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By Gerard G. Emch

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On Properties of Right-Angled Triangles. • On the Assumptions for the Elements of Geometry. 3 The Method Of all the Archimedes’s works known today, the one that has received the greatest attention is The Method. One of the few things known about this work until 1906 was its title. Between 1880 and 1881 the Danish scholar J. L. Heiberg (1854-1928), a professor of classical philology at Copenhagen University, published the complete works of Archimedes then known, in Greek and Latin, in three volumes.

One set of these figures will be used in the next experiment, while the other set of identical figures will be used in later experiments (with sewing threads attached to these figures with adhesive tape). 6 We try to balance these figures in a horizontal plane by placing them above a vertical stand, as we did with the triangle. We observe that we cannot balance any of them. 10 (a). 10: (a) The washer falls to the ground when we try to support it horizontally by placing its metal part above a vertical stand.

Once more Archimedes was the first to prove theoretically that the center of gravity of any triangle coincides with the intersection of the medians. Propositions 13 and 14 of his work On the Equilibrium of Planes read:5 Proposition 13: In any triangle the centre of gravity lies on the straight line joining any angle to the middle point of the opposite side. 4 [Arc02b, 5 [Arc02b, p. 195]. pp. 198 and 201]. 4: We can only equilibrate an horizontal triangle by supporting it through its barycenter.

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