| Adrien Marie Legendre - Geometry - 1819 - 576 pages
...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 AB = EF (Jig. 23O), the side AC = EG, and the angle BAC = FEG, the... | |
| Adrien Marie Legendre - Geometry - 1825 - 276 pages
...-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 ABC, DEF (fig. 23), let Fig. 23. the angle A be equal to the angle... | |
| Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...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 AB = EF (fig. 230), the side AC = EG, and the angle BAC = PEG,... | |
| Pierce Morton - Geometry - 1830 - 586 pages
...less than two right angles cor. 5 (A) Triangles which have two sides and the included angle of the one **equal to two sides, and the included angle of the other, each to each,** are equal in all respects . . .5 (c) Triangles which have two angles and the interjacent side of the... | |
| Mathematics - 1835 - 684 pages
...than two right angles cor. 5 (б) Triangles which have two sides and the included angle of the one **equal to two sides, and the included angle of the other, each to each,** are equal in all respects . . .5 (r) Triangles which have two angles and the interjacent side of the... | |
| Adrien Marie Legendre - Geometry - 1836 - 382 pages
...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\- . JJ AC =EG, and the angle BAC=FEG ; then will the two triangles... | |
| Adrien Marie Legendre - Geometry - 1838 - 372 pages
...ECF, FCA. B PROPOSITION V. THEOREM. If two triangles have two sides and the included angle of the one, **equal to two sides and the included angle of the other, each to** eac/i, the two triangles will be equal. Let the side ED be equal to the side BA, the side DF to the... | |
| Charles Davies - Geometrical drawing - 1840 - 264 pages
...VI. PROPERTIES OF THE TRIANGLE. 1. If two triangles have two sides, and an included angle of the one, **equal to two sides and the included angle of the other, each to each,** the remaining parts will also be equal. That is, if we have the two triangles, .ABC and DEF, having... | |
| Adrien Marie Legendre - Geometry - 1841 - 288 pages
...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 ABC, DEF (fig. 23), Fig. 23 let the angle A be equal to the angle... | |
| Charles Waterhouse - Arithmetic - 1842 - 178 pages
...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 opposite to the equal sides are equal. 3. Of the two sides... | |
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