 | Education - 1833 - 414 pages
...simple derivative propositions of such a form as this — ' If two triangles have two sides of the one respectively equal to two sides of the other, but the included angles unequal, the remaining sides will be unequal, &c.' On the question whether the fifth book of Euclid, which is on... | |
 | Schoolmaster - 1836 - 926 pages
...simple derivative propositions of such a form as this — " If two triangles have two sides of the one respectively equal to two sides of the other, but the included angles unequal, the remaining sides will be unequal, &c." On the question whether the fifth book of Euclid, which is on... | |
 | Education - 1836 - 502 pages
...simple derivative propositions of such a form as this — " If two triangles have two sides of the one respectively equal to two sides of the other, but the included Angles unequal, the remaining sides will be unequal, &c." On the question whether the fifth book of Euclid, which is on... | |
 | Charles William Hackley - Geometry - 1847 - 248 pages
...ACB are equal the given angles. QED ~ "~ THEOREM XXXII. If two triangles have two sides of the one equal to two sides of the other, but the included angles unequal, the third sides will be unequal, and the greater will be in that triangle which has the greater included angle.... | |
 | 1851 - 1152 pages
...of 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.... | |
 | Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...the sides opposite to them can not be unequal. THEOREM X. If two triangles have two sides of the one equal to two sides of the other, but the included angles unequal, the base of that which has the greater angle is greater than the base of the other. Let the two triangles... | |
 | Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...Hence, much more is BA+AC>BD+DC, or BD+DC<BA+AC. THEOREM XII. If two triangles have two sides of the one equal to two sides of the other, but the included angles unequal, the third sides will be unequal, and the greater will be in that triangle which has the greater included angle.... | |
 | Richard Wormell - Geometry, Modern - 1868 - 286 pages
...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 has the 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 than the... | |
 | 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,... | |
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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. 
