 | Free Church of Scotland. College Committee - 1882 - 142 pagine
...another upon one side of it, are either two right angles, or are together equal to two right angles. 2. If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are together equal to two right angles. 3. The complements of the parallelograms which are about the diameter... | |
 | John Robertson (LL.D., of Upton Park sch.) - 1882 - 152 pagine
...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...and the three interior angles of every triangle are together equal to two right angles. 6. The angles in the same segment of a circle are equal to one... | |
 | Herbert Spencer - 1882 - 722 pagine
...foregoing theorem is inconveniently long. Wo shall find a fitter one in Proposition xxxii. " If the side of any triangle be produced, the exterior angle...and the three interior angles of every triangle are together equal to two right angles. " Let ABC be a triangle, and let one of its sides BC be produced... | |
 | 1882 - 376 pagine
...of the base are equal. Prove this, if you so prefer, by the method of superposition. 2. Prove that the three interior angles of every triangle are equal to two right angles; and that all the interior angles of any rectilineal n'gure, together with four right angles, are equal... | |
 | 1882 - 498 pagine
...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 pagine
...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... | |
 | Euclides - 1883 - 176 pagine
...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...and the three interior angles of every triangle are together equal to two right angles. Given A ABC having ^ BC produced. To prove L ACD = LA Also, LA... | |
 | Joseph Hughes - 1883 - 568 pagine
...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...and the three interior angles of every triangle are together equal to two right angles. Euclid, I., 2. 3. Equal triangles upon the same base and upon the... | |
 | Euclides, James Hamblin Smith - 1883 - 376 pagine
...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...and the three 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... | |
 | 1886 - 568 pagine
...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... | |
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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. 
