 | Euclides - 1852 - 152 pages
...therefore also BC is greater than EF. Therefore, if two triangles, &c. QED PEOP. XXV. THEOR. If two triangles have two sides of the one equal to two sides of the other, each to each, but the base of the one greater than the base of the other; the angle also contained by the sides of... | |
 | Euclides - Geometry - 1853 - 176 pages
...also b С is greater than ef Therefore, if two triangles, &c. QED PROPOSITION XXV. — THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, but the base of the one greater than the base oftlie Other; the angle also contained by the sides of... | |
 | Euclides - 1853 - 146 pages
...therefore also 6. BC is greater than EF. Therefore, if two triangles, &c. QED PROP. XXV. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, but the base of the one greater than the base of the other; the angle also contained by the sides of... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...angle ; and we have sa = SA, and ad' = arf = AD: wherefore the two rightangled triangles SAD, sad' have two sides of the one equal to two sides of the other, and hence the third sides SD, sd' are also equal, and the angles opposite to these equal, viz.,... | |
 | Horatio Nelson Robinson - Conic sections - 1854 - 350 pages
...is greater than the angle C. Much more, then, is the angle ABC greater than CQED THEOREM 17. If two triangles have two sides of the one equal to two sides of the other, each to each, and an angle opposite one of the equal sides in each, triangle equal, then will the two triangles be equal.... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...that BO+OC<BD+DC: therefore, still more is BO+OC<BA+AC. PROPOSITION IX. THEOREM. If two triangles_ have two sides of the one equal to two sides of the other, each to each, and the included angles unequal, the third sides will be unequal; and the greater side will belong to the triangle... | |
 | Thomas Lund - Geometry - 1854 - 520 pages
...ABC is an equilateral triangle and it is described upon the straight line AB. 24. PROP. II. If two triangles have two sides of the' one equal to two sides of the other, each to each, and have likewise the angles formed by those sides equal to one another, they shall also have their bases,... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...pair of opposite triangles thus formed will be together equal to half the parallelogram. 14. If two triangles have two sides of the one equal to two sides of the other, each to each, and if the angle contained by the two sides of the one, together icit/i that contained by the two sides... | |
 | Seth Thayer Stewart - Geometry, Modern - 1891 - 422 pages
...equal, E F. Conclusion : ABC and HEF being any two triangles, etc. PROPOSITION XV. 149. Theorem : If two triangles have two sides of the one equal to two sides of the Oliver, each to each, but the third sides unequal, the included angles are unequal, and the triangle... | |
 | Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...Moors, MA 1. Upon a given base describe an isosceles triangle equal to a given triangle. 2. If two triangles have two sides of the one equal to two sides of the other, each to each, and the angle» opposite a pair of equal sides equal : then if the angles opposite to the other pair of equal sides... | |
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If two triangles have two sides of the one equal to two sides of the... 
