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 73
:: AO : BO, that is to say, C is the external centreof similitude of the two circles whose centres are A and B. In the second case, making a similar construction, we findthe angle PQX = QPX = APQ = AQP ; therefore, BQ and AQare parallel, and (calling C the point where the line PQ meetsAB) AC : CB… … 62 CENTRES OF SIMILITUDE. It is to be observed that in all cases the points of contact aresuch as we have called inversely corresponding (see Prop. 3°).66. The following applications will serve to illustrate theimportance of the properties just proved:— 1°. It is required to draw a right line…
Geometry -- Problems, exercises, etc · Geometry
Internet Archive · Gerstein Library, University of Toronto · Public Domain Mark 1.0. Free to use for anything.
