 | Fletcher Durell - Geometry - 1911 - 553 pages
...ABCD, the triangles ABC and ADC are equivalent, the diagonal AC bisects the diagonal BD. Ex. 9. If two triangles have two sides of one equal to two sides of the other, and the included angles supplementary, the triangles are equivalent. Ex. 10. If, in the parallelogram ABCD,... | |
 | George Clinton Shutts - 1905 - 260 pages
...Suggestion: OM and 0 N are _L to AB and AC respectively. § 131. Prove OM equal to O N. PROPOSITION XL. 138. Theorem. // two triangles have two sides of one equal to two sides of the other and the included angles unequal, the remaining sides are unequal, and that side is the greater which is opposite... | |
 | William Chauvenet - 1905 - 336 pages
...has the greater third side. PROPOSITION XV. If two triangles have two sides of the one respectively equal to two sides of the other, and the third sides unequal, the triangle which has the greater third side has the greater included angle. PROPOSITION XVI. From a given... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...from A and B and CQED * The three lines from O to the vertices are the three equals. 86. THEOREM. If two triangles have two sides of one equal to two sides of the other, but the included angle in the first greater than the included angle in the second, the third... | |
 | Wisconsin. Department of Public Instruction - Education - 1906 - 124 pages
...included angle has the greater third side. 14. If two triangles have two sides of one equal respectively to two sides of the other, and the third sides unequal, the triangle which has the greater third side has the greater included angle. 15. If two parallel lines... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...the triangles are equivalent. Given : A AB C and A CD, etc. 20. Two triangles are equivalent if they have two sides of one equal to two sides of the other and the included angles supplementary. Proof: Z CAD = £ C'AD' (?) and CA = C'A (?). •-• the rt. A are... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...from A and B and CQED 'The three lines from 0 to the vertices are the three equals. 86. THEOREM. If two triangles have two sides of one equal to two sides of the other, but the included angle in the first greater than the included angle in the second, the third... | |
 | Webster Wells - Geometry - 1908 - 329 pages
...square of the second. AREAS OF POLYGONS Ex. 43. Find the ratio of the areas of two triangles which have two sides of one equal to two sides of the other, and the angles formed by the equal sides supplementary. Ex. 44. The square of the altitude of an equilateral... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...prove AIT - 1C2 = B& - ~C&AREAS OF POLYGONS Ex. 43. Find the ratio of the areas of two triangles which have two sides of one equal to two sides of the other, and the angles formed by the equal sides supplementary. Ex. 44. The square of the altitude of an equilateral... | |
 | Webster Wells - Geometry, Plane - 1908 - 208 pages
...AB2 - AC2 = ~B& - CZ?. AREAS OF POLYGONS Ex. 43. Find the ratio of the areas of two triangles which have two sides of one equal to two sides of the other, and the angles formed by the equal sides supplementary. Ex. 44. The square of the altitude of an equilateral... | |
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If two triangles have two sides of one equal to two sides of the other but the third side of the first greater than the thin! 
