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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 261

An illustration from An introduction to projective geometry and its applications; an analytic and synthetic treatment, 1905, leaf 261
—(a-—Z)^)^>o, and, for the case that thestraight line shall not cut the circle of inversion r< h\^a^~ P. Ex. I. Show that when M, P, and A are in a straight line,AP±SQ. Ex. 2. If the whole linkage is in a vertical plane and OMvertical, the linkage remains in equilibrium under the action ofany… … Fig. 105. we can locate for every point P sl point Q, so that OP■ OQ^a^— P.Applying another cell, A,B.QPO,, for which 0,Q ■ 0,F=a,- b,\ APPLICATIONS IN MECHANICS. 249 and letting O^ coincide with O, and Q with Q, Fig. 105, thenO^Q = 0Q J and by division OP a^-b^OP ~ a,- 6,2- Hence, when P describes…

Geometry, Projective · Geometry, Analytic

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