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. An Elementary Geometry - Page 23by William Frothingham Bradbury - 1873 - 110 pagesFull view - About this book
| 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 liāt the triangles will be equal in <**? respect.... | |
| Eli Todd Tappan - Geometry, Modern - 1864 - 288 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 - 444 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 - 262 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... | |
| 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... | |
| Eli Todd Tappan - Geometry - 1873 - 288 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... | |
| 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 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,... | |
| 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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