Elements of mechanics: for the use of colleges, academies, and high schools (1859)
Peck, William G. (William Guy), 1820-1892 · New York, A. S. Barnes & Burr · leaf 41
Fig. 13. P : Q : P :: sin OPP : sin POP : sin OPP. ( 8.) If we apply a force P equal and directly opposed to P,the forces P, Q, and P, will be inequilibrium. The angles OPP,and QOP, being opposite exte-rior and interior angles, are sup-plements of each other; hence,sin OPP = sin QOP. Theangles P… … Fig 14. COMPOSITION AND RESOLUTION OF FORCES. 39 OPR, and POQ, are interior 9, angles on the same side, and, con-sequently, supplementary; hence,sin OPR = sin POQ. We havealso R — Rr. Making these sub-stitutions in the preceding propor-tion, we have,
Mechanics
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