 | Elias Loomis - Conic sections - 1857 - 242 pages
...the whole triangle DEF, and will be equal to it B and the remaining angles of the one, will coincide with the remaining angles of the other, and be equal...ACB to the angle DFE. Therefore, if two triangles, &c. +. PROPOSITION VII. THEOREM. If two triangles have two angles, and the included side of the one,... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...will be equal to ; and the remaining angles of the one, will coincide with the remaining angles ol" the other, and be equal to them, viz. : the angle...ACB to the angle DFE. Therefore, if two triangles, &c. PROPOSITION VII. THEOREM. If two triangles have two angles, and the included side of the one, equal... | |
 | Elias Loomis - Conic sections - 1860 - 246 pages
...the whole triangle DEF, and will be equal to it B and the remaining angles of the one, will coincide with the remaining angles of the other, and be equal...the angle ABC to the angle DEF, and the angle ACB to tfte angle DFE. Therefore, if two triaii 0 ^s, &c. PROPOSITION VII. THEOREM. 11 If two triangles have... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...also the remaining angles of one triangle coincide with the remaining angles of the other, and are equal to them, viz. the angle ABC to the angle DEF, and the angle A CB to DFE. Therefore, if two triangles have two sides of the one equal to two sides, &c. Which was... | |
 | Euclides - 1860 - 288 pages
...with the whole triangle DEF, and be equal to it ; and the remaining angles of the one shall coincide with the remaining angles of the other, and be equal to them ; namely, the angle ABC to the angle DEF, and the angle ACB to the angle DFE. COR.— If the equal... | |
 | Euclides - 1862 - 140 pages
...triangle DEF. 3. And the other angles to which the equal sides are opposite, shall be equal, each to each, viz. the angle ABC to the angle DEF, and the angle ACB to the angle DFE. Demonstration. — 1. For if the triangle ABC be applied to (or placed upon) the triangle DEF, 2. So... | |
 | Euclides - 1862 - 172 pages
...triangle DEF, and the other angleB to which the equal sides are opposite, shall be equal, each to each, viz. the angle ABC to the angle DEF, and the angle ACB to DFS. DEMONSTRATION For, if the triangle ABC be applied to the triangle DEF, so that the point A may... | |
 | Euclides - 1864 - 448 pages
...also the remaining angles of one triangle coincide with the remaining angles of the other, and are equal to them, viz. the angle ABC to the angle DEF, and the angle A CB to DFE. Therefore, if two triangles have two sides of the one equal to two sides, &c. Which was... | |
 | Euclides - 1864 - 262 pages
...also the remaining angles of one triangle coincide with the remaining angles of the other, and are equal to them, viz. the angle ABC to the angle DEF, and the angle A CB to DFE. Therefore, if two triangles have two sides of the one equal to two sides, &c. Which was... | |
 | Robert Potts - 1865 - 528 pages
...also the remaining angles of one triangle coincide with the remaining angles of the other, and are equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, if two triangles have two sidesof the one equal to two sides, &c. Which was to be demonstrated.... | |
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DEF, and be equal to it ; and the other angles of the one shall coincide with the remaining angles of the other and be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. 
