 | 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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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 equal to two right angles. 
