| Robert Mudie - 1836 - 524 sider
...angle included between them, are given, there are sufficient data for constructing the triangle ; and if two triangles have two sides and the included angle of the one equal to two sides and the included angle of the other — it being understood that it is not the sum of... | |
| Adrien Marie Legendre - 1836 - 394 sider
...the four right angles, as by the successive angles ACB, BCD, DCE, ECF, FCA. 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 each, the two triangles will be equal. Let... | |
| Robert Mudie - 1836 - 542 sider
...given, there are sufficient data for constructing the triangle ; 416 CONSTRUCTION OF TRIANGLE?. and if two triangles have two sides and the included angle of the one equal to two sides and the included angle of the other — it being understood that it is not the sum of... | |
| Eugenius Nulty - 1836 - 242 sider
...conditions which determine such equality are comprised in the four following theorems. THEOREM VI. 38. If two triangles have two sides, and the included angle of the one respectively equal to two sides and the included angle of the other, the remaining sides and angles... | |
| Samuel Simon Schmucker - 1842 - 262 sider
...the nature, eg, of the demonstration of the theorem of Euclid known as Prop. IV. of Book I., viz. : If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, they must be identical or equal in all respects.... | |
| Nicholas Tillinghast - 1844 - 110 sider
...are equal. Draw the chords AB, DE ; then since radii are all equal (Def. 4), the triangles ACB, DCE, have two sides and the included angle of the one,...equal respectively to two sides and the included angle of the other, hence they are equal ; so that if ACB be applied to DCE, there will be an exact coincidence... | |
| Charles Davies - 1849 - 372 sider
...the four right angles, as by the successive angles ACB, BCD, DCE, ECF. FCA. 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 tc each, the two triangles will be equal Let... | |
| Elias Loomis - 1849 - 252 sider
...formed at the point of intersection, are together equal to four right angles. PROPOSITION VI. 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 each, the two triangles will be equal, their... | |
| Charles Davies - 1850 - 218 sider
...(Ax. 3). In the same manner we may prove that the angle AED is equal to the angle CEB. THEOREM IV. 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 each, the two triangles will be equal. Let... | |
| Charles Davies - 1850 - 238 sider
...(Ax. 3). In the same manner we may prove that the angle AED is equal to the angle CEB. \ THEOREM IV. 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 each, the two triangles will be equal. Let... | |
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