| Pierce Morton - Geometry - 1830 - 272 pages
...said to be right, when oblique 127 When said to be regular (its axis) 127 (a) Triangular prisms, which **have two sides and the included angle of the one equal to two sides and the included angle** of the other, are equal to one another . . . 138 (i) If the upper part of a triangular prism be cut... | |
| Robert Mudie - Mathematics - 1836 - 496 pages
...included between them, are given, there are sufficient data for constructing the triangle ; and if **two triangles have two sides and the included angle...the one equal to two sides and the included angle** of the other — it being understood that it is not the sum of the sides which is equal, hut that each... | |
| Robert Mudie - Mathematics - 1836 - 496 pages
...given, there are sufficient data for constructing the triangle ; 416 CONSTRUCTION OF TRIANGLE?. and if **two triangles have two sides and the included angle...the one equal to two sides and the included angle** of the other — it being understood that it is not the sum of the sides which is equal, but that each... | |
| Eugenius Nulty - Geometry - 1836 - 220 pages
...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... | |
| Adrien Marie Legendre - Geometry - 1838 - 359 pages
...four right angles, as by the successive angles ACB, BCD, DCE, ECF, FCA. B PROPOSITION V. THEOREM. If **two triangles have two sides and the included angle...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... | |
| Samuel Simon Schmucker - Psychology - 1842 - 227 pages
...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...the one equal to two sides and the included angle** of the other, they must be identical or equal in all respects. For it virtually consists in supposing... | |
| George Roberts Perkins - Geometry - 1847 - 308 pages
...parts, by the line CD, making the angle ACD equal to the angle BCD. Then the two triangles ADC and BDC **have two sides and the included angle of the one equal to** the two sides and the included angle of the other, namely, the side AC equal to BC, the angle ACD equal... | |
| Charles William Hackley - Geometry - 1847 - 103 pages
...to the second. PROP. IX. Two spherical triangles are either identical or symmetrical, 1°. When they **have two sides and the included angle of the one equal to** the same in the other ; 2°. When they have a side and two adjacent angles ; 3°. When they have three... | |
| Charles Davies, Sir David Brewster, Adrien Marie Legendre - Trigonometry - 1849 - 359 pages
...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...two sides and the included angle of the other, each** tc each, the two triangles will be equal Let the side ED be equal to the side BA, the side DF to the... | |
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