 | George Darley - Euclid's Elements - 1836 - 172 pages
...that is, greater than the side DF. This, &c. [See NOTE Q.] ART. 45. If two triangles have two sides of the one equal respectively to two sides of the other, but their bases unequal,—the vertical angle of that triangle which has the greater base is greater than... | |
 | George Roberts Perkins - Geometry - 1856 - 460 pages
...THEOREM XXI. If two triangles have two sides of the one respectively equal to two sides of the other, and the included angle of the first greater than the included angle of the second, the third side of the first will be greater than the third side of the second. FIRST BOOK. In the two... | |
 | George Roberts Perkins - Geometry - 1860 - 472 pages
...XXI. If two triangles have two sides of the one respectively equal to two sides of the other, and, the included, angle of the first greater than the included angle of the second, th'> third side of the first will be greater than the third side of the second. In the two triangles... | |
 | Richard Wormell - Geometry, Modern - 1868 - 286 pages
...the triangles are unequal (fig. 79). When two triangles have two sides of the one respectively equal to two sides of the other, but the included angle of the one greater than the included angle of the other, the base of that which has the greater angle is greater... | |
 | Robert Fowler Leighton - 1877 - 372 pages
...that when two triangles have two sides of the one respectively equal to two sides of the other and the included angle of the first greater than the included angle of the second, the third side of the first is greater than the third side of the second. 3. Show how to draw a tangent... | |
 | George Albert Wentworth - 1879 - 196 pages
...AB .f AC. Ex. 2. On the same sphere, or on equal spheres, if two spherical triangles have two sides of the one equal respectively to two sides of the...will be greater than the third side of the second. In the spherical A ABC and A'B'C, let AB = A'B',AC = AC,ZA>£A'; then is BC> B'C. If the parts are... | |
 | George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...equiangular triangle is also equilateral. PROPOSITION XXXI. THEOREM. 115. If two triangles have two sides of the one equal respectively to two sides of the...will be greater than the third side of the second. BB В In the А ABC and ABE, let AB = AB, BC — BЕ; but ¿ABO ¿ ABE. We are to prove A С > A E.... | |
 | George Albert Wentworth - Geometry, Modern - 1882 - 268 pages
...also equilateral. GEOMETRY. BOOK I. PROPOSITION XXXI. THEOREM. 115. If two triangles have two sides of the one equal respectively to two sides of the...the second, then the third side of the first will be (/realer than the third side of the second. EE In the А AB С and ABE, let AB = AB, B С = BE; but... | |
 | Alfred Hix Welsh - Geometry - 1883 - 326 pages
...Therefore, if two triangles have two sides of the one equal to two sides of the other, each to each, but the included angle of the first greater than the included angle of the second, the third side of the first will be greater than the third side of the second. QUERIES. 1. What is... | |
 | Public schools - 1884 - 634 pages
...equivalent to the sum of the squares on the other two sides. 7. Prove that if two triangles have two sides of the one equal respectively to two sides of the...angle of the second, then the third side of the first is greater than the third side of the second. 8. Prove that if the middle points of the three sides... | |
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... greater than the included angle of the second, then the third side of the first is greater than the third side of the second. 
