A Treatise On Analytical Statics : With Numerous Examples
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In our eReader you can find the full English version of the book. Read A Treatise On Analytical Statics : With Numerous Examples Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book A Treatise On Analytical Statics : With Numerous Examples
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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.
What to read after A Treatise On Analytical Statics : With Numerous Examples?
You can find similar books in the "Read Also" column, or choose other free books by Edward John Routh to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
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.
What to read after A Treatise On Analytical Statics : With Numerous Examples?
You can find similar books in the "Read Also" column, or choose other free books by Edward John Routh to read onlineMoreLess
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