| Euclides - 1884 - 94 pages
...SHEETS. PROPOSITIONS 1—26, BOOK I, ARE NOW PUBLISHED IN A SIMILAR FORM TO THIS. PEOPOSITION XVI. **If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. Let** be a triangle, and let the side be produced to Then the exterior angle shall be greater than either... | |
| 1884 - 266 pages
...direct and an indirect demonstration. Define adjacent angles, opposite angles, and alternate angles. Z. **If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles.** Prove, without producing a side, that the three angles of any triangle are equal to two right angles.... | |
| University of Cambridge - 1884 - 624 pages
...patronum dixit ad infernas liber iturus aquas. MARTIAL, i. 101. FRIDAY, March 14, 1884. 9—12. 1. **IF one side of a triangle be produced, the exterior...greater than either of the interior opposite angles.** 2. Write a short essay on Euclid's twelfth axiom, and the principles which may be substituted for it.... | |
| Palaestra Oxoniensis - 1884 - 204 pages
...24. What is the least number of sides which a rectilineal figure can have ? Prove your answer. 26. **If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles.** By what later proposition in the first book is this superseded ? Shew that this is a necessary step... | |
| Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...bisected, the bisectors and the base form an isosceles triangle. THEOB. 9. If any side of a triangle is **produced, the exterior angle is greater than either of the interior opposite angles. Let** ABC be a triangle having the side BC produced to D : AF then shall the exterior angle ACD be greater... | |
| Euclides - 1884 - 214 pages
...to one another. Axiom 6. Magnitudes which are double of the same magnitude are equal to one another. **PROPOSITION XVI. THEOREM. If one side of a triangle be produced, the exterior angle** shall be greater than either of the interior opposite angles. In the triangle ABC; GIVEN that BC is... | |
| Stewart W. and co - 1884 - 272 pages
...meeting in one point, are together equal to four right angles. XVL — If one side of a, triangle lie **produced, the exterior angle is greater than either of the interior opposite angles. Let** ABC be a triangle, and let its side BC be produced to D, the exterior angle ACD is greater than either... | |
| Mathematical association - 1884 - 146 pages
...bisected, the bisectors and the base form an isosceles triangle. THEOB. 9. If any side of a triangle is **produced, the exterior angle is greater than either of the interior opposite angles. Let** ABC be a triangle having the side BC produced to D : then shall the exterior angle ACD be greater than... | |
| Canada. Department of the Interior - 1888 - 756 pages
...Lake." Class 11.— Euclid. Time, 2 hours. J KEY. D. GIT.LIKS, BA } REV. AB BAIRD, MA, BD , 1. Show that **if one side of a triangle be produced, the exterior...greater than either of the interior opposite angles.** 2. Make a triangle of which the sides shall be equal to three given straight lines, but any two whatever... | |
| New Brunswick. Board of Education - Education - 1889 - 1004 pages
...above. IF ¿ II. M. GEOMETRY. Time, l hr. SO. min. fiend this Paper before commenci'iig the work. 1. **If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles.** 2. If a straight line, falling upon two other straight lines, make the exterior angle equal to the... | |
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