| Euclides - 1852 - 152 pages
...be equal to them, viz. the angle ABC 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... | |
| Euclides - 1853 - 146 pages
...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... | |
| Euclides - Geometry - 1853 - 176 pages
...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... | |
| 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.,... | |
| 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... | |
| 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... | |
| 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 contained by the two... | |
| 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... | |
| Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...— If a = m + n, then 4<m + ms = (a + n)*. 4. If two triangles have two sides of the one equal to 20 **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 sides of the other ; thon the base of that which... | |
| George Bruce Halsted - Geometry - 1896 - 208 pages
...that cutting the axis is the greater. Proof. BA=BC+ CA = BC + CA'>BA'. 406. Theorem. If two spherical **triangles have two sides of the one equal to two sides of the** other, but the included angles unequal, then that third side is the greater which is opposite the greater... | |
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