| Aaron Schuyler - Geometry - 1876 - 384 pages
...B = E (53, 5), and the triangles are equal, as just shown. 73. Proposition XXIX.— Theorem. If two **triangles have two sides of the one respectively equal to two sides of the other,** and the included angle of the one greater than the included angle of the other, the third side of the... | |
| Edward Olney - Geometry - 1877 - 272 pages
...secured by bringing together the two greatest sides. PROPOSITION X. Fio. 210. 295. Theorem.—If two **triangles have two sides of the one respectively equal to two sides of the other,** and the included angles unequal, the third sides are unequal, and the greater third side belongs to... | |
| James McDowell - 1878 - 312 pages
...angle. CoR 19 25. Given the three bisectors of the sides of a triangle ; construct it. DBF 20 26. If two **triangles have two sides of the one respectively equal to two sides of the other,** and the contained angles supplemental, they are equal in area 20 27. If squares be described on the... | |
| 1882 - 376 pages
...Ans.—£2112. GEOMETRY. Examiners—Prof. AG GREENHILL, MA, and BENJAMIN WILLIAMSON, Esq., MA, FRS 1. If two **triangles have two sides of the one respectively equal to two sides of the other,** but the contained angle of the one greater than the contained angle of the other, prove that the base... | |
| Simon Newcomb - Trigonometry - 1882 - 372 pages
...Altitude A = b sin y. Therefore, a being the base, "/ ' Area = \ah = \ab sin y. QED Cor. 1. If two **triangles have two sides of the one respectively equal to two sides of the other,** and the angles which these sides form supplementary, the triangles will be equal in area. For the sines... | |
| Franklin Ibach - Geometry - 1882 - 208 pages
...the equal angles lie opposite the equal sides. ELEMENTS OF PLANE GEOMETRY. THEOREM XXVII. 89. If two **triangles have two sides of the one respectively equal to two sides of the other,** and the included angles unequal, the third sides are unequal, and the greater third side is in the... | |
| Edward Olney - Geometry - 1883 - 354 pages
...triangles, the equal angles lie opposite the equal sides. PROPOSITION VIII. 307. Theorem.— If two **triangles have two sides of the one respectively equal to two sides of the other,** and the included angles unequal, the third sides are unequal, and the greater third side belongs to... | |
| Euclides - 1884 - 434 pages
...construction as in the text, but let A DEO fall on the other side of DE. PROPOSITION 25. THEOREM. If two **triangles have two sides of the one respectively equal to two sides of the other,** but their bases unequal, the angle contained by the two sides of the triangle which has the greater... | |
| George Bruce Halsted - Geometry - 1885 - 389 pages
...opposite equal sides are equal.) But £ BDA -f 2£ ^C = st. £, = st. :£. 178. COROLLARY I. If two **triangles have two sides of the one respectively equal to two sides of the other,** and the angles opposite to one pair of equal sides equal, then, if one of the angles opposite the other... | |
| George Bruce Halsted - Geometry - 1886 - 394 pages
...angles opposite equal sides are equal.) But £ BDA + 4 BDC = st. £, = st. . 178. COROLLARY I. If two **triangles have two sides of the one respectively equal to two sides of the other,** and the angles opposite to one pair of equal sides equal, then, if one of the angles opposite the other... | |
| |