Αποτελέσματα Αναζήτησης
On the Equilibrium of Planes (Ancient Greek: Περὶ ἐπιπέδων ἱσορροπιῶν, romanized: perí epipédōn isorropiôn) is a treatise by Archimedes in two books. The first book contains a proof of the law of the lever and culminates with propositions on the centre of gravity of the triangle and the trapezium.
When equal and similar plane figures coincide if applied to one another, their centres of gravity similarly coincide. In figures which are unequal but similar the centres of gravity will be similarly situated.
8 Ιουν 2009 · On the equilibrium of planes, books I-II. The sand-reckoner. Quadrature of the parabola. On floating bodies, books I-II. Book of lemmas. The cattle-problem [including the solution of Wurm's problem by Amthor in Zeitschrift für math. u. phys. [Hist. litt. abth.] v. 25, 1880] Introduction: I. Archimedes. II.
ON THE EQUILIBRIUM OF PLANES, BOOK II; Archimedes; Edited by Thomas L. Heath; Book: The Works of Archimedes; Online publication: 07 September 2010; Chapter DOI: https://doi.org/10.1017/CBO9780511695124.016
In this codex most of the leaves derive from a uniquely important manuscript of Archimedes, dating from the mid-tenth century. This makes the volume the most valuable surviving document for studying the thought of the greatest scientist of Antiquity and a central chapter in the history of Greek mathematics and engineering.
On the Equilibrium of Planes (or Centres of Gravity of Planes; in two books) is mainly concerned with establishing the centres of gravity of various rectilinear plane figures and segments of the parabola and the paraboloid. The first book purports to establish the “law of…
Centers of Equal-Inclinations of Planes or of Weights of Planes, 1st. 1. We postulate that equal weights from equal lengths incline equally and that equal weights from unequal lengths do not incline equally but incline towards the weight of the larger length.
