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Elements of geometry and trigonometry (1886)

Davies, Charles, 1798-1876 · New York and Chicago, A. S. Barnes and company · leaf 109

An illustration from Elements of geometry and trigonometry, 1886, leaf 109
103 GEOMETRY. Area of Circle. equal triangles as the polygon hassides, in each of which the perpen-dicular on the base will be equal toCD. Now, the area of one of them,as A CB, will be equal to half the pro-duct of CD by the base AB; and thesame will be true for each of the othertriangles : hence,… … THEOREM XXVII. Tlie area of a circle is equal to half the product of the radius bythe circumference. Let C be the centre of a circle :then will its area be equal to half theproduct of the radius A C by the cir-cumference ABE. For, inscribe within the circle aregular hexagon, and draw CD…

Geometry · Plane trigonometry

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