| A. M. LEGENDRE - 1852
...been shown that BO+00<BD+DC: therefore, still more is BO+OC<BA+AC. PROPOSITION IX. THEOEEM. 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... | |
| Euclides - 1853 - 147 páginas
...Therefore, upon the same base, and on the same side of it, &c. QED PROPOSITION VIII. — THEOREM. If two **triangles have two sides of the one equal to two sides of the other, each to each,** and have likewise their bases equal ; the angle which is contained by the two sides of the one shau... | |
| Euclides - 1853
...viz. G. The angle ABC shall be equal to the angle DEF, and the angle ACB to DFE. Therefore, if two **triangles have two sides of the one equal to two sides of the other, each to each,** and have likewise the angles contained by those sides equal to one another, their bases shall likewise... | |
| 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.,... | |
| Popular educator - 1854
...line drawn from 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... | |
| Thomas Lund - 1854 - 192 páginas
...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... | |
| 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... | |
| Horatio Nelson Robinson - 1854 - 335 páginas
...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... | |
| Seth Thayer Stewart - 1891 - 406 páginas
...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... | |
| Euclid, Robert Simson - 1892 - 518 páginas
...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, but the angle contained by the two sides of one** greater than the angle contained by the corresponding sides of the other ; then the base of that which... | |
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