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" VIf 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... "
Elements of Geometry and Conic Sections - Page 27
by Elias Loomis - 1849 - 226 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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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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Graded Lessons in Arithmetic, Book 8

Wilbur Fisk Nichols - 1905 - 208 pages
...Place one upon the other. 12. Draw two triangles that shall have two angles and the included side of one equal to two angles and the included side of the other. 13. Prove that these triangles are equal. 14. Make a triangle, ABC. Prolong AB and OB, making BE equal...
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Plane Geometry Suggestive Method

George Clinton Shutts - 1905 - 260 pages
...Ax. 13. 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. c E Let ABC and DBF represent two triangles,...
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The Coal Miner's Handbook: A Handy Reference Book for Coal Miners, Pit ...

International Correspondence Schools - Coal mines and mining - 1913 - 360 pages
...included angle of the other, they are equal in all their parts. 6. If two triangles have 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, and the...
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Coal Miners' Pocketbook: Formerly The Coal and Metal Miners' Pocketbook ...

Thomas J. Foster - Coal mines and mining - 1916 - 1230 pages
...included angle of the other, they are equal in all their parts. 6. If two triangles have 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, and the...
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Plane Geometry

Edith Long, William Charles Brenke - Geometry, Plane - 1916 - 292 pages
...the one equal respectively to two sides and the included angle of the other. or they have two angles and the included side of the one equal to two angles and the included side of the other. or they have three sides of the one equal respectively to the three sides of the other, or they have...
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Plane Geometry

Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...the one equal respectively to two sides and the included angle of the other. or they have two angles and the included side of the one equal to two angles and the included side of the other. or they have three sides of the one equal respectively to the three sides of the other. or they have...
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Plane Geometry

Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...the angles marked a equal, and those marked 6 equal. Hence in the triangles we have two angles'and the included side of the one equal to two angles and the included side of the other. This proves the congruence of the triangles, and therewith all of the proposition except ZA = ZC. That...
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Plane Geometry

Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 576 pages
...two spherical triangles on the same or on congruent spheres have two angles and the included side of one equal to two angles and the included side of the other, . a. The triangles are congruent if the parts are arranged in the same order. b. The triangles are...
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