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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 234

An illustration from An introduction to projective geometry and its applications; an analytic and synthetic treatment, 1905, leaf 234
ar polygon, and is also the resultant APPLICATIONS IX MECHANICS. 221 of these two extreme forces, with (o) reversed. Hence, when the system is in equilibrium, the forces (o) and (0123 ri) must coincide. Hence the theorem: A funicular polygon of a system of coplanar forces in equilibriumis a closed… … Fig. 93k Fig. 93a. section of 1 and 3 in (b) draw a line parallel to o in (a); through 1 and 2 one parallel to ci in (a). These two lines intersect eachother in a point O. Now connect O with the intersection of 2 and 3. Thus three forces OA, OB, OC are obtained, andif O is assumed as a pole and…

Geometry, Projective · Geometry, Analytic

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