| Charles Davies - Geometry - 1885 - 512 pages
...that the sum of AD and DC is equal to AC, we have, BD + DC < BA + AC. PROPOSITION IX. THEOREM. If two **triangles have two sides of the one equal to two sides of the** other, each to each, and the included angles unequal, the third sides are unequal ; and the greater... | |
| 1885
...touching a circle, straight line placed in a circle; and write down Euclid's postulates. 2. If two **triangles have two sides of the one equal to two sides of the** other, each to each, and have also the angles contained by those sides equal to one another, they shall... | |
| Lewis Carroll - Geometry - 1885 - 275 pages
...extraordinary Corollary ever yet propounded in a geometrical treatise. Turn to pages 30 and 3i. Th. 30. 'If two **triangles have two sides of the one equal to two sides of the** other, and the angle opposite that which is not the less of the two sides of the one equal to the corresponding... | |
| GEORGE BRUCE HALSTED - 1885
...greatest sect that can be drawn from A to BD is the supplement of AB. THEOREM XVII. 718. If two spherical **triangles have two sides of the one equal to two sides of the** other, and the angles opposite one pair of eqtial sides equal, the angles opposite the other pair are... | |
| Education - 1892
...the middle points of the sides of any triangle meet in one and the same point. 12. Prop. VI. If two **triangles have two sides of the one equal to two sides of the** other, each to each, and have likewise the angles included by these sides equal, then the triangles... | |
| Dalhousie University - 1886
...secant and its external segment. GEOMETRY. (EXHIBITIONS AXD BURSARIES.) TIME : THREE HOURS. 1. If two **triangles have two sides of the one equal to two sides of the** other and the angles included by the sides supplementary, the triangles shall be equal in area. 2.... | |
| Dalhousie University - 1887
...+ 3^16 + ^432 ; and prove, 6. Solve the following equations : 7 _6x + l 3(l-|-2a;2) ~' 7 _e= xy~60, **7. If two triangles have two sides of the one equal to two sides of the** other, each to each, but the base of the one greater than the base of the other ; the angle contained... | |
| Richard Anthony Proctor - Geometry - 1887 - 180 pages
...following proposition, which is an important one, as are also its corollaries. PKOP. I. — If two **triangles have two sides of the one equal to two sides of the** other, each to each, and the angles opposite to a pair of equal sides equal ; then if the angles opposite... | |
| E. J. Brooksmith - Mathematics - 1889
...triangle. Distinguish between equal triangles and triangles which are equal in all respects. 2. If two **triangles have two sides of the one equal to two sides of the** other, each to each, and have likewise their bases equal, the angle which is contained by the two sides... | |
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