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
spheres in space with the centersCj, C2, C3, C4, and designating the external and internal centersof similitude respectively by E^-, Iik for the spheres with thecenters Ci and Ck, then we find that all external centers of similitudelie in a plane. To prove this, remark that there are six centersof… … 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 simihtude may be formed. Thetwelve points of simihtude are distributed three by three on six-teen axes of simihtude. Of the latter, four…
Geometry, Projective · Geometry, Analytic
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