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" If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal. "
Junior High School Mathematics ... - Page 7
by Edson Homer Taylor, Fiske Allen - 1923
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Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - Geometry - 1901 - 460 pages
...questions of this kind. PROPOSITION IV 41. If two triangles have two sides and the included angle of the one equal, respectively, to two sides and the included angle of the other, the triangles are identically equal. EF f E Let ABC and DEF be the two given triangles in which the side AB equals the...
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Concrete Geometry: Introductory to Formal Plane Geometry

Theophilus Nelson - Geometry, Modern - 1902 - 154 pages
...triangles equal? What general principle may be inferred from this in regard to two triangles which have two sides and the included angle of one equal,...respectively, to two sides and the included angle of the other? Statement : — 101. Draw a triangle ABC with the sides AB, BC, and CA equal, respectively,...
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Elements of Plane and Solid Geometry

Alan Sanders - Geometry - 1903 - 396 pages
...was to be proved. QEF Quod erat faciendum , which was to be done. BOOK I PROPOSITION I. THEOREM 30. If two triangles have two sides and the included angle...the included angle of the other, the triangles are equal in all respects. Let the A ABC and DEF have AB = DE, BC = EF, and ZB = Z E. To Prove the A ABC...
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Plane Geometry by the Suggestive Method

John Alton Avery - Geometry, Modern - 1903 - 136 pages
...BX? Auth. Conclusion. 28. Problem III. To construct an angle equal to a given angle. THEOREM VI 29. If two triangles have two sides and the included angle...equal respectively to two sides and the included angle of the otJier, the triangles are equal. Hyp. In the A ABC and DEF, let AC=DF, AB = DE, To prove that...
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Ellen: Or, Whisperings of an Old Pine, Volume 1

Joseph Battell - Force and energy - 1903 - 722 pages
...greater side is opposite the greater angle.' "Demonstrated under Figure i (Eighth). PROPOSITION XXII. 1 If two triangles have two sides and the included angle...equal respectively to two sides and the included angle oí the other, the triangles are equal.' "Because the third sides, extending over equal space, are...
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Mathematics, mechanics, heat

American School (Chicago, Ill.) - Engineering - 1903
...angle A + angle B. THEOREM XVII. 77. If two triangles have two sides and the included angle of the one equal respectively to two sides and the included angle of the other, the two triangles are equal in all respects. In the triangles ABC and DEF, let the side AB = DE, AC = DF...
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Introduction to Geometry: A Manual of Exercises for Beginners

William Schoch - Geometry - 1904 - 152 pages
...to make ABCA1 symmetrical with respect to BC? What parts may these be ? 3. Given two triangles, with two sides and the included angle of one equal respectively to two sides and the included angle of the other. Can you place them together so as to form a symmetrical quadrilateral ? Can you, then,...
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Syllabus of Plane' Geometry: (corresponding to Euclid, Book I-VI) : Prepared ...

Cora Lenore Williams - Geometry - 1905 - 50 pages
...pentagon; of six, a hexagon; etc. Theor. B. If two triangles have two sides and the included angle of the one equal respectively to two sides and the included angle of the other, the triangles are congruent. ( If the sides of one triangle are arranged in reverse order to the corresponding sides of a second...
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Plane Geometry Suggestive Method

George Clinton Shutts - 1905 - 260 pages
...to A DEF ? § 50. 6. How, then, does A ABC compare with A DEF ? Model. PROPOSITION VII. Theorem. // two triangles have two sides and the included angle of one, .equal to two sides and the included angle of the other, each to each, the triangles are equal in all respects....
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Exercises in Concrete Geometry: With Supplementary Discussions

David Sands Wright - Geometry - 1906 - 104 pages
...illustrated in the following demonstration : If two triangles have two sides and the included angle of the one equal respectively to two sides and the included angle of the other, the triangles are equal. Given the triangles ABC and DEF, having, respectively, the side AB = the side DE ; the side...
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