| Education Ministry of - 1882 - 292 pages
...questions to be answered. 1. Prom a given point draw a straight line equal to a given straight line. 2. **If two triangles have two sides of one equal to two sides of the** other, each to each, and likewise their bases equal, the two triangles shall bo equal in every respect.... | |
| George Bruce Halsted - Geometry - 1885 - 389 pages
...triangle symmetrical to the first to be greater than the third side of the second triangle, and therefore **the third side of the first greater than the third side of the second.** 690. From 688 and 689, by 33, Rule of Inversion, if two spherical triangles have two sides of the one... | |
| Webster Wells - Geometry - 1886 - 392 pages
...PROPOSITION XXIV. THEOREM. 87. CONVERSELY, if two triangles have two sides of one equal respectively **to two sides of the other, but the third side of the first greater than the third side of the second,** the included angle of the first is greater than the included angle of the second. D B In the triangles... | |
| George Bruce Halsted - Geometry - 1886 - 394 pages
...triangle symmetrical to the first to be greater than the third side of the second triangle, and therefore **the third side of the first greater than the third side of the second.** 690. From 688 and 689, by 33, Rule of Inversion, if two spherical triangles have two sides of the one... | |
| Richard Anthony Proctor - Geometry - 1887 - 202 pages
...form a separate proposition — of which we shall presently have occasion to make use. PROP. II. — **If two triangles have two sides of one equal to two sides of the** other, each to each, and the angles opposite one pair of equal sides equal ; then, if G the angles... | |
| George Albert Wentworth - Geometry - 1888 - 264 pages
...triangle are equal respectively to two sides of another, but the third side of the first triangle is **greater than the third side of the second, then the angle opposite the third side of the first** triangle is greater than the angle opposite the third side of the second. C D In the triangles ABC... | |
| Benjamin Franklin Finkel - Mathematics - 1888 - 518 pages
...of distance or direction). Also define: equal, greater, limit of a variable, length of a curve. 2. **If two triangles have two sides of one equal to two sides of the** other, and the included angles of the first greater than that of the second, prove that the third side... | |
| Edward Albert Bowser - Geometry - 1890 - 418 pages
...Proposition 3O. Theorem. 120. Conversely, if two triangles have two sides of the one equal respectively **to two sides of the other, but the third side of the first** triangle greater than the third side of the second, then the included angle of the first triangle is... | |
| William Benjamin Smith - Geometry, Modern - 1892 - 170 pages
...the A CBM and DBM axe congruent (why?) ; hence AM '+ MZ? 'C'. Hence Theorem XXVI. — Two A having **two sides of one equal to two sides of the other, but the** included angles unequal, have also the third sides unequal, the greater side lying opposite the greater... | |
| William Benjamin Smith - Geometry, Modern - 1892 - 314 pages
...axe congruent (why?) ; hence AM "+ (why?), m&AOAD, OY AC>A'C'. Hence Theorem XXVI. — Two A having **two sides of one equal to two sides of the other, but the** included angles unequal, have also the third sides unequal, the greater side lying opposite the greater... | |
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