 | Euclides - 1853 - 146 pages
...two straight lines, a part AE has been cut off equal to C the less. Which was to be done. PROP. IV. THEOREM. 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 ;... | |
 | Euclides - Geometry - 1853 - 176 pages
...straight lines, a part ae has been cut off equal to С the lese. Which was to be done. PROPOSITION IV. — THEOREM. If two triangles have two sides of the one equal to two sides oftlie other, each to each ; and have likewise the angles contained by those sides equal to one another... | |
 | 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... | |
 | Popular educator - 1854 - 922 pages
...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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Euclides - 1855 - 270 pages
...squares drawn from the extremities of the base, are together equul to the square of the base. PROP. С. THEOREM.— If two triangles have two sides of the one equal to two sides of the other, each to each, and the angles opposite to either of the two equal sides be each a right angle,... | |
 | Education - 1855 - 1124 pages
...ACADEMY. EXAMINATION PAPERS, JCLT, 1854. LEOENDRE'S GEOMETRY. Introductory Class. 1. Prove that, 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... | |
 | Robert Potts - 1855 - 1050 pages
...the duty is paid, what ought unroasted coffee to cost, neglecting the expense of roasting? 9. 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... | |
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THEOREM. IF two triangles have two sides of the one equal to two sides of the... 
