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A treatise on special or elementary geometry (1877)

Olney, Edward, 1827-1887, Olney, Edward, 1827-1887. Elements of trigonometry, plane and spherical · New York : Sheldon · leaf 344

An illustration from A treatise on special or elementary geometry, 1877, leaf 344
tin a straight line, the radical axesof O, O, and 0, 0, as PV andPV intersect. Let P be theircommon point. Now the powerof P with respect to 0 is equalto its power with respect to O,since each is equal to its powerwith respect to O. Hence P is apoint in the radical axis of O, 0. 1027. Cor.—If the… … Fig. 5-20. CENTRES OF SIMILITUDE. 1029. Def.—If the line joining the centres of two circles bedivided externally, as at c,ai^d internally, as at c,in the ratio of the radii,these points are respectivelythe External and the In-ternal Centres of Sim-ilitude of the two cir-cles. III.—If CO : CO:: EO :…

Geometry · Trigonometry

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