Principles of modern geometry, with numerious applications to plane and spherical figures; and an appendix, containing questions for exercise. Intended chiefly for the use of junior students (1862)
Mulcahy, John, 1810?-1853 · Dublin Hodges, Smith · leaf 67
triangles) that CQ : FP :: FP : CQ; therefore,CQ-CQ - FP* - constant. In like manner the rectangle DS • DS (see fig.) = = FT2 =constant. It is evident that the constant quantity is the samewhichever of the points F, F is taken. 3°. Since PF is equal to the tangent to the circle from P, AP* - PF2 ==… … THE RADICAL CENTRE. 57 In a similar manner we shall have 2AF • DS = FD2. 61. The preceding properties may easily be exhibited in a diffe-rent form. The last, for instance, gives a locus of some importance. Given a point (F or F), and a right line OP in position (seelast figure), required the locus…
Geometry -- Problems, exercises, etc · Geometry
Internet Archive · Gerstein Library, University of Toronto · Public Domain Mark 1.0. Free to use for anything.
