of the

enemy's vessels, and then overturn them. He is likewise stated to have

set their vessels on fire by burning-glasses; this, however, rests upon

modern authority, and Archimedes is rather believed to have set the

ships on fire by machines for throwing lighted materials.

[Illustration: Death of Archimedes.]

After the storming of Syracuse, Archimedes was killed by a Roman

soldier, who did not know who he was. The soldier inquired, but the

philosopher, being intent upon a problem, begged that his diagram might

not be disturbed; upon which the soldier put him to death. At his own

request, expressed during his life, a sphere inscribed in a cylinder was

sculptured on his tomb, in memory of his discovery that the solid

contents of a sphere is exactly two-thirds of that of the circumscribing

cylinder; and by this means the memorial was afterward identified. One

hundred and fifty years after the death of Archimedes, when Cicero was

residing in Sicily, he paid homage to his forgotten tomb. "During my

quaestorship," says this illustrious Roman, "I diligently sought to

discover the sepulchre of Archimedes, which the Syracusans had

totally neglected, and suffered to be grown over with thorns and briars.

Recollecting some verses, said to be inscribed on the tomb, which

mentioned that on the top was placed a sphere with a cylinder, I looked

round me upon every object at the Agragentine Gate, the common

receptacle of the dead. At last I observed a little column which just

rose above the thorns, upon which was placed the figure of a sphere and

cylinder. This, said I to the Syracusan nobles who were with me, this

must, I think, be what I am seeking. Several persons were immediately

employed to clear away the weeds and lay open the spot. As soon as a

passage was opened, we drew near, and found on the opposite base the

inscription, with nearly half the latter part of the verses worn away.

Thus would this most famous, and formerly most learned, city of Greece

have remained a stranger to the tomb of one of its most ingenious

citizens, had it not been discovered by a man of Arpinum."

To Archimedes is attributed the apophthegm: "Give me a lever long

enough, and a prop strong enough, and with my own weight I will move the

world." This arose from his knowledge of the possible effects of

machinery; but however it might astonish a Greek of his day, it would

now be admitted to be as theoretically possible as it is practically

impossible. Archimedes would have required to move with the velocity of

a cannon-ball for millions of ages to alter the position of the earth by

the smallest part of an inch. In mathematical truth, however, the feat

is performed by every man who leaps from the ground; for he kicks the

world away when he rises, and attracts it again when he falls back.

Under the superintendence of Archimedes was also built the renowned

galley for Hiero. It was constructed to half its height, by three

hundred master workmen and their servants, in six months. Hiero then

directed that the vessel should be perfected afloat; but how to get the

vast pile into the water the builders knew not, till Archimedes invented

his engine called the helix, by which, with the assistance of very few

hands he drew the ship into the sea, where it was completed in six

months. The ship consumed wood enough to build sixty large galleys; it

had twenty tiers of bars and three decks; the middle deck had on each

side fifteen dining apartments besides other chambers, luxuriously

furnished, and floors paved with mosaics of the story of the "Iliad." On

the upper deck were gardens with arbors of ivy and vines; and here was a

temple of Venus, paved with agates, and roofed with Cyprus-wood; it was

richly adorned with pictures and statues, and furnished with couches and

drinking-vessels. Adjoining was an apartment of box-wood, with a clock

in the ceiling, in imitation of the great dial of Syracuse; and here was

a huge bath set with gems called Tauromenites. There were also on each

side of this deck, cabins for the marine soldiers, and twenty stables

for horses; in the forecastle was a fresh-water cistern which held 253

hogsheads; and near it was a large tank of sea-water, in which fish were

kept. From the ship's sides projected ovens, kitchens, mills, and other

offices, built upon beams, each supported by a carved image nine feet

high. Around the deck were eight wooden towers, from each of which was

raised a breastwork full of loopholes, whence an enemy might be annoyed

with stones each tower being guarded by four armed soldiers and two

archers. On this upper deck was also placed the machine invented by

Archimedes to fling stones of 300 pounds weight and darts eighteen feet

long, to the distance of 120 paces; while each of the three masts had

two engines for throwing stones. The ship was furnished with four

anchors of wood and eight of iron; and "the water-screw" of Archimedes,

already mentioned, was used instead of a pump for the vast ship; "by the

help of which one man might easily and speedily drain out the water,

though it were very deep." The whole ship's company consisted of an

immense multitude, there being in the forecastle alone 600 seamen. There

were placed on board her 60,000 bushels of corn, 10,000 barrels of salt

fish, and 20,000 barrels of flesh, besides the provisions for her

company. She was first called the Syracuse, but afterward the

Alexandria. The builder was Archias, the Corinthian shipwright. The

vessel appears to have been armed for war and sumptuously fitted for a

pleasure-yacht, yet was ultimately used to carry corn. The timber for

the main mast, after being in vain sought for in Italy, was brought from

England. The dimensions are not recorded, but they must have exceeded

those of any ship of the present day; indeed, Hiero, finding that none

of the surrounding harbors sufficed to receive his vast ship, loaded it

with corn and presented the vessel with its cargo to Ptolemy, King of

Egypt, and on arriving at Alexandria it was hauled ashore, and nothing

more is recorded respecting it. A most elaborate description of this

vast ship has been preserved to us by Athenaeus, and translated into

English by Burchett, in his "Naval Transactions."

Archimedes has been styled the Homer of geometry; yet it must not be

concealed that he fell into the prevailing error of the ancient

philosophers--that geometry was degraded by being employed to produce

anything useful. "It was with difficulty," says Lord Macaulay, "that he

was induced to stoop from speculation to practice. He was half ashamed

of those inventions which were the wonder of hostile nations, and always

spoke of them slightingly, as mere amusements, as trifles in which a

mathematician might be suffered to relax his mind after intense

application to the higher parts of his science."

Great Men and Famous Women. Vol. 3 A series of pen and pencil sketches of the lives of more than 200 of the most prominent personages in History · 第 32 / 73 题