 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. B' ADC A' D' C' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove = — • A A'B'C'...  Solid Geometry - Page 446by John Charles Stone, James Franklin Millis - 1916 - 174 pagesFull view - About this book
 | Mathematics - 1898 - 228 pages
...latter are 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 a rectangle with... | |
 | Yale University - 1898 - 212 pages
...latter are 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 a rectangle with... | |
 | James Howard Gore - Geometry - 1898 - 232 pages
...BEFand. FEC, 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 that ——-... | |
 | George Albert Wentworth - Geometry - 1898 - 266 pages
...the polygon. n PROPOSITION VII. THEOREM. 374. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as tlie products of the sides including the equal angles. Let the triangles ABC and ADE have the common... | |
 | William Chauvenet - Geometry - 1898 - 376 pages
...similitude of the triangles. PROPOSITION VIII.—THEOREM. 22. Two triangles having an angle of the one equal to an angle of the other are to each other as tlie products of the sides including the equal angles. Two triangles which have an angle of the one... | |
 | Frederick Newton Willson - Geometry, Descriptive - 1898 - 322 pages
...element of the surface. (b) Two tetrahedrons which 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 the equal trihedral angles. - Illustrating descr,ptive or positional properties: (u)... | |
 | Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...B' C' = 36, what is the area of ABC? 268. PROPOSITION XI. Fig. Given: AS ABC and A. B' C' any 2 AS having an angle of one equal to an angle of the other. To Compare—ABC and A B' C'. Sug. Compare ABC and A B' C. Compare A B' C and A B' C'. Express these... | |
 | 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... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...triangles compare with the ratio of the products of the sides that include their equal angles? Theorem, Two triangles having an angle of one equal to an angle...each other as the products of the sides including tl1e equal angles. Data: Any two triangles, as ABC and DEC, having the common angle C. To prove Proof.... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...another one of the given squares, and so on. Proposition 175. Problem. Proposition 176. Theorem. 212. Two triangles having an angle of one equal to an angle...each other as the products of the sides including the equal angles. Hypothesis. In the A ABC and DEF, A ABC ABxAC Conclusion. A DEF DE x DF Proof. On... | |
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