| 1902 - 716 pages
[ Sorry, this page's content is restricted ] | |
| Euclid, Rupert Deakin - Geometry - 1903 - 218 pages
...than EF. Prop. 19 But BC was proved equal to EG, therefore BC is greater than EF. QED PROP. 25. — **Theorem. — If two triangles have two sides of the...one equal to two sides of the other, each to each,** but the base of the one greater than the base of the other ; then the angle contained by the two sides... | |
| Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...words, the greater the angle between the sides of the triangle the greater the base. THEOREM 19.* If two **triangles have two sides of the one equal to two sides of the other, each to each, and** the included angles unequal, the triangle which has the greater included angle has the greater third... | |
| 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... | |
| |