| Euclides - 1865 - 402 pages
...I. 41. * ' The 4th, 8th, 24th, and,<25th propositions may be announced together thus : — ' if two **triangles have two sides of the one respectively equal to two sides of the other,** the remaining side of the one will be greater or less than, or equal to, the remaining side of the... | |
| Eli Todd Tappan - Geometry - 1868 - 432 pages
...angle A given, there are two triangles, ABC andABD. " ~5~ ~v UNEQUAL TRIANGLES. Theorem. — When two **triangles have two sides of the one respectively equal to two sides of the other, and the** induded angles unequal, the third side in that triangle which has the greater angle, is greater than... | |
| Robert Potts - 1868 - 410 pages
...then the angle of one triangle is supplemental to the other. Hence the following property : — If two **triangles have two sides of the one respectively equal to two sides of the other, and the** contained angles supplemental, the two triangles are equal. A distinction ought to be made between... | |
| Richard Wormell - Geometry, Plane - 1868 - 261 pages
...respectively equal to the three angles of another, while the triangles are unequal (fig. 79). When two **triangles have two sides of the one respectively equal to two sides of the other,** but the included angle of the one greater than the included angle of the other, the base of that which... | |
| Eli Todd Tappan - Geometry - 1868 - 436 pages
...radius, describe a circumference in the plane MN, cutting CD at D. N Then the triangles ACD and ACB **have two sides of the one respectively equal to two sides of the other.** But the third side AD is longer than the third side AB (530). Therefore, the angle ACD is greater than... | |
| Richard Wormell - Geometry, Plane - 1870 - 16 pages
...angles in each, or opposite one of them, the triangles are equal in all respects. (§ &&b). 14. When two **triangles have two sides of the one respectively equal to two sides of the other,** but the angle contained by the two sides of the one greater than the angle contained by the two sides... | |
| Edward Olney - 1872 - 270 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 the triangle having... | |
| Edward Olney - Geometry - 1872 - 566 pages
...bringing together the two greatest sides. Fia. 210. PROPOSITION X. 295. Theorem. — If two triangles hare **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 Iclongs to the triangle having... | |
| Edward Olney - Geometry - 1872 - 472 pages
...greatest sides. F1a. 210. PROPOSITION X. 293. Theorem,, — If two triangles have two sides of tĄte **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 the triangle having... | |
| 1873 - 164 pages
...Prove that the area of a circle of which r is the radius is equal to if t 2 . VII. 1. Prove that if two **triangles have two sides of the one respectively equal to two sides of the other,** while the included angles are unequal, the third sides will be unequal, and the greater third side... | |
| |