 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.  Essentials of Solid Geometry - Page 176by David Eugene Smith - 1924 - 238 pagesFull view - About this book
 | United States. Office of Education - 1911 - 1154 pages
...through the given line is parallel to the given line. Group II. 4. Prove that two tetrahedrons having a trihedral angle of one equal to a trihedral angle...the other, are to each other as the products of the edges including the equal trihedral angles. 5. Prove that the volume of a triangular pyramid is equal... | |
 | David Eugene Smith - Geometry - 1911 - 360 pages
...TEACHING OF GEOMETRY THEOREM. 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. This proposition may be omitted as far as its use in plane geometry... | |
 | Geometry, Plane - 1911 - 192 pages
...similar when their homologous sides are proportional. 5. Two triangles having 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. 6. Define a segment of a circle; equivalent triangles. When are two... | |
 | Hugh T. Reed - 1911 - 330 pages
...extreme and mean ratio. Theorem : The areas of two triangles which have an angle of one equal to the angle of the other are to each other as the products of the sides including those angles. Problem : Given a circle of unit diameter and the side of a regular inscribed... | |
 | William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...section by one third the sum of its lateral edges. PROPOSITION XX. THEOREM 665. Tetrahedrons having a trihedral angle of one equal to a trihedral angle...the 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... | |
 | Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 230 pages
...noted Hindoo writer born about 598 AD PROPOSITION XIV. THEOREM 810. Two triangular pyramids, having a trihedral angle of one equal to a trihedral angle...the other, are to each other as the products of the edges including equal trihedral angles. Given triangular pyramids O-ACD and Q-FGM with trihedral Z.... | |
 | 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... | |
 | George Clinton Shutts - Geometry - 1912 - 392 pages
...grayity 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, 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... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...edges. PROPOSITION II. THEOREM 714. The volumes of tivo tetrahedrons that have a trihedral angle of the one equal to a trihedral angle of the other are to...of the three edges of these trihedral angles. Given the two tetrahedrons S-ABC and S'-A'B'C', having the trihedral angles Sand S' equal, v and v' denoting... | |
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