Elements of geometry and trigonometry. Revised and adapted to the course of mathematical instruction in the United States (1856)
Legendre, A. M. (Adrien Marie), 1752-1833, Davies, Charles, 1798-1876 · New York : A.S. Barnes · leaf 151
emade less than any given surface. PEOPOSITION XI. PROBLEM. The surface of a regular inscrihed polygon^ and that of a sim-ilar circumscribed polygon^ being given ; to find the surfacesof the regular inscrihed and circumscrihed polygons havingdouble the number of sides. Let AB be a side of the given… … scribed polj^gon, having twice the number of sides; andAP + PM=2PM or Pft will be a side of the similar cir-cumscribed polygon (p. 7, c. 3). Now, as the same construc-tion will take place at eachangle corresponding to ACM^It will be sufficient to considerACM by itself; for the trian-gles connected…
Geometry · Trigonometry
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