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 78
avity willbe each at the middle point ofthe side; as gl9g2,g3. ° x Let xly1 be the co-ordinates of A referred to the origin O,x2y2 B, x3y3 « C. Then the co-ordinates of gA are \{x^-\-x2), iO/j+f/s)* g3 i(x3+x1),i(?/3+y1),and x, y, being the co-ordinates required, by (28), we… … O L 3Sf M B, C respectively. DrawAD bisecting BC in D,and take AG=f AD: Gis the center of gravityof the triangle. The co-ordinates of D are \{x2 +^3)>i(2/2+3/3); and if£=ON, y=GN, be the co-ordinates of G, we have ON=OL+f(OM-OL),GN=AL+f (DM-AL);or x=xx +%{UX2 +*»)—*-i} =i(xi+x2 +*3)> and…
Mechanics, Analytic
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
![An illustration from Rudiments of the art of building : represented in five sections [...] for the use of architects, builders, draghtsmen, machinists, engineers and mechanics (1853)](https://img.insideoutlibrary.com/img/200/ia-rudimentsofartof00bull-40-8.webp)
