 | Education Ministry of - 1882 - 300 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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...the given straight line BG. QEF PROPOSITION 32. THEOREM. If a side of any triangle be produced, tJie exterior angle is equal to the two interior and opposite...angles. Let ABC be a triangle, and let one of its sides BG be produced to D : the exterior angle A CD shall be equal to the two interior and opposite angles... | |
 | Euclides - 1883 - 176 pages
...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 angle is...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... | |
 | Joseph Hughes - Education - 1883 - 568 pages
...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 angle is...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, 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.... | |
 | 1886 - 568 pages
...to find x. EUCLID. FIRST DIVISION. 1. Define a right angle, a circle, a square. 2. If one side of a triangle be produced, the exterior angle is equal...opposite angles, and the three interior angles of any triangle are together equal to two right angles. >. 8. To make a parallelogram equal to a given... | |
 | Euclides - 1884 - 214 pages
...given point parallel to a given straight line in either direction. PROPOSITION XXXIL THEOREM. If a side of any triangle be produced, the exterior angle is...every triangle are together equal to two right angles. In the triangle ABC ; GIVEN that BC is produced to D ; IT is REQUIRED TO PROVE that the angle ACD is... | |
| |
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. 
