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" If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal. "
First Lessons in Geometry: With Practical Applications in Mensuration, and ... - Page 35
by Charles Davies - 1840 - 252 pages
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Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - Geometry - 1894 - 412 pages
...Ах. i3. QED PROPOSITION VIII. 83. Theorem. // two triangles have two angles and the included side of one, equal to two angles and the included side of the other, each to each, the triangles are equal in all respects. С Е Let ABC and DEF represent two triangles,...
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...respectively equal to two sides and the included angle of the other, the triangles are congruent. Th. 2. If two triangles have two angles and the included side of the one respectively equal to two angles and the included side of the other, the triangles are congruent. The...
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...it to fix the lines A'B and B'A, laying off OA' = OA, and OB'= OB, and then measuring B'A'. Theorem 2. If two triangles have two angles and the included side of the one respectively equal to two angles and the included side of the other, the triangles are congruent. Given...
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Elements of Geometry

George Cunningham Edwards - Geometry - 1895 - 330 pages
...forming the angle, the A PAF and PAB will be congruent, having two angles and the included side of one equal to two angles and the included side of the other. Hence PF=PB. QED THEOREM. The distances of any point, not on the angle bisector, from the angle lines...
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Elementary Solid Geometry and Mensuration

Henry Dallas Thompson - Geometry, Solid - 1896 - 226 pages
...respectively to the three angles of the other, they are either equal or symmetrical. 30. If two spherical triangles have two angles and the included side of the one equal respectively to two angles and the included side of the other, the two triangles are equal or symmetrical....
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New Plane Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 265 pages
...when two sides and the included angle are given. PLANE GEOMETRY. [BK. I. PROPOSITION II. 63. Theorem. If two triangles have two angles and the included side of the one respectively equal to two angles and the included side of the other, the triangles are congruent. b...
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New Plane Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 272 pages
...PROPOSITION II. 63. Theorem. If two triangles have two angles and the included side of thi' one respectively equal to two angles and the included side of the other, the triangles are congruent. Given B C' a' the &ABC and A'B'C' such that Z C = Z. C ' , Z 7? = Z B', and...
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New Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 416 pages
...PROPOSITION II. 63. Theorem. If two triangles have two angles and the included side of the one respectively equal to two angles and the included side of the other, the triangles are congruent. C' a' B' Given A' B the &ABC and A'B'C' such that Z (7 = ZC", Z 5 = Z B',...
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Bulletin

Education - 1901 - 814 pages
...segment, diagonal. 2 Prove that if two triangles have two angles and the included side of one respectively equal to two angles and the included side of the other, the triangles are equal in all respects. 3 Prove that an inscribad angle is measured by one half the arc...
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Coal and Metal Miners' Pocketbook of Principles, Rules, Formulas, and Tables ...

International Correspondence Schools - Mining engineering - 1900 - 728 pages
...sides and the included angle of the other, they are equal in all their parts. 6. If two triangleshave two angles, and the included side of the one equal to two angles and the included side of the other, they are equal in all their parts. 7. In any triangle, the greater side is opposite the greater angle,...
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