An introduction to projective geometry and its applications; an analytic and synthetic treatment (1905)
Emch, Arnold, b. 1871 · New York, J. Wiley & sons; London, Chapman & Hall, limited · leaf 98
four spheres in space with the centersC15 C2, C3, C4, and designating the external and internal centersof similitude respectively by Eik, /#. for the spheres with thecenters C\- and Ck, then we find that all external centers of similitudelie in a plane. To prove this, remark that there are six… … Fig. 35. of similitude of three spheres are always coplanar; and since fourgroups of three out of four spheres may be formed, four morequadrilaterals of points of similitude may be formed. Thetwelve points of similitude are distributed three by three on six-teen axes of similitude. Of the latter,…
Geometry, Projective · Geometry, Analytic
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