 | Young Men's Christian Associations (London, England) - 1860 - 490 páginas
...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 - 1860 - 334 páginas
...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 - 1860 - 376 páginas
...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 páginas
...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 - 1861 - 136 páginas
...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 páginas
...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... | |
 | S. M. Saxby - 1862 - 200 páginas
...the whole angle ADB be the double of the angle AC B. *28. 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. Eeference to Prop XXIX. Book I. will show that the angle... | |
 | Euclides - 1862 - 140 páginas
...PROPOSITION 32.— THEOREM. If a side of any triangle be produced, the exterior angla in equal to the tiro interior and opposite angles; and the three interior angles of every triangle are equal to two right angles. (References— Prop. I. 13, 29, 31; ax. 1, 2.) Hypothesis. — Let ABC be... | |
 | John Robertson (LL.D., of Upton Park sch.) - 1882 - 152 páginas
...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 - 1882 - 142 páginas
...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. 
