Davies, Charles, 1798-1876 · New York and Chicago, A. S. Barnes and company · leaf 105
les. Then, by Theorem XIX, we have triangles ABC : FGN : : AJ? . FG2 ADC : FIN : : DC? : m2 ADE FIK : : DE2 : IK2 But since the polygons are similar, the ratio of the last ante-cedent to its consequent, in each of the proportions, is thesame: hence, we have (Bk. III. Th. xii).ABC+ADC+ADE :… … THEOREM XXII. If similar polygons are inscribed in circles, tlieir hmnologomSvJes, and also their perimeters, will have the s ime t ific to eachOther as the diameters of the circles in which they are inscribed Let ABODE, FGNIK,be two similar figures, in-scribed in the circles whosediameters are A L…
Geometry · Plane trigonometry
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