 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 first is greater than the third side of the second.  Essentials of Geometry (plane). - Page 40by Webster Wells - 1898 - 242 pagesFull view - About this book
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...AAGH AH' A .45C = ABxAC ~?x ' A^Gff~^G£xAff' . A ABC = ABxAC (?, ' ADEF DE x DF' QBD 182 Ex. 538. If two triangles have two sides of one equal respectively to two sides of the other and the included angles supplementary, the triangles are equivalent. Ex. 539. Two triangles which have... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...DB ; that is, AB > DB or DE. Therefore, etc. QED Proposition XXXT 130. Construct two triangles that have two sides of one equal respectively to two sides of the other, but the third sides unequal. How do the angles opposite the third sides compare in size? Theorem. If two sides... | |
 | William James Milne - Geometry - 1899 - 398 pages
...its equal DH, AH+ HB>DB; that is, AB > Dn or DE. Proposition XXXI 130. Construct two triangles that have two sides of one equal respectively to two sides of the other, but the third sides unequal. How do the angles opposite the third sides compare in size ? Theorem. If two sides... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...altitude of an equilateral triangle is 3 ; find its area. 20. Two triangles are equivalent if they ^ have two sides of one equal respectively to two sides of the other, and the included angles supplementary. U^A — D' 21. One diagonal of a rhombus is five-thirds of the... | |
 | 1900 - 650 pages
...being assigned to each. Dr. ALEXANDER, Head Inspector. Mr. CUSSEN, District Ins|>ector. * SECTION A. 1. If two triangles have two sides of one equal respectively to two sides of the other, and have also the angles included by those sides equal, the triangles are equal in every respect. Prove... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...(Compare Props. V and VIII.) 44 PROPOSITION XXX. THEOREM 128. If two triangles have two sides of the one equal respectively to two sides of the other,...first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. B ——- Hyp. In A... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...one. (Compare Props. V and VIII.) PROPOSITION XXX. THEOREM 128. If two triangles have two sides of the one equal respectively to two sides of the other,...first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Hyp. In A ABC and A'B'C'... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...one. (Compare Props. V and VIII.) PROPOSITION XXX. THEOREM 128. If two triangles have two sides of the one equal respectively to two sides of the other,...first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Hyp. In A ABC and A'B'C'... | |
 | Arthur Schultze - 1901 - 260 pages
...one. (Compare Props. V and VIII.) PROPOSITION XXX. THEOREM 128. If two triangles have two sides of the one equal respectively to two sides of the other,...first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Hyp. In & ABC and A'B'C'... | |
 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 122 pages
...the second, the third side of the first is greater than the third side of the second; and 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 angle opposite the third side... | |
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