A Treatise On Analytical Statics : With Numerous Examples
The book A Treatise On Analytical Statics : With Numerous Examples was written by author Edward John Routh Here you can read free online of A Treatise On Analytical Statics : With Numerous Examples book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is A Treatise On Analytical Statics : With Numerous Examples a good or bad book?
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The top of a right cone, semivertical angle a, cut off by a plane making an angle /3 with the axis, is placed on a perfectly rough inclined plane with the major axis of the base along a line of greatest slope of the plane ; in this position the cone is on the point of toppling over : prove that the tangent of the inclination of the plane to the horizon has one of the values = =r^ • cos 2a - cos 2/3 [Math. Tripos, 1876.] 392. Faces and edges of a tetrahedron. Ex. 1. The centre of gravity of the ...four faces of a tetrahedron is the centre of the sphere inscribed in a tetrahedron whose corners are the centres of gravity of the faces of the original tetrahedron. If we take any face as the plane of xy, we find a symmetrical expression for Jp-2, where p is the perpendicular from the opposite corner oh the plane of xy. Ex. 2. If H be the centre of gravity of the faces of a tetrahedron, G the centre of gravity of the volume, I the centre of the inscribed sphere, then H, G, I are in one straight line and HG is equal to one third of GI.
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