| John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...an equilateral and equiangular pentagon in a given circle. 4. Show how to trisect a right angle. 5. **If a side of any triangle be produced, the exterior...every triangle are together equal to two right angles.** 6. The angles in the same segment of a circle are equal to one another. 7. A circle cuts off chords... | |
| Herbert Spencer - Psychology - 1882 - 722 pages
...case. therefore also the angles CBA, BAC, ACB, are together equal to two right angles. " Therefore **if a side of any triangle be produced, the exterior...and the three interior angles of every triangle are** equal to two right angles. QED" Thus in each step by which the special conclusion is reached, as well... | |
| Mary W I. Shilleto - 1882 - 418 pages
...In Euclid's figure for this proposition, if BG, CF meet in H, show that AH bisects the angle BAG. 2. **If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are** equal to two right angles. Enunciate and prove the corollaries to this proposition. Trisect a right... | |
| Education Ministry of - 1882 - 302 pages
...side. Construct the triangle when each side is equal to half the sum of the other two. SECrION III. 1. **The three interior angles of every triangle are together equal to two right angles.** What ratio does the angle of a regular hexagon bear to a right angle ? 2. Triangles upon the same base... | |
| College of preceptors - 1882 - 528 pages
...any triangle ABO is bisected by Bit, which cuts the base in D ; prove that BO is greater than GD. 4. **The three interior angles of every triangle are together equal to two right angles.** Enunciate the two corollaries of this Proposition, but give the proof of the second corollary only.... | |
| Education, Higher - 1882 - 498 pages
...diagonals of a parallelogram are together equal to the squares of the four sides. 12. If a side of a **triangle be produced the exterior angle is equal to the two interior,** opposite angles ; and the three interior angles of every triangle are together equal to two right angles.... | |
| Marianne Nops - 1882 - 278 pages
...two right angles. SUMMABY OF PROPOSITION XXXII., THEOREM 22.If a side of any triangle be produced (1) **the exterior angle is equal to the two interior and opposite angles,** (2) and the three interior angles of every triangle are together equal to two right angles. I. To show... | |
| Joseph Hughes - Education - 1883 - 578 pages
...shall be greater than the angle contained by the sides equal to them of the other. Euclid, I., 24. 2. **If a side of any triangle be produced, the exterior...every triangle are together equal to two right angles.** Euclid, I., 2. 3. Equal triangles upon the same base and upon the same side of it are between the same... | |
| Euclides - 1883 - 176 pages
...straight lines which meet at a point, these two shall be in the same straight line. PROP. 32. THEOR. **If a side of any triangle be produced, the exterior...every triangle are together equal to two right angles.** Given A ABC having ^ BC produced. To prove L ACD = LA Also, LA + LB + L ACB = 2 Lr-s. C " Through C... | |
| Euclides, James Hamblin Smith - 1883 - 376 pages
...lines in B and C, so that BC may be equal to a given straight line. PROPOSITION XXXII. THEOREM. If a Me **of any triangle be produced, the exterior angle is...interior angles of every triangle are together equal to** tiro right angles. .n Let ABC be a A , and let one of its sides, BC, be produced to D. Then will I.... | |
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