 | 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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... the third side of the first is greater than the third side of the second. 
