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'. The Elements of Solid Geometry - Page 94by William C. Bartol - 1893 - 95 pagesFull view - About this book
 | Adrien Marie Legendre - Geometry - 1819 - 208 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, John Farrar - Geometry - 1825 - 280 pages
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 | Adrien Marie Legendre - Geometry - 1825 - 224 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. Fig. 230. Demonstration. Let the side... | |
 | Adrien Marie Legendre - Geometry - 1836 - 359 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\-... | |
 | Adrien Marie Legendre - Geometry - 1841 - 235 pages
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 | Charles Waterhouse - Arithmetic - 1842 - 166 pages
...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... | |
 | Charles Davies - Trigonometry - 1849 - 384 pages
...PROPOSITION X. THEOREM. 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. For, the triangle EFG may be placed... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...VIII. THEOEEM. 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. Let ABC, EFG, be two triangles having... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...VIII. 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. Let ABC, EFG, be two triangles having... | |
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