| 1851 - 1154 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 liāt the triangles will be equal in <**? respect.... | |
| Eli Todd Tappan - Geometry, Modern - 1864 - 292 pages
...circumference in the plane MN, cutting CD at D. 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 the angle... | |
| Eli Todd Tappan - Geometry - 1868 - 436 pages
...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 the angle... | |
| William Frothingham Bradbury - Geometry - 1872 - 268 pages
...the third side of the other. (Place the triangles as in the f)gure; draw BE bisecting the angle CHS, **and join C and E.) 80. (Converse of 79.) If two triangles...(Prove it by proving any other supposition absurd.) 81** i Prove in Theorem XIII. the angles of the two triangles equal by reference to (79) ; then that 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,... | |
| Edward Olney - Geometry - 1872 - 472 pages
...fit on the other ? Cut out two such triangles and try it. Ex. 6. If you have two triangles with only **two sides of one respectively equal to two sides of the other,** can you make one fit as a pattern on the other ? Try it. Ex. 7. If you have two triangles with two... | |
| Edward Olney - 1872 - 270 pages
...fit on the other ? Cut out two such triangles and try it. Ex. 6. If you have two triangles with only **two sides of one respectively equal to two sides of the other,** can you make one fit as a pattern on the other ? Try it. Ex. 7. If you have two triangles with two... | |
| William Frothingham Bradbury - Geometry - 1873 - 292 pages
...of the other. (Place the triangles as in the figure; draw BE bisecting the angle С BD, and join С **and E.) 80« (Converse of 79.) If two triangles have...(Prove it by proving any other supposition absurd.) 81.** Prove in Theorem XIII. the angles of the two triangles equal by reference to (79) ; then that the triangles... | |
| William Frothingham Bradbury - Geometry - 1880 - 260 pages
...of which one part is a side, are equal to the corresponding parts of the other. X THEOREM XIX. 101i **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 than... | |
| 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... | |
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