| Adrien Marie Legendre - Geometry - 1836 - 394 pages
...on equal spheres, are equal in all their parts, when two angles and the included side of the one are equal to two angles and the included side of the other, each to each. . For, one of these triangles, or the triangle symmetrical with it, may be placed on the other, as... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...DFE. Therefore, if two triangles, dec. PROPOSITION XIV. THEOREM. If two triangles on equal spheres have two angles, and the included side of the one,...and the included side of the other, each to each, their third angles will be equal, and their other sides will be equal, each to each. B'e EDF, the angle... | |
| Charles Davies - Trigonometry - 1849 - 372 pages
...(ne(jUnl spheres, ate iqual in all their parts, when two angles and the included side of the one are equal to two angles and the included side of the other, each to each. For, one of these triangles, or the triangle symmetrical with it, may be placed on the other, as is... | |
| Charles Davies - Geometry - 1850 - 218 pages
...other, the equal parts will coincide. THEOREM V. If two triangles have two angles and the included sids of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal. Let the two triangles ABC and DEF have the angle A equal to the angle D, the angle B... | |
| Charles Davies - Geometry - 1850 - 238 pages
...the equal parts will coincide. T^ THEOREM V. If two triangles have two angles and the included sids of the one, equal to two angles and the included side of the other, each to tach, the two triangles will be equal. Let the two triangles ABC and DEF have the angle A equal to... | |
| Charles Davies - Geometry - 1886 - 340 pages
...the equal parts will coincideTHEOREM VIf two triangles have two angles and the included side of tne one, equal to two angles and the included side of the other, each to fach, the two triangles will be equalLet the two triangles ABC and DEF have the angle A equal to the... | |
| Adrien Marie Legendre - Geometry - 1852 - 436 pages
...equal spheres, are equal in all their parts, when two angles and the included side of the .one are equal to two angles and the included side of the other, each to each. For, one of these triangles, or the triangle symmetrical with it, may be placed on the other, as is... | |
| Charles Davies - Geometry - 1854 - 436 pages
...on equal spheres, are equal in all their parts, when two angles and the included side of the one are equal to two angles and the included side of the other, each to each. For, one of these triangles, or the triangle symmetrical with it, may be placed on the other, as is... | |
| Charles Davies - Geometry - 1855 - 340 pages
...to each, are equal : for if applied the one to the other, the equal parts will coincideTHEOREM VIf two triangles have two angles and the included side...side of the other, each to each, the two triangles will be equalLet the two triangles ABC and DEF have the angle A equal to the angle D, the angle B equal... | |
| Charles Davies, William Guy Peck - Electronic book - 1855 - 592 pages
...this manner, many of the fundamental principles of Geometry have been proved : thus, it is proved, that if two triangles have two angles and the included...and the included side of the other, each to each, they will be equal. It is also proved, by the method of application, that the diameter of a circle... | |
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