 | Euclides - 1860 - 288 pages
...drawn through the given point A parallel to the given straight line BC. PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are equal to two right angles. Given a triangle ABC, having one of its sides BC produced to D ; to prove... | |
 | EDUCATION SOCIETY'S PRESS, CULLA - 1860 - 612 pages
...\ , <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 - 490 pages
...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 - 334 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 - 376 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 - 572 pages
...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 - 136 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 - 172 pages
...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 - 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... | |
 | Free Church of Scotland. College Committee - Theological seminaries - 1882 - 142 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... | |
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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. 
