 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 - Σελίδα 94των William C. Bartol - 1893 - 95 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | Adrien Marie Legendre - 1819 - 574 σελίδες
...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 - 1825 - 280 σελίδες
...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, John Farrar - 1825 - 294 σελίδες
...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 - 1836 - 394 σελίδες
...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 - 1841 - 288 σελίδες
...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 - 1842 - 180 σελίδες
...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 - 1844 - 228 σελίδες
...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 - 1849 - 372 σελίδες
...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 - 1852 - 436 σελίδες
...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 - 1854 - 436 σελίδες
...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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