 DE'F, and consequently symmetrical with DEF. PROPOSITION XIII.—THEOREM. 55. Two triangles on the same sphere are either equal or symmetrical, when a side and two adjacent angles of one are equal respectively to a side and two adjacent angles of the...  An Examination Manual in Plane Geometry - Page 118by George Albert Wentworth, George Anthony Hill - 1896 - 138 pagesFull view - About this book
 | Peter Nicholson - Architecture - 1823 - 210 pages
...the other two angles must also coincide ; that is, they must be equal to each other. THEOREM 6. 64. Two triangles are equal when a side and two adjacent angles of the one are respectively equal to a side and two adjacent angles of the other. Let the side BC be equal... | |
 | Peter Nicholson - Cabinetwork - 1856 - 518 pages
...the other two angles must also coincide ; that is, they must be equal to each other. THEOREM 6. 54. Two triangles are equal when a side and two adjacent angles of the one are respectively equal to a side and two adjacent angles of the other. Let the side BC be equal... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...THEOREM. 74. Two triangles on the same sphere are either equal or symmetrical, when a side and the two adjacent angles of one are equal respectively to a, side and the two adjacent angles of the other. For, one of the triangles may be applied to the other, or to... | |
 | Harvard University - 1874 - 668 pages
...altitudes. 7. If two spherical triangles on the same sphere have a side and two adjacent angles of the one equal respectively to a side and two adjacent angles of the other, the two triangles are equal, or else they are symmetrical. Explain symmetry. Show that two symmetrical... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...XXIV. THEOREM. 107. Two triangles are equal in all respects when a side and two adjacent angles of the one are equal respectively to a side and two adjacent angles of the other. ^B A" In the triangles ABC and A' B' C', let AB = A' B', We are to prove AA BC = A A' B' C'. Take up... | |
 | William Chauvenet - Geometry - 1877 - 396 pages
...THEOREM. 74. Two triangles on the same sphere are either equal or symmetrical, when a side and the two adjacent angles of one are equal respectively to a, side and the two adjacent angles of the other. For, one of the triangles may be applied to the other, or to... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...spheres, are either equal, or symmetrical and equivalent, if a side and two adjacent angles of the one be equal respectively to a side and two adjacent angles of the other. For one of the A may be applied to the other, or to its symmetrical Д, as in the corresponding case... | |
 | George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...XXIV. THEOREM. 107. Two triangles are equal in all respects when a side and two adjacent angles of the one are equal respectively to a side and two adjacent angles of the other. С С' In the triangles ABC and A' B' C", let AB = A' B', ¿A = ¿A',¿B = ¿B'. We are to prove Д... | |
 | Electronic journals - 1902 - 232 pages
...space, 1. Two triangles are congruent if a side and two adjacent angles of one are respectively equal to a side and two adjacent angles of the other. 2. The exterior angle of a triangle is greater than either opposite interior angle. 3. If two sides of a triangle... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...PROPOSITION XIII.—THEOREM. 55. Two triangles on the same sphere are either equal or symmetrical, when a side and two adjacent angles of one are equal...respectively to a side and two adjacent angles of the other. Let the triangles ABC and DEF have the side a equal to the side d, and the angles B, C, equal respectively... | |
| |
