 | 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... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...b + VFXl). PYRAMIDS. PROPOSITION XXII. THEOREM. 658. The volumes of two triangular pyramids, having a trihedral angle of the one equal to a trihedral...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... | |
 | George Albert Wentworth - Geometry - 1899 - 500 pages
...+ b + V5xl). § 656 PROPOSITION XXII. THEOREM. 658. The volumes of two triangular pyramids, having a trihedral angle of the one equal to a trihedral...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... | |
 | Webster Wells - Geometry - 1899 - 180 pages
...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',... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...multiplied by the altitude. 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. 412. The areas of two similar polygons are to each other as the squares... | |
 | William James Milne - Geometry, Modern - 1899 - 258 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 tl1e equal angles. Data: Any two triangles, as ABC and DEC, having the common angle... | |
 | Education - 1901 - 814 pages
...bases. 14 Prove that the areas of two triangles which have an angle of the one supplementary to an angle of the other are to each other as the products of the sides including the equal angles. L5 The radius of a circle is a ; show how to construct a contric... | |
 | 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... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...1(58, 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. Given ZA common to A ABC and AB'C'. To Prove ABC_=ABxAC. AB'C" AB'xAC'... | |
 | George Albert Wentworth - Geometry, Plane - 1899 - 278 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 ABX.AC... | |
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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. 
