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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.
Summary. “I postulate the following: 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. If, when weights at certain distances are in equilibrium, something be added to one of the weights, they are not in equilibrium ...
Archimedes, On the Equilibria of Planes: Introduction and Propositions 1-5 with the notes of Eutocius (pp. 264.1-270.11) translated by Henry Mendell (Cal. State U., L.A.)
In Archimedes: His works. 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….
By the postulates of Archimedes, we get that this is in equilibrium. Note that: (∗) w ·d = w·d. Using further postulates of Archimedes, the two weights w,won either side of a fulcrum and of distances d,d(respectively) to the fulcrum are in equilibrium if and only if (*) holds. This is his Law-of-the-lever.
It is part of our habitual bodily-based perception to have narrowed down the possible disturbers of equilibrium to variations in either weight or length (Mach 1960: 15).18 The conditions for equilibrium reinforce one another through their shared symmetry: if symmetry clearly obtains among the weights and lengths for equal weights at equal lengths, then the symmetry is known instinctively by us ...
2 de jun. de 2019 · On the Equilibrium of Planes | Wikipedia audio article - YouTube. wikipedia tts. 3.93K subscribers. Subscribed. 0. 123 views 4 years ago. This is an audio version of the Wikipedia Article:...
