 | S. M. Saxby - Nautical astronomy - 1861 - 136 pages
...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 to the two interior...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... | |
 | S. M. Saxby - Marine engines - 1862 - 200 pages
...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 to the two interior...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 pages
...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... | |
 | Robert Potts - 1863 - 482 pages
...AB, is equal to twice the line joining C with the middle point of AB. 2. If a side of any triangle be produced, the exterior angle is equal to the two interior...and the three interior angles of every triangle are equal to two right angles. 3. Triangles upon the same base, and between the same parallels, are equal... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...has the greater angle shall be greater than the base of the other. 5. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles j and the three interior angles of every triangle are together equal to two right angles. Add and prove... | |
 | Euclides - 1863 - 74 pages
...afterwards be taken for granted. For instance, when we have once established the truth, that " the interior angles of every triangle are together equal to two right angles," and we afierwards come to a proposition in the demonstration of which we need this established truth,... | |
 | Euclides - 1864 - 448 pages
...parallel to the given straight line BC. QEF PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior angle is equal to the two interior...triangle are together equal to two right angles. Let A BC be a triangle, and let one of its sides B Cbe produced to D. Then the exterior angle A CD shall... | |
 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...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 angle is equal to the two interior...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... | |
 | Education, Higher - 1882 - 498 pages
...perpendicular is at equal distances from the extremities of the line. 7. If a side of a triangle be produced, the exterior angle is equal to the two interior...every triangle are together equal to two right angles. Religious Knowledge. Junior. (a) 2 KINGS ; (6) ST. MARK ; (c) 2 CORINTHIANS ; (d) CHURCH CATECHISM.... | |
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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 together equal to two right angles. 
