 | Adrien Marie Legendre - 1819 - 574 էջ
...on equal spheres, are eqttal in all their parts, when two sides and the indudtd angle of the one are equal to two sides and the included angle of the other, each to each. ig. 230. Demonstration. Let the side AB = EF (Jig. 230), the side AC = EG, and the angle BAG = PEG,... | |
 | Adrien Marie Legendre, John Farrar - 1825 - 280 էջ
...BCD, &c. THEOREM. 36. Two triangles are, equal, when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. 6 Demonstration. In the two triangles ABC, DEF (Jig. 23), let Fig.23_ the angle A be equal to the angle... | |
 | Adrien Marie Legendre, John Farrar - 1825 - 294 էջ
...on tqual spheres, are equal in all their parts, when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. Fig. 230. Demonstration. Let the side AB = EF (fig. 230), the side AC = EG, and the angle BAG = PEG,... | |
 | Adrien Marie Legendre - 1825 - 570 էջ
...BCD, &c. THEOREM. 36. Two triangles are equal, when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. Demonstration. In the two triangles ABC, DEF (jig. 23), let Fi g .23_ the angle A be equal to the angle... | |
 | Pierce Morton - 1830 - 300 էջ
...rr»prcts. (a) Anyone of the angles of a triangle is less than two right angles cor. 5 (6) Triangles which have two sides and the included angle of the one equal...and the included angle of the other, each to each, are equal in all respects . . .5 (r) Triangles which have two angles and the interjacent side of the... | |
 | Pierce Morton - 1830 - 584 էջ
...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... | |
 | Adrien Marie Legendre - 1836 - 394 էջ
...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...other, each to each-, the two triangles will be equal. Let the side ED be equal to the side BA, the side DF to the side AC, and the angle D to the angle A;... | |
 | Eugenius Nulty - 1836 - 242 էջ
...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 - 1839 - 372 էջ
...right angles: therefore, the sum of the four is equal to four right angles. PROPOSITION V. THEOREM. If two triangles have two sides and the included angle...other, each to each, the two triangles will be equal. Let the side ED be equal to the side BA, the side DF to the side AC, and the angle D to the angle A;... | |
 | Charles Davies - 1840 - 262 էջ
...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, ABC and DBF, having AC-DP,... | |
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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, each to each, the two triangles will be equal in 
