| 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... | |
| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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,... | |
| 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... | |
| 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.... | |
| 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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