Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students (1881)
McDowell, James L · Cambridge, Deighton, Bell, and Co. · leaf 109
fore the angles ODE and OFD are equal, and in the same mannerit can be proved that the angles OED and ODF are equal; there-fore the triangles ODE and ODF are equiangular, and therefore(YI. 4) FO : OD :: OD : OE.Therefore (YI. 17) OD2 = FO . OE. q. e. d. 117. If perpendiculars he drawn from any… … 118.] AND IN MODERN GEOMETRY. 81 Let ABOD be any quadrilateral inscribed in a circle, OE, OG,OF, Off perpendiculars on its sidesfrom any point 0 on the circum-ference of the circle. Then shall OE . OF=OG . Off. Draw the other straight lines asin the Fig. Because the angles at E and G areright, the…
Geometry
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