| Euclides - 1853 - 146 Seiten
...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... | |
| Euclides - 1853 - 176 Seiten
...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... | |
| Royal Military Academy, Woolwich - 1853
...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.,... | |
| Charles Davies - 1854 - 436 Seiten
...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 which has... | |
| Popular educator - 1854
...any angle of a triangle bisecting the opposite side, bisects the triangle. Corollary 2. — If two **triangles have two sides of the one equal to two sides of the other, each to each, and the** angle contained by the two sides of the one, the supplement of the angle contained by the two sides... | |
| Thomas Lund - 1854 - 192 Seiten
...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,... | |
| Horatio Nelson Robinson - 1854 - 350 Seiten
...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.... | |
| William Somerville Orr - 1854
...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... | |
| Queensland. Department of Public Instruction - 1892 - 500 Seiten
...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... | |
| Euclid - 1892 - 518 Seiten
...the given point A, an angle equal to the given angle DCE. QEF PROPOSITION 24. If two triangles /iMve **two sides of the one equal to two sides of the other, each to each,** but the angle contained by the two sides of one greater than the angle contained by the corresponding... | |
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