The book Solid Geometry, With Problems And Applications was written by author H E Herbert Ellsworth Slaught Here you can read free online of Solid Geometry, With Problems And Applications book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Solid Geometry, With Problems And Applications a good or bad book?
What reading level is Solid Geometry, With Problems And Applications book?
To quickly assess the difficulty of the text, read a short excerpt:
Theorem. The volumes of two tetrahedrons, having a trihedral angle of the one congruent to a trihedral angle of the other, are in the same ratio as the products of the edges which meet in the vertices of these angles. Given the tetrahedrons P-ABC and P'-A'&C' whose volumes are Fand V and in which Tri. Zi>=Tri. ZP'. To prove that PA ' PB ' PC Proof : Place P^-A^B^& so that Tri. Zp' coincides with Tri. Zp'. Let CM and dM^ be the altitudes of P^ABC emdP-A^B'c^ from the vertices C and c' upon the p...lane PAB. Let AN and A'N^he the altitudes of the A PAB and PA'b'. Then ^ _■ ^C3f*areaP^g _ CM PB - AN F' \ C'M^ . area PA^B' c'm' • PB^ • A^N^ (1) Now prove CM PC and ^y ^ PA &m' P& A'N^ Hence, substituting in (1), y^ PC' PB ' PA V' we have P^C' • p'b' • P'^' Give all the steps and reasons in detail. PYRAMIDS AND CONJES. 79 147. EXERCISES. 1. Show that the lateral faces of a frustum of a regular pyramid are congruent isosceles trapezoids. Hence find the area of its lateral surface in terms of the slant height and the perimeters of the bases.
You can download books for free in various formats, such as epub, pdf, azw, mobi, txt and others on book networks site. Additionally, the entire text is available for online reading through our e-reader. Our site is not responsible for the performance of third-party products (sites).
User Reviews: