Autres citations d'Archimède:
"Tout corps plongé dans un liquide subit une poussée verticale vers le haut égale au poids du volume de liquide déplacé." / "Eureka! Eureka! Supposed to have been his cry, jumping naked from his bath and running in the streets, excited by a discovery about water displacement to solve a problem about the purity of a gold crown." (realizing that by measuring the displacement of water an object produced, compared to its weight, he could measure its density and thus determine the proportion of gold that was used in making a king's crown)
"Un solide plus léger que le liquide dans lequel on l'abandonne s'y enfonce de telle façon qu'un volume de liquide égal à la partie immergée a le même poids que le solide entier." / "Any object completely or partially submerged in a fluid is buoyed up by a force with magnitude equal to the weight of the fluid displaced by the object." / "Any solid lighter than a fluid will, if placed in the fluid, be so far immersed that the weight of the solid will be equal to the weight of the fluid displaced."
"The shortest distance between two points is a straight line."
"Deux grandeurs commensurables ou incommensurables s'équilibrent à des distances réciproquement proportionnelles aux grandeurs."
"Donnez-moi un point d'appui, et un levier, je soulèverai la Terre." / "Give me but a firm spot on which to stand, and I shall move the earth." / "Give me a place to stand, and a lever long enough, and I will move the world."
"Le diamètre de la terre est supérieur au diamètre de la lune et le diamètre du soleil est supérieur au diamètre de la terre." / "The perimeter of the earth is about 3.000.000 stadia and not greater." / "The diameter of the earth is greater than the diameter of the moon, and the diameter of the sun is greater than the diameter of the earth. In this assumption I follow most of the earlier astronomers."
"Il y a des choses qui paraissent incroyables à la plupart des hommes qui n'ont pas étudié les mathématiques." / "There are things which seem incredible to most men who have not studied Mathematics."
"The centre of gravity of any cylinder is the point of bisection of the axis."
"Those who claim to discover everything but produce no proofs of the same may be confuted as having actually pretended to discover the impossible."
"It follows at once from the last proposition that the centre of gravity of any triangle is at the intersection of the lines drawn from any two angles to the middle points of the opposite sides respectively."
"Des poids égaux à des distances égales sont en équilibre et des poids égaux à des distances inégales ne sont pas en équilibre mais s'inclinent vers le poids qui est à la plus grande distance." / "Equal weights at equal distances are in equilibrium and equal weights at unequal distances are not in equilibrium but incline towards the weight which is at the greater distance."
"Le centre de gravité de tout parallélogramme se trouve sur la droite joignant les points médians des côtés opposés." / "The centre of gravity of any parallelogram lies on the straight line joining the middle points of opposite sides." / "The centre of gravity of a parallelogram is the point of intersection of its diagonals."
"Any sphere is (in respect of solid content) four times the cone with base equal to a great circle of the sphere and height equal to its radius." / "Any cone is one third part of the cylinder which has the same base as the cone and equal height." / "The cylinder with base equal to a great circle of the sphere and height equal to the diameter is 1 ½ times the sphere." / "The surface of a sphere is equal to four times its greatest circle."
"Many people believe that the grains of sand are infinite in multitude. Others think that although their number is not without limit, no number can ever be named which will be greater than the number of grains of sand. But I shall try to prove to you that among the numbers which I have named there are those which exceed the number of grains in a heap of sand the size not only of the earth, but even of the universe."
"I am persuaded that it [The Method of Mechanical Theorems] will be of no little service to mathematics; for I apprehend that some, either of my contemporaries or of my successors, will, by means of the method when once established, be able to discover other theorems in addition, which have not yet occurred to me."
"Les mathématiques ne révèlent leurs secrets qu'à ceux qui les abordent avec pur amour, pour leur propre beauté." / "Mathematics reveals its secrets only to those who approach it with pure love, for its own beauty." [On pense à Arthur Cayley (1821-1895): "As for everything else, so for a mathematical theory: beauty can be perceived but not explained."]
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Isaac Newton (1642-1727) est cité ici:
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Démocrite (-470/-370) est cité ici:
https://blogs.mediapart.fr/wawa/blog/070521/lorigine-de-tout-du-vide-et-des-atomes
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Euclide, (-320/-260) est cité ici:
https://blogs.mediapart.fr/wawa/blog/040123/ce-qui-est-affirme-sans-preuve-peut-etre-nie-sans-preuve
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