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" If two triangles have two sides of one respectively equal to two sides of the other, but the third sides unequal... "
An Elementary Geometry - Page 23
by William Frothingham Bradbury - 1872 - 110 pages
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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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The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

Euclides - 1885 - 340 pages
...Therefore they are equal to one another. Exercises. 1. Every median of a triangle bisects the triangle. 2. If two triangles have two sides of one respectively equal to two sides of the other, and the contained angles supplemental, their areas are equal. 3. If the base of a triangle be divided...
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The First Six Books of the Elements of Euclid: And Propositions I-XXI of ...

Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...Therefore they are equal to one another. Exercises. 1. Every median of a triangle bisects the triangle. 2. If two triangles have two sides of one respectively equal to two sides of the other, and the contained angles supplemental, their areas are equal. 3. If the base of a triangle be divided...
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 418 pages
...point H is taken, and HB, HD are drawn: show that the triangle BAH is equal to the triangle DAH. 5. If two triangles have two sides of one respectively equal to two sides of the other, and the included angles supplementary, show that the triangles are equal in area. 6. ABCD is a parallelogram,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...point X is 'taken, and XB, XD are drawn: shew that the triangle BAX is equal to the triangle DAX. 9. 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. ON PROP. 39....
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Elementary Synthetic Geometry

George Bruce Halsted - Geometry - 1896 - 208 pages
...which is opposite the greater angle. 305. Inverse. If two triangles have two sides FIG. 1501. Qf f^g one respectively equal to two sides of the other, but the third sides unequal, then, of the angles opposite these third sides, that is the greater which is opposite the greater third...
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...8. .'.ZAB2B! >ZB2B1A. Ax. 5 9. .'.c, >c2. Th. 7 Theorem 11. If two triangles have two sides of the one respectively equal to two sides of the other, but the third sides unequal, then the included angles are unequal, the greater angle being opposite the greater third side. Given...
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Plane Geometry

George D. Pettee - Geometry, Modern - 1896 - 272 pages
...adj. A (3) 3s. Right Triangles. (1) hyp. and s. (2) hyp. and acute Z. PROPOSITION XXII 99. Theorem, If two triangles have two sides of one respectively equal to two sides of the other, but the included angles unequal, the third sides are respectively unequal. E C Appl. Cons. Dem. Place A 12...
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Syllabus of Propositions in Geometry: Intended for Use in Preparing Students ...

Harvard University - Geometry - 1899 - 39 pages
...unequal, the side opposite the greater angle is greater than the side opposite the less angle. THEOREM V. If two triangles have two sides of one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater...
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New Plane Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 265 pages
...Given Step 2 Prop. I Prop. VIII PROPOSITION XI. 78. Theorem. If two triangles have two sides of the one respectively equal to two sides of the other, but the third sides unequal, then the included angles are unequal, the greater angle being opposite the greater third side. Given...
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