 | 1888 - 462 strani
...We have seen that Aristaeus wrote a work on the comparison of the five regular solids, and that it contained the theorem : The same circle circumscribes...icosahedron, these solids being inscribed in the same sphere (e). If we examine the proof of this theorem as given by Hypsicles, we see that it depends on the following... | |
 | George Johnston Allman - 1889 - 266 strani
...We have seen that Aristaeus wrote a work on the comparison of the five regular solids, and that it contained the theorem : The same circle circumscribes...icosahedron, these solids being inscribed in the same sphere (e). If we examine the proof of this theorem as given by Hypsicles, we see that it depends on the following... | |
 | Alva Walker Stamper - 1909 - 214 strani
...According to Hypsicles,4 a book on "The Comparison of the Five Regular Solids," was written by Aristteus. This contained the theorem, "The same circle circumscribes...science was not 1 Gow, p. 159 (ref. Diog. L., ix, 7, 47) 2Ibid., p. 183. 8Ibid., p. 134. 4 Allman, p. 198. yet established. The school of Plato also studied... | |
 | 562 strani
...AF. Bff = (area o'f pentagon). Proof of theorem. This being clear, let the circle be set out which circumscribes the pentagon of the dodecahedron and the triangle of the icosahedron inscribed in the same sphere. Let ABC be the circle, and AB, AC two sides of the pentagon ; join BC.... | |
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The Comparison of the Five Regular Solids," was written by Aristaaus. This contained the theorem, "The same circle circumscribes the pentagon of the dodecahedron and the triangle of the icosahedron, these solids being inscribed in the same sphere. 