 If two triangles have two sides of one equal, respectively, to two sides of the other...  Plane Geometry - Page 86by Webster Wells, Walter Wilson Hart - 1915 - 309 pagesFull view - About this book
 | Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...10 therefore Z (MB > Z B. Why ? 79. Corollary 1. If two triangles have tivo sides of the one equal to two sides of the other, but the third side of the...greater than the third side of the second, then the included angle of the first is greater than the included angle of the second. [HINT. Prove by reduction... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 378 pages
...Ax. 10 therefore Z CMB > ZR Why ? 79. Corollary 1. If two triangles have two sides of the one equal to two sides of the other, but the third side of the...greater than the third side of the second, then the included angle of the first is greater than the included angle of the second. [HINT. Prove by reduction... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...PB>AY. Ax. 9 .'. AB>AY. Ax. 11 PROPOSITION XXIV. THEOREM 116. 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 angle opposite the third side of the first... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...PB>AY. Ax. 9 .'.AB>AY. Ax. 11 PROPOSITION XXIV. THEOREM 116. 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 angle opposite the third side of the first... | |
 | Sophia Foster Richardson - Geometry, Solid - 1914 - 236 pages
...PS = PL, (3) but KL < KS, (§ 96) and .-. Z. KPL < Z. KPS. (If two triangles have two sides of the one equal respectively to two sides of the other but the third side of the first less than the third side of the second, then the angle opposite the third side of the first is less... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 320 pages
...=40°. Fid. 3 Place the triangle ABC on Fig. 2 so that AC coincides with GK. Triangles ABC and- GHK have two sides of one equal respectively to two sides of the other. Are these two triangles equal? Place the triangle ABC on Fig. 3 so that AC coincides with DF. Triangles... | |
 | John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...are similar. § 146. The sum of any two sides of a triangle is greater than the third side. § 148. If two triangles have two sides of one equal respectively...the first greater than the third side of the second, the angles opposite these sides are unequal, the greater angle being opposite the greater side. §... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...(4). QBD PROPOSITION XVI. THEOREM 122. If two triangles have two sides of the one respectively equal to two sides of the other, but the third side of the...greater than the third side of the second, then the included angle of the first is greater than the included angle of the second. Given A ABC and A DEF... | |
 | William Betz - Geometry - 1916 - 536 pages
...radii. Prove that the perimeter of the octagon is greater than the perimeter of the square; ' ' i 231. If two triangles have two sides .of one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the... | |
 | John Charles Stone, James Franklin Millis - Geometry - 1916 - 298 pages
...DBA and Z 1, then Z DBA and Z D. Why, then, is AC + OD > AB? Why, then, is AC+BOAB? 147. Theorem. — If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, the sides opposite these... | |
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