 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 third side of the first is greater than the third side of the second...  A Treatise on Algebra - Page 435by George Peacock - 1830 - 685 pagesFull view - About this book
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...does it matter in what order the sides are arranged ? PROPOSITION XXV. THEOREM 92. 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... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...3, page 23, using §§ 73 und 77a. 2. Restate 8 76a. PROPOSITION XIII. THEOREM. 78. If two trianyles have two sides of one equal respectively to two sides of the oiJier, but the included angle of the first greater than the included angle of the second, then the... | |
 | Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...compare its area with the rectangle whose sides are the two legs of the right A242. If two triangles have two sides of one equal respectively to two sides of the other and the included angles supplementary, how are the areas related ? 243. The side of an equilateral triangle is 20 decimeters... | |
 | Webster Wells - Geometry - 1898 - 250 pages
...the homologous parts are equal.] (§ 66) Again, if we suppose Z A < Z D, BC would be < EF. [If two & have two sides of one equal respectively to two sides of the other, but the included Z of the first > the included Z of the second, the third side of the first is > the... | |
 | Mathematics - 1898 - 228 pages
...10 iuches; find the area of a segment whose arc is 60°. SEPTEMBER 1901. PLANE. 1. 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... | |
 | Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...so as to make the alternate interior angles equal, the two lines are parallel. 2. If two triangles have two sides of one equal respectively to two sides of the other, but the included angle ot the first greater than the included angle of the second, the third side of... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...BH+HG>BG. (?) BH+HC>BG. (?) .-. BC>BG. (?) .-. BC>EF. (?) QED Proposition 5O. Theorem. 61. 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... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...the homologous parts are equal.] (§ 66) Again, if we suppose ZA < ZD, BC would be < EF. [If two A have two sides of one equal respectively to two sides of the other, but the included Z of the first > the included Z of the second, the third side of the first is > the... | |
 | 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.... | |
 | 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... | |
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