| Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 pages
...proposition the hypothesis is, that two sides and the included angle of one triangle are respectively equal to two sides and the included angle of the other ; and the conclusion deduced from this hypothesis is, that the remaining side and angles in the one triangle... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...respects. (a) Anyone of the angles of a triangle is 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... | |
| Mathematics - 1835 - 684 pages
...be right, when oblique 127 Л\ hen said to be regular (its axis) 127 («) 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 (V) If the upper part of a triangular prism be cut... | |
| Adrien Marie Legendre - Geometry - 1836 - 394 pages
...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 the side ED be equal to the side BA,... | |
| Robert Mudie - Mathematics - 1836 - 524 pages
...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 the sides which is equal, hut that each... | |
| Robert Mudie - Mathematics - 1836 - 542 pages
...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 the sides which is equal, but that each... | |
| Charles Davies - Geometrical drawing - 1840 - 264 pages
...of the Triangle. SECTION 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,... | |
| Samuel Simon Schmucker - Psychology - 1842 - 240 pages
...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. For it virtually consists in supposing... | |
| George Roberts Perkins - Geometry - 1847 - 326 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 - 248 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... | |
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