| 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 - 468 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 - 343 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>ŁA'; then is BC> B'C. If the parts are... | |
| George Albert Wentworth - 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 żABO ż ABE. We are to prove A С > A E.... | |
| George Albert Wentworth - Geometry, Plane - 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 - 630 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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