 | George Albert Wentworth - Geometry - 1898 - 462 pages
...607. The volumes of two tetrahedrons, having a trishedral angle of the one equal to a trihedral an£e of the other, are to each other as the products of the three edges of these trihedral angles. c' Let V and V denote the volumes of the two tetrahedrons S-ABC and SA'B '... | |
 | Webster Wells - Geometry - 1898 - 250 pages
...is 108, and perimeter 52. PROP. VIII. THEOREM. 321. 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. A Given Z A common to A ABC and ABC'. To Prove ABC_ = ABxAC . AB'C'... | |
 | Yale University - 1898 - 212 pages
...commensurable and incommensurable. 4. The areas of two triangles having 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. 5. Given a square the length of whose side is 6 units, construct... | |
 | Mathematics - 1898 - 228 pages
...the construction correct. 5. 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 those angles. (B) 1. The shadow cast on level ground by a church steeple is 27 meters... | |
 | James Howard Gore - Geometry - 1898 - 232 pages
...EDC. PROPOSITION VII. THEOREM. 261. The areas of two triangles having 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. . Let ABC and ADE be two triangles, having Z A common. £> To prove... | |
 | Webster Wells - Geometry - 1899 - 180 pages
...base, whose area is 64 sq. in. ? PBOP. XXI. THEOREM. 523. Two tetraedrons haviny a triedral angle of one equal to a triedral angle of the other, are to each other as the products of the edges including the equal triedral angles. 0' Given V and V the volumes of tetraedrons 0-ABC and 0-A'B'C',... | |
 | Webster Wells - Geometry - 1899 - 450 pages
...base, whose area is 54 sq. in. ? PROP. XXI. THEOREM. 523. Two tetraedrons having a triedral angle of one equal to a triedral angle of the other, are to each other as the products of the edges including the equal triedral angles. a' Given V and V the volumes of tetraedrons O-ABC and OA'B'C',... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...658. The volumes of two triangular pyramids, having 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. Let V and V denote the volumes of the two triangular pyramids S-ABC and S'-A'B'C',... | |
 | George Albert Wentworth - Geometry - 1899 - 496 pages
...PROPOSITION VII. THEOREM. 410. 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. Let the triangles ABC and ADE have the common angle A. A ABC AB X... | |
 | William James Milne - Geometry - 1899 - 398 pages
...the sides that include their equal angles ? Theorem. 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. Data: Any two triangles, as ABC and DEC, having the common angle... | |
| |
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. 
