 | Adrien Marie Legendre - Geometry - 1819 - 574 pages
...correspond to the three given things ,J, B, p, there would be as many different triangles, which would have a side and the two adjacent angles of the one...to a side and the two adjacent angles of the other, which is impossible ; therefore the angle C must be a determinate function of the three quantities... | |
 | Adrien Marie Legendre - Geometry - 1825 - 276 pages
...the parallels EG, FH, being alternate-internal angles, are equal. The two triangles then EFG, FGH, have a side and the two adjacent angles of the one...the two adjacent angles of the other, each to each; these two triangles are therefore equal (38) ; and the side EG, which measures the distance of the... | |
 | Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...correspond to the three given things A, B, p, there would be as many different triangles, which would have a side and the two adjacent angles of the one...to a side and the two adjacent angles of the other, which is impossible ; therefore the angle C must be a determinate function of the three quantities... | |
 | Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 pages
...correspond to the three given things A, B, p, there would be as many different triangles, which would have a side and the two adjacent angles of the one...to a side and the two adjacent angles of the other, which is impossible ; therefore the angle C must be a determinate function of the three quantities... | |
 | Adrien Marie Legendre - 1825 - 570 pages
...there would be as many different triangles, which would have a side and the two adjacent angles of Ihc one equal to a side and the two adjacent angles of the other, which is impossible ; therefore the angle C must be a determinate function of the three quantities... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...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, the side DF to the side AC, and the angle D to the angle A... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...triangles are in every respect equal, when a side and the two adjacent angles of the one are respectively equal to a side and the two adjacent angles of the other. If, therefore, p be a side of a triangle, and A and B the adjacent angles, the third angle C is determined... | |
 | Benjamin Peirce - Geometry - 1837 - 216 pages
...same sphere, or on equal spheres, have-a side, and the two adjacent angles of the one respectively equal to a side and the two adjacent angles of the other, they are equal, or else they are symmetrical. Demonstration. If the two triangles ABC, DEF (fig. 183)... | |
 | Adrien Marie Legendre - Geometry - 1841 - 288 pages
...AGII. Whence the triangles ABC, AHG, have a side and the two adjacent angles of the one respectively equal to a side and the two adjacent angles of the other ; consequently they are equal. But the triangle DEFis equal in all its parts to the triangle AHG; therefore... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...triangles are in every respect equal, when a side and the two adjacent angles of the one are respectively equal to a side and the two adjacent angles of the other. If, therefore, p be a side of a triangle, and A and B the adjacent angles, the third angle C is determined... | |
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FGH, have a side and the two adjacent angles of the one equal to a side and the two adjacent angles of the other, each to each ; therefore these triangles are equal (Prop. 
