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An elementary treatise on mechanics for the use of the junior classes at the university ... With a collection of examples (1863)

Parkinson, Stephen, 1823-1889 · Cambridge [Eng.] Macmillan · leaf 94

An illustration from An elementary treatise on mechanics for the use of the junior classes at the university ... With a collection of examples, 1863, leaf 94
e C.G. of A and B. g^ -4,5, andC,&c. Through A B G... g^g^... draw AJSr^, BN^...gji^, g^n^ parallel to Oz meeting the plane xOy in N^,N^...n^,n^...a,nd. through these points draw in the plane xOy the lines N^^M^, NJH^.-.n^m^, n^^... parallel to Oy meeting Ox in M^, M^... If now OM^ = xA M^N^ =… … 84 OF THK CENTRE OF GKAVITT. or if we draw lines through A^, g^ parallel to NJil^, we haveby similar triangles Ag,i Bg, = g^n^ - AN,: BN, - g,n,, whence P. {g,n, - AN^) = Q. (BN^ - g^n^};i.e. {P+Q).g,n,= P.AN,+ Q.BN, similarly introducing another particle 0, g^ being the centreof gravity of A, B,…

Mechanics

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