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Unformatted text preview: The details 1. The two atomic t riangles Plato notes (54a1) that there is only one kind of isosceles right t riangle--namely, the 45°/45°/90° t riangle--whereas there are “infinitely many” kinds of scalene. But of these, he tells us, “we posit one as the most excellent” (54a7), one “whose longer side squared is always triple its shorter side” (54b5-6). Plato describes the same scalene t riangle, equivalently, as “one whose hypotenuse is twice the length of its shorter side” (54d6-7). (The angles of this t riangle are thus 30°/60°/90°.) I’ll call the 30°/60°/90° t riangles “ a t riangles” and the 45°/45°/90° t riangles “ b t riangles.” a t riangle (scalene, 30°/60°/90°) b t riangle (isosceles, 45°/45°/90°) 2. Construction of “faces” of particles out of the atomic t riangles o Each face is either an equilateral triangle ( t ) or a square ( s )....
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- Spring '09
- Atom, Chemical element, 1 W, Platonic solid, 1W, Classical element