| Education Ministry of - 1882
...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... | |
| Marianne Nops - 1882
...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... | |
| Education, Higher - 1882
...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.... | |
| Joseph Hughes - Education - 1883
...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 - 96 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
...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.... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 400 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...every triangle are together equal to two right angles.** Let ABC be a triangle, and let one of its sides BG be produced to D : the exterior angle A CD shall... | |
| 1886
...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
...from a given point parallel to a given straight line in either direction. PROPOSITION XXXIL THEOREM. **If a side of any triangle be produced, the exterior...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... | |
| University of Cambridge - 1884
...condition ? 2. Any two sides of a triangle are together greater than the third side. 3. If a side of a **triangle be produced, the exterior angle is equal...and the three interior angles of every triangle are** equal to two right angles. 4. If the square described on one of the sides of a triangle be equal to... | |
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