| Stewart W. and co - 1884 - 272 páginas
...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 - 94 páginas
...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 páginas
...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 - 266 páginas
...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 - 214 páginas
...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 - 624 páginas
...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 - 204 páginas
...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 - 608 páginas
...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 - 358 páginas
...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 páginas
...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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