Дата рождения: 287 до н.э.
Дата смерти: 212 до н.э.
Архиме́д — древнегреческий математик, физик и инженер из Сиракуз. Сделал множество открытий в геометрии. Заложил основы механики, гидростатики, был автором ряда важных изобретений.
Book 1, Proposition 10.
„Two magnitudes whether commensurable or incommensurable, balance at distances reciprocally proportional to the magnitudes.“
Book 1, Propositions 6 & 7, The Law of the Lever.
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;
„First then I will set out the very first theorem which became known to me by means of mechanics, namely that
Any segment of a section of a right angled cone (i. e., a parabola) is four-thirds of the triangle which has the same base and equal height,
and after this I will give each of the other theorems investigated by the same method. Then at the end of the book I will give the geometrical [proofs of the propositions]...“
Proposition presumed from previous work.