When two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the third side in that triangle which has the greater angle, is greater than in the other. Elementary Geometry: Plane - Page 38by James McMahon - 1903 - 358 pagesFull view - About this book
| Adrien Marie Legendre - Geometry - 1828 - 346 pages
...therefore, still more is BO+OCZBA+ AC. THEOREM. ^ 0 -— ' 42. 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 will be unequal ; and the greater side, will belong to the triangle... | |
| John Radford Young - Astronomy - 1833 - 286 pages
...A increases: hence if two triangles have two sides in the one equal to two sides in the other, but the included angle in the first greater than the included...angle in the second, then the third side of the first triangle must be greater than the third side of the second. Let us now proceed with the analytical... | |
| John Radford Young - Geometry, Solid - 1848 - 384 pages
...A increases': hence if two triangles have two sides in the one equal to two sides in ike other, but the included angle in the first greater than the included angle in the second, then the third side of theßrst triangle must be greater than the third side of the second. Let us now proceed with the analytical... | |
| 1851 - 1152 pages
...Л and B. 6. Solve the following equations :— (1.) 3*-fl-ar-l-2r-f 5 д-lx + l 2*2-2 (2.) . 7. If two triangles have two sides of'!»' one respectively equal to two sides of ik other, and the contained angles equal, Pn'" t liât the triangles will be equal in <**? respect.... | |
| George Roberts Perkins - Geometry - 1856 - 460 pages
...sides containing the right angle of the other. THEOREM XXI. If two triangles have two sides of the one respectively equal to two sides of the other, and the included angle of the first greater than the included angle of the second, the third side of the first will be greater... | |
| George Roberts Perkins - Geometry - 1860 - 472 pages
...sides containing the right angle of the other. • THEOREM XXI. If two triangles have two sides of the one respectively equal to two sides of the other, and, the included, angle of the first greater than the included angle of the second, th'> third side of the first will be greater... | |
| Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...determine a triangle. UNEQUAL TRIANGLES. 293. Theorem — When two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the third side in that triangle which has the greater angle, is greater than in the... | |
| William Frothingham Bradbury - Geometry - 1872 - 124 pages
...bisected, any other line drawn through the point of bisection and joining the parallels is bisected. 79. If two triangles have two sides of one respectively equal to two sides of the other, but the included angles unequal, the third side of the one having the included angle greater is greater... | |
| William Frothingham Bradbury - Geometry - 1872 - 262 pages
...triangles as in the f)gure; draw BE bisecting the angle CHS, and join C and E.) 80. (Converse of 79.) If two triangles have two sides of one respectively equal to two sides of the other, but the third sides unequal, the included angle of the one having the third side greater is greater... | |
| William Thomson Baron Kelvin, Peter Guthrie Tait - Mechanics, Analytic - 1872 - 316 pages
...former, is equal to OE. Similarly OL is equal to OF. Thus there are two triangles, MLO and EOF, with two sides of one respectively equal to two sides of the other, and the contained angles equal : therefore the remaining sides OM, EF are equal, and the angles LOM, OFE are... | |
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