| University College, Galway - 1895 - 404 pages
...up 24 cubic inches. GEOMETRY AND TRIGONOMETRY. Examiner — PROFESSOR DIXON, MA GEOMETRY. 1. If two **triangles have two sides of the one equal to two sides of the other, each to each, and** likewise the angles contained by those pairs of sides equal, then the triangles shall be equal in all... | |
| Association for the Improvement of Geometrical Teaching - 1903 - 342 pages
...from Theor. 15 that the hypotenuse is the greatest side of a right-angled triangle. THEOR. 16. If two **triangles have two sides of the one equal to two sides of the other, each to each,** but the included angles unequal, then the bases are unequal, the base of that which has the greater... | |
| Euclid - Euclid's Elements - 1904 - 488 pages
...EK, KG are greater than EF. Hence EG (or BC) is greater than EF. EUCLID-S ELEMENTS. PROPOSITION 25. **THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each,** hit the base of one greater than the base of the other ; then the angle contained by the sides of that... | |
| 1904 - 386 pages
...angles to AB. (a.) Define a right angle. (b.) Prove the correctness of your construction. (10) 8. If two **triangles have two sides of the one equal to two sides of the other each to each, and** the angles included by those sides equal, show that the triangles are equal in all respects. 0 is the... | |
| George Bruce Halsted - Geometry - 1904 - 322 pages
...is the greater. Proof. BA=BD + DA =.BD + DA'>BA'. FIG. 220. FIG. 221. 552. Theorem. // two spherical **triangles have two sides of the one equal to two sides of the** other, but the included angles unequal, then that third side is the greater which is opposite the greater... | |
| George Bruce Halsted - Geometry - 1904 - 324 pages
...the axis is the greater. Proof. BA=BD + DA = BD + DA'>BA'. F1G. 221. 552. Theorem. // two spherical **triangles have two sides of the one equal to two sides of the** other, but the included angles unequal, then that third side is the greater which is opposite the greater... | |
| 1905 - 614 pages
...of those sides and its continuation to meet a perpendicular on it from the opposite angle. 5. If two **triangles have two sides of the one equal to two sides of the** other, ea<.'h to each but their bases unequal ; the angle contained by the sides of that which has... | |
| Saskatchewan. Department of Education - Education - 1906 - 188 pages
...triangles? (b) Show that in the following proposition the triangles are not necessarily equal: Two **triangles have two sides of the one equal to two sides of the other, each to each, and** an angle opposite to one side of one triangle equal to the angle opposite to the equal side of the... | |
| International Correspondence Schools - Building - 1906 - 620 pages
...C, and ADB ', the supplement of ADC, is the supplement of C, since, by Art. 76, ADC-C. 9' 81. If two **triangles have two sides of the one equal to two sides of the** other, and the angles opposite one pair of the equal sides are right angles or equal obtuse angles,... | |
| 1907 - 608 pages
...equal value. Mr. J. Ross, Senior Inspector. Mr. J. CHAMBERS, District Inspector. SECTION A. 1. If two **triangles have two sides of the one equal to two sides of the other, each to each, and have likewise** their bases equal : (1) the angle which is contained by the two sides of the one is equal to the angle... | |
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