 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...AHC. (? 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
...(Ax. 4) Substituting for GH its equal CH, we have PROP. XXIX. THEOREM. 92. (Converse of Prop. XXVIII.) 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 included angle of the... | |
 | Webster Wells - Geometry - 1899 - 450 pages
...(Ax. 4) Substituting for GH its equal CH, we have PROP. XXIX. THEOREM. 92. (Converse of Prop. XXVIII.) 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 included angle of the... | |
 | 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... | |
 | 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.... | |
 | 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... | |
 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 122 pages
...the opposite angles are unequal, and the greater angle lies opposite the greater side. 4. 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 third side of... | |
 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 116 pages
...the opposite angles are unequal, and the greater angle lies opposite the greater side. 4. 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 third side of... | |
 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 120 pages
...the opposite angles are unequal, and the greater angle lies opposite the greater side. 4. 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 third side of... | |
 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...that of the polygon ABCDEF. PROPOSITION* XXVIII. THEOREM 181. If two triangles have two sides of the one equal respectively to two sides of the other, and the included angles unequal, the third sides are unequal, and the greater third side belongs to the triangle having the greater included... | |
| |
If two triangles have two sides of one equal, respectively, to two sides of the other... 
