An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids (1868)
Smith, Augustus W. (Augustus William), 1802-1866 · New York : Harper · leaf 76
le point ofthe side; as glt g2, g3. Let xlyl be the co-ordinates of A referred to the origin O,x2y2 B, x3y3 « • » C. Then the co-ordinates of gz are ^(x^+x^, \(V 1+2/2) g2 » \{x2+x~3),\{y2+y3),g3 « ^(x3+x,),\{y3+yi), and x, y, being the co-ordinates required, by (28), we have a(x2 +x3)+b(xl… … O L orand N M B, C respectively. DrawAD bisecting BC in D,and take AG=|AD: Gis the center of gravityof the triangle. The co-ordinates of D are ^(x2 +a;3)»i(ya+y3); and if £=ON, y=GN, be theco-ordinates of G, wehave ON=OL+f(OM-OL), GN=AL+f(DM-AL); y=yi+%{Uy2+y3)-yA=Wji+y2+y3) CONDITIONS OF…
Mechanics, Analytic
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