 Assuming that the areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles...  Elements of Geometry - Page 309by George Washington Hull - 1897 - 398 pagesFull view - About this book
 | William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...product of its right section by one third the sum of its lateral edges. PROPOSITION XX. THEOREM 665. Tetrahedrons having a trihedral angle of one equal...other are to each other as the products of the edges about the equal trihedral angles. T "-<. \ ^^* AD Given two tetrahedrons T-ABC and T'-DEF, with equal... | |
 | Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 230 pages
...Brahmagupta, a noted Hindoo writer born about 598 AD PROPOSITION XIV. THEOREM 810. Two triangular pyramids, having a trihedral angle of one equal to a trihedral...each other as the products of the edges including equal trihedral angles. Given triangular pyramids O-ACD and Q-FGM with trihedral Z. O = trihedral Z.... | |
 | George Clinton Shutts - Geometry - 1912 - 392 pages
...cubic feet? If its specific gravity is 7$ what does it weigh in tons! PROPOSITION XXIII. 594. THEOREM. Two tetrahedrons having a trihedral angle of one equal to a trihedral angle of the other have the same ratio as the products of the three edges including the equal trihedral angles. Given... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...circles. Ex. 1125. Assuming that the areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles, prove that the bisector of an angle of a triangle divides the opposite... | |
 | Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 222 pages
...multiplied by the radius of the inscribed circle. 498. Two triangles which have an angle of one equal to an angle of the other are to each other as the products of the sides including the equal angles. 503. Two similar triangles are to each other as the squares of any... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...to build the spire ? PROPOSITION XX. THEOREM 632. The volumes of two triangular pyramids, that have a trihedral angle of one equal to a trihedral angle...the other, are to each other as the products of the three edges of these angles. Given V and v', volumes of the triangular pyramids 0-ABC and O'-EFG, having... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 184 pages
...326 and Theorem H, ยง 144.] 328. Corollary 2. Two parallelepipeds that have a trihedral angle of the one equal to a trihedral angle of the other are to...each other as the products of the edges including the trihedral angle. 329. Similar Tetrahedrons. Two tetrahedrons (that is, triangular pyramids) are said... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...to build the spire ? PROPOSITION XX. THEOREM 632. The volumes of two triangular pyramids, that have a trihedral angle of one equal to a trihedral angle of the other, are to each other as the product of the three edges of these angles. C Given V and v', volumes of the triangular pyramids 0-ABC... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...edges. PROPOSITION II. THEOREM 714. The volumes of two tetrahedrons that have a trihedral angle of the one equal to a trihedral angle of the other are to each other as the products of the three edges of these trihedral angles. Given the two tetrahedrons B-ABC and S'-A'B'C', having the trihedral... | |
 | George C. Shutts - 1913 - 212 pages
...shingle being laid 5 inches to the weather. PROPOSITION xxni. 595. THEOREM. Tico tetrahedrons hating a trihedral angle of one equal to a trihedral angle of the other hare the name ratio as the products of the three edges including the equal trihedral angles. Given... | |
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