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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. "
An Elementary Geometry - Page 23
by William Frothingham Bradbury - 1873 - 110 pages
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London Medical Gazette: Or, Journal of Practical Medicine, Volume 47

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....
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Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ...

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...
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Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

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...
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An Elementary Geometry and Trigonometry

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...
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A Treatise on Special Or Elementary Geometry

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...
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Treatise on Plane and Solid Geometry for Colleges, Schools, and Private Students

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...
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A Treatise on Special Or Elementary Geometry

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...
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Elements of Natural Philosophy, Part 1

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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An Elementary Geometry: Plane, Solid and Spherical

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...
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Kinematics: A Treatise on the Modification of Motion, as Affected by the ...

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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