Two triangles are equal if two sides and the included angle of the one are equal respectively to two sides and the included angle of the other (sas = sas). Hyp. In A ABC and A'B'C', AB = A'B', BC = B'C', and Z B = Z B'. Secondary-school Mathematics - Page 55by Robert Louis Short, William Harris Elson - 1910Full view - About this book
| Adrien Marie Legendre - Geometry - 1819 - 574 pages
...480. Two triangles situated on the same sphere, or on equal spheres, are equal in all their parts, when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. . 230. Demonstration. Let the side... | |
| Adrien Marie Legendre - 1825 - 570 pages
...each other, they will comprehend the same space as the successive angles, A CB, BCD, &c. THEOREM. 36. Two triangles are equal, when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. Demonstration. In the two triangles... | |
| Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 pages
...each other, they will comprehend the same space as the successive angles, ACB, BCD, &c. THEOREM. Q 36. Two triangles are equal, when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. Demonstration. In the two triangles... | |
| Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...other, they will comprehend the . same space as the successive angles, ACB, BCD, &c. THEOREM. £ 36. Two triangles are equal, when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. Demonstration. In the two triangles... | |
| Adrien Marie Legendre - Geometry - 1825 - 276 pages
...successive angles, ACB, BCD, &c. t These are often called -vertical angles. 36. Two triangles arc. equal, -when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. Demonstration. In the two triangles... | |
| Adrien Marie Legendre - Geometry - 1836 - 394 pages
...PROPOSITION X. THEOREM. Two triangles on the same sphere, or on equal spheres, are equal in all their parts, when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. Suppose the side AB=EF, the side J\-... | |
| Benjamin Peirce - Geometry - 1837 - 216 pages
...equal sides in the first case, and the equal angles in the second, are called homologous. 51. Theorem. Two triangles are equal, when two sides and the included angle of the one are respectively equal to two sides and the included angle of the other. Demonstration. In the two triangles... | |
| Adrien Marie Legendre - Geometry - 1841 - 288 pages
...space as the successive angles, ACB, BCD, &c. t These are often called vertical angles. THEOREM. 36. Two triangles are equal, when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. Demonstration. In the two triangles... | |
| Charles Waterhouse - Arithmetic - 1842 - 178 pages
...application is necessary. ^PRINCIPLES ASSUMED. The following Propositions are Demonstrably true: — 1. Two triangles are equal when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. 2. In an isosceles triangle, the angles... | |
| Charles WATERHOUSE - Arithmetic - 1844 - 228 pages
...angles of a triangle, that is the greater, which is opposite the longer aids. 6. Two triangles ore equal when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. 7. Every triangle is half of a parallelogram... | |
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