Legendre, A. M. (Adrien Marie), 1752-1833, Brewster, David, Sir, 1781-1868, Davies, Charles, 1798-1876 · New York, Wiley & Long · leaf 121
BOOK V. 121 they form part : but these circumferences ztve to each other astheir radii AC, DO ; hence arc AB : arc DE : : AC : DO.For a like reason, the sectors ACB, DOE are to each otheras the whole circles ; which again are as the squares of theirradii ; therefore sect. ACB : sect. DOE : : AC :… … Let ACDE be a circle whosecentre is O and radius OA : thenwill area OA = ^OA xc/rc. OA. For, inscribe in the circle anyregular polygon, and draw OFperpendicular to one of its sides.Then the area of the polygonwill be equal to -^OF, multipliedby the perimeter (Prop. IX.).Now, let the number of sides…
Trigonometry · Geometry
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