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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. "
Surveying and Navigation: With a Preliminary Treatise on Trigonometry and ... - Page 34
by Aaron Schuyler - 1873 - 482 pages
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Geometry for Grammar Schools

Ephraim Hunt - Geometry - 1894 - 118 pages
...their intersection, C, the angles are equal. DF=AC, EF=BC. Why? Therefore, CASE II. When two triangles have two angles and the included side of the one equal...and the included side of the other, each to each, the remaining parts will be equal, and the triangles are equal. Make any A ABC. Extend sides AB, CB....
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Regents Examination Papers

University of the State of New York. Examination Department - Examinations - 1894 - 412 pages
...credits. 1 Define and illustrate tangent, sector, rhombus, plane angle. 2 Prove that if two triangles have two angles and the included side of the one equal...and the included side of the other, each to each, the triangles are equal in all their parts. 3 Prove that two triangles are similar if they have an...
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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, having В С...
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A Manual for Teachers, Including Definitions, Principles, and Rules and ...

John Henry Walsh - 1895 - 296 pages
...included angle of the other, each to each ; and (Z>) when two angles and the included side of one are equal to two angles and the included side of the other, each to each. From 59, they should learn that when two triangles have the three sides of the one equal to three sides...
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Mathematics for Common Schools: A Manual for Teachers, Including Definitions ...

John Henry Walsh - 1896 - 282 pages
...included angle of the other, each to each ; and (6) when two angles and the included side of one are equal to two angles and the included side of the other, each to each. From 69, they should learn that when two triangles have the three sides of the one equal to three sides...
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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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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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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, having BC equal...
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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 Developed by the Syllabus Method

Eugene Randolph Smith - Geometry, Plane - 1909 - 204 pages
...congruence of figures is to prove equality of lines and of angles. 94. Theorem II. If two triangles have two angles and the included side of the one equal...to two angles and the included side of the other, the triangles are congruent. ANALYSIS This theorem is of the same class as Th. I, so must be done in...
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