Zitate von Archimedes

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Archimedes

Geburtstag: 287 v.Chr
Todesdatum: 212 v.Chr

Archimedes von Syrakus war ein griechischer Mathematiker, Physiker und Ingenieur. Er gilt als einer der bedeutendsten Mathematiker der Antike. Seine Werke waren auch noch im 16. und 17. Jahrhundert bei der Entwicklung der höheren Analysis von Bedeutung.

Zitate Archimedes

„Störe meine Kreise nicht!“

— Archimedes
Nach römischer Überlieferung raunte Archimedes diese letzten Worte dem römischen Soldaten zu, der ihn bei der Eroberung von Syrakus in einem stillen Garten entdeckte und erstach. Archimedes grübelte über geometrischen Figuren, die er in den Sand gezeichnet hatte.

„Gib mir einen Punkt, wo ich hintreten kann, und ich bewege die Erde“

— Archimedes
So soll er sein Hebelgesetz veranschaulicht haben, belegt in Pappos "Synagoge", einer Sammlung mathematischer Abhandlungen

„Any segment of a right-angled conoid (i. e., a paraboloid of revolution) cut off by a plane at right angles to the axis is 1½ times the cone which has the same base and the same axis as the segment“

— Archimedes
Proprosition 4.

„The centre of gravity of a parallelogram is the point of intersection of its diagonals.“

— Archimedes
Book 1, Proposition 10.

„Two magnitudes whether commensurable or incommensurable, balance at distances reciprocally proportional to the magnitudes.“

— Archimedes
Book 1, Propositions 6 & 7, The Law of the Lever.

„I have found it! or I have got it!, commonly quoted as Eureka!“

— Archimedes
What he exclaimed as he ran naked from his bath, 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); as quoted by Vitruvius Pollio in De Architectura, ix.215;

„Those who claim to discover everything but produce no proofs of the same may be confuted as having actually pretended to discover the impossible.“

— Archimedes

„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.“

— Archimedes
Book 1, Postulate 1.

„The centre of gravity of any cone is [the point which divides its axis so that] the portion [adjacent to the vertex is] triple [of the portion adjacent to the base].“

— Archimedes
Proposition presumed from previous work.

„If two equal weights have not the same centre of gravity, the centre of gravity of both taken together is at the middle point of the line joining their centres of gravity.“

— Archimedes
Book 1, Proposition 4.

„Give me the place to stand, and I shall move the earth.“

— Archimedes
Said to be his assertion in demonstrating the principle of the lever; as quoted by Pappus of Alexandria, Synagoge, Book VIII, c. AD 340; also found in Chiliades (12th century) by John Tzetzes, II.130 http://books.google.com/books?id=dG0GAAAAQAAJ&pg=PA46. This and "Give me a place to stand, and I shall move the world" are the most commonly quoted translations. Variant translations: Give me a place to stand and with a lever I will move the whole world. This variant derives from an earlier source than Pappus: The Library of History of Diodorus Siculus, Fragments of Book XXVI http://penelope.uchicago.edu/Thayer/E/Roman/Texts/Diodorus_Siculus/26*.html, as translated by F. R. Walton, in Loeb Classical Library (1957) Vol. XI. In Doric Greek this may have originally been Πᾷ βῶ, καὶ χαριστίωνι τὰν γᾶν κινήσω πᾶσαν [Pā bō, kai kharistiōni tan gān kinēsō [variant kinasō] pāsan]. Give me a lever and a place to stand and I will move the earth. Give me a fulcrum, and I shall move the world. Give me a firm spot on which to stand, and I shall move the earth.

„Do not disturb my circles!“

— Archimedes
Original form: "noli … istum disturbare" ("Do not … disturb that (sand)") — Valerius Maximus, Memorable Doings and Sayings, Book VIII.7.ext.7 (See Chris Rorres (Courant Institute of Mathematical Sciences) – "Death of Archimedesː Sources" http://www.math.nyu.edu/~crorres/Archimedes/Death/Histories.html). This quote survives only in its Latin version or translation. In modern era, it was paraphrased as Noli turbare circulos meos and then translated to Katharevousa Greek as "μὴ μου τοὺς κύκλους τάραττε". Reportedly his last words, said to a Roman soldier who, despite being given orders not to, killed Archimedes during the conquest of Syracuse; as quoted in World Literature: An Anthology of Human Experience (1947) by Arthur Christy, p. 655.