| Pierce Morton - 1830 - 584 σελίδες
...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... | |
| 1835 - 684 σελίδες
...respeits. (aj Any one of the angles of a triangle is less 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... | |
| Robert Mudie - 1836 - 542 σελίδες
...between them, arc given, there are sufficient data for constructing the triangle ; 416 CONSTRUCTION OF TRIANGLE?. and if two triangles have two sides and...that it is not the sum of the sides which is equal, but that each of the two sides of the one triangle, taken singly, is equal to one side of the other... | |
| Adrien Marie Legendre - 1836 - 394 σελίδες
...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...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,... | |
| Eugenius Nulty - 1836 - 242 σελίδες
...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... | |
| Charles Davies - 1840 - 264 σελίδες
...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 - 1842 - 262 σελίδες
...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...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... | |
| Charles William Hackley - 1847 - 248 σελίδες
...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... | |
| George Roberts Perkins - 1847 - 326 σελίδες
...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... | |
| Elias Loomis - 1849 - 252 σελίδες
...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...the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal, their third sides will be equal, and their... | |
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