 | Benjamin Peirce - Geometry - 1841 - 186 pages
...AB would by § J5J_and the preceding demonstration, be equal to or less than AC. 63. Theorem. If two triangles have two sides of the one respectively equal to two sides of the other, and if the included angle of the first triangle is greater than the included angle of the second triangle,... | |
 | James Bates Thomson - Geometry - 1844 - 237 pages
...AG from one side, and its equal AB from the other, there will remain GC<BC, or EF<BC. Hence, If two triangles have two sides of the one respectively equal to two sides of the other, while the included angle of the one is greater than the included angle of the other, then will the... | |
 | Euclid, James Thomson - Geometry - 1845 - 380 pages
...from the vertex of a triangle to the point of bisection of the base, bisects the triangle ; ana if two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles (I. def. 38) supplemental, the triangles are equal. * lt follows from the... | |
 | Benjamin Peirce - Geometry - 1847 - 150 pages
...AB would by § 61 and the preceding demonstration, be equal to or less than AC. 63. Theorem. If two triangles have two sides of the one respectively equal to two sides of the other, and if die included angle of the first triangle is greater than the included angle of the second triangle,... | |
 | 1851 - 730 pages
...and B. 6. Solve the following equations: — Sx+1 Sx-1 2г + 5 (1.) (2.) xl x -t-1 2xt-1 7. If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles equal, prove that the triangles will be equal in every respect. 8. The square... | |
 | Euclides - 1852 - 48 pages
...(Prop. 19.) ; but DG is equal to A c, therefore DF is greater than A c. WWD PBOP. XXV. THEOE. If two triangles have two sides of the one respectively equal to two sides of the other, and if the base of one be greater than the base of the other ; the angle opposite to the greater base... | |
 | Euclid - Geometry - 1853 - 176 pages
...side of the other, either the sides adjacent to, or the sides opposite to, those equal angles. If two triangles have two sides of the one respectively equal to two sides of the other, .And have also their bases equal; But if the third side of the one be greater than the third side of... | |
 | Euclides - Geometry - 1853 - 334 pages
...been cut off equal to c the less. Which was to be done. PEOP. IV. THEOEEM. ' If two triangles have (1) two sides of the one respectively equal to two sides of the other ; (2) the angle included by the two sides of the one equal to the angle included by the two sides of... | |
 | Popular educator - 1854 - 1274 pages
...angle BA c is greater than the angle BDF. Wherefore, if two triangles, &c. QED Corollary. — If two triangles have two sides of the one respectively equal to two sides of the other, the base of the one is greater than, equal to, or less than the base of the other, according as the angle... | |
 | Euclides - 1855 - 262 pages
...the angle BAС is greater than the angle EDF. Wherefore, if two triangles, &o. QED Corollary. If two triangles have two sides of the one respectively equal to two sides of the other, the base of the one is greater than, equal to, or leas than the base of the ether, according as the angle... | |
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If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal. 
