| Stewart W. and co - 1884
...point A parallel to the given straight line BC. XXXII. — If a side of any triangle be produced, tht **exterior angle is equal to the two interior and opposite angles; and the three** interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one... | |
| Euclides - 1884
...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 angle is** greater than either of the interior opposite angles. Let be a triangle, and let the side be produced... | |
| Euclides - 1884 - 182 Seiten
...the same figure, prove that the angle F is less than the angle ABC. 52. PROPOSITION XVI. — THEOREM. **If one side of a triangle be produced, the exterior angle is** greater than either of the interior opposite angles. Let ABC be a triangle whose side BC is produced... | |
| 1884
...direct and an indirect demonstration. Define adjacent angles, opposite angles, and alternate angles. Z. **If one side of a triangle be produced, the exterior angle is** greater than either of the interior opposite angles. Prove, without producing a side, that the three... | |
| Euclides - 1884
...less. Postulate 1. A straight line may be drawn from any one point to any other point. Proposition XVI. **If one side of a triangle be produced, the exterior angle is** greater than either of the interior opposite angles. Proposition V. The angles at the base of an isosceles... | |
| University of Cambridge - 1884
...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 angle is** greater than either of the interior opposite angles. 2. Write a short essay on Euclid's twelfth axiom,... | |
| Palaestra Oxoniensis - 1884
...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 angle is** greater than either of the interior opposite angles. By what later proposition in the first book is... | |
| 1885
...second, the angle opposite the first must be greater than that opposite the second. 2. If a side of any **triangle be produced the exterior angle is equal to...the two interior and opposite angles, and the three** interior angles of every triangle are together equal to two right angles. 3. If a parallelogram and... | |
| Oxford univ, local exams - 1885
...When are straight lines in a circle said to be equally distant from the centre ? 2. If a side of any **triangle be produced, the exterior angle is equal...the two interior and opposite angles; and the three** interior angles of every triangle are together equal to two right angles. Enunciate and prove the corollaries... | |
| Lewis Carroll - 1885 - 318 Seiten
...another ; nor can one approach and then recede from another while on the same side of it. 18. (a) If a **side of a Triangle be produced, the exterior angle is equal to** each of the interior opposite angles. [I. 32.] (b) The angles of a Triangle are together equal to two... | |
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