| EDUCATION SOCIETY'S PRESS, CULLA - 1860
...\ , <z, O\ '4' 3v A ' 4\ K ' 2 ^ 3 6. If a side of any triangle be produced, the exterior nngle ia **equal to the two interior and opposite angles; and the three interior angles of every triangle are** equal to two right angles. Show how the corners of a triangular piece of paper may be turned down,... | |
| Young Men's Christian Associations (London, England) - Christianity - 1860
...a triangle be produced, the exterior angle is equal to the sum of the two angles which subtend it ; **and the three interior angles of every triangle are together equal to two right angles."** One day, when he was busied with the demonstration of this theorem, his father caught him in the act... | |
| John Playfair - Geometry - 1860 - 317 pages
...PROP. XXXII. TIIEOR. If a side of any triangle lie produced, the exterior angle is equal to the tiro **interior and opposite angles ; and the three interior angles of every triangle are** equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the... | |
| John Fellows - Mysteries, Religious - 1860 - 366 pages
...four. Of the geometrical theorems ascribed to Pythagoras, the following are the principal ; that the **interior angles of every triangle are together equal to two right angles;** that the only polygons which fill up the whole space about a given point, are the equilateral triangle,... | |
| Woolwich roy. military acad - 1861
...I0«(s-s1)=*2-s. 9. Find the value of - — --- Q'^— by means of 10o the logarithmic tables. 10. **If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are** equal to two right angles. The angle between the lines bisecting two adjacent exterior angles of any... | |
| S. M. Saxby - Nautical astronomy - 1861 - 112 pages
...whole angle ADB be the double of the angle ACB. Fig. 17. 24. Euc. I. Prop. XXXII. — If any side of a **triangle be produced, the exterior angle is equal...opposite angles; and the three interior angles of** any triangle are equal to two right angles. Fig. 18. !>„ Reference to Prop. XXIX. Book I. will show... | |
| Euclides - 1862
...given straight line BC. QEF PROP. XXXII.— THEOREM. Jf the side of any triangle be produced; then **the exterior angle is equal to the two interior and...every triangle are together equal to two right angles.** (References— Prop. i. 13, 29, 31 ; ax. 2.) Let ABC be a triangle, and let one of its sides BC be... | |
| John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882
...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... | |
| Free Church of Scotland. College Committee - Theological seminaries - 1882 - 113 pages
...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...every triangle are together equal to two right angles.** 3. The complements of the parallelograms which are about the diameter of any parallelogram are equal... | |
| Herbert Spencer - Psychology - 1882
...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... | |
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