| Charles William MacCord - Machinery, Kinematics of - 1883 - 360 pages
...two ellipses, IIK and GL, will also intersect in P. For, first, joining DE, the triangles DEF, DEC, **have two sides of one respectively equal to two sides of the** I other, and the third side is common, whence the angle at F is equal to the angle at C; and in the... | |
| Euclides - 1885 - 340 pages
...Therefore they are equal to one another. Exercises. 1. Every median of a triangle bisects the triangle. 2. **If two triangles have two sides of one respectively equal to two sides of the other,** and the contained angles supplemental, their areas are equal. 3. If the base of a triangle be divided... | |
| Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...Therefore they are equal to one another. Exercises. 1. Every median of a triangle bisects the triangle. 2. **If two triangles have two sides of one respectively equal to two sides of the other,** and the contained angles supplemental, their areas are equal. 3. If the base of a triangle be divided... | |
| Edward Albert Bowser - Geometry - 1890 - 418 pages
...point H is taken, and HB, HD are drawn: show that the triangle BAH is equal to the triangle DAH. 5. **If two triangles have two sides of one respectively equal to two sides of the other,** and the included angles supplementary, show that the triangles are equal in area. 6. ABCD is a parallelogram,... | |
| Euclid - Geometry - 1892 - 460 pages
...point X is 'taken, and XB, XD are drawn: shew that the triangle BAX is equal to the triangle DAX. 9. **If two triangles have two sides of one respectively equal to two sides of the other,** and the angles contained by those sides supplementary, the triangles are equal in area. ON PROP. 39.... | |
| George Bruce Halsted - Geometry - 1896 - 208 pages
...which is opposite the greater angle. 305. Inverse. If two triangles have two sides FIG. 1501. Qf f^g **one respectively equal to two sides of the other, but the third sides unequal,** then, of the angles opposite these third sides, that is the greater which is opposite the greater third... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...8. .'.ZAB2B! >ZB2B1A. Ax. 5 9. .'.c, >c2. Th. 7 Theorem 11. If two triangles have two sides of the **one respectively equal to two sides of the other, but the third sides unequal,** then the included angles are unequal, the greater angle being opposite the greater third side. Given... | |
| George D. Pettee - Geometry, Modern - 1896 - 272 pages
...adj. A (3) 3s. Right Triangles. (1) hyp. and s. (2) hyp. and acute Z. PROPOSITION XXII 99. Theorem, **If two triangles have two sides of one respectively equal to two sides of the other, but the** included angles unequal, the third sides are respectively unequal. E C Appl. Cons. Dem. Place A 12... | |
| Harvard University - Geometry - 1899 - 39 pages
...unequal, the side opposite the greater angle is greater than the side opposite the less angle. THEOREM V. **If two triangles have two sides of one respectively equal to two sides of the other,** and the included angles unequal, the triangle which has the greater included angle has the greater... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 265 pages
...Given Step 2 Prop. I Prop. VIII PROPOSITION XI. 78. Theorem. If two triangles have two sides of the **one respectively equal to two sides of the other, but the third sides unequal,** then the included angles are unequal, the greater angle being opposite the greater third side. Given... | |
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