An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids (1849)
Smith, Augustus William, 1802-1866 · New York, Harper · leaf 44
triangles ECe, EDc? are simi-lar ; and EC : DE=Ee : T)d..-. R^E^P^Drf;or R1(CH-EL)=P3.(DK-EL), 20 STATICS. or (R1-P3).EL=R1.CH-P3.DK, or Ra.EL=P1.AF+PaBGP3.DK, or R.-y=P,y,+P,ya-Psys> and so on for any other forces acting in directions opposite toP, and P2. 3°. When the point of application of… … H \G P1.CA=Pa.CB. By sim. triangles, P1.Ca=P2.B&; or P1(AF-CH)=Pa(CH+GB)> or (P1+P2).CH=P1.AF-P2.BG, or R.^P.y.-P.y: .*. The general formulae (a), (b), (c) will apply to all cases,by giving the proper signs to the forces and to the co-ordinatesof their points of application. These formulae…
Mechanics, Analytic
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