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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 242

An illustration from An introduction to projective geometry and its applications; an analytic and synthetic treatment, 1905, leaf 242
llipse.1 Metric Properties of theInvolution of Stresses. 1. According to the previous section the specific stress actingon every section through a fixed point can be constructed as soonas the specific stresses acting on any two sections are known.In Fig. 100 assume these two sections, CA and CB,… … Fig. normal components A?, B2 and Aly Bv Designating the specificstresses determined by these components by ta, tb and na, nb, wehave A1 = a-na, B1 = b-nb, A2 = a-ta, B2 = b-tb. Evidently ta = tb = /,say. The resultant C of A and B can also be resolved into trans-versal and normal components T and…

Geometry, Projective · Geometry, Analytic

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