 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.  Science Examination Papers - Page 243by Great Britain. Education Department. Department of Science and Art - 1899Full view - About this book
 | Woolwich roy. military acad - 1861 - 572 pages
...- — --- Q'^— by means of 10o the logarithmic tables. 10. 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. The angle between the lines... | |
 | 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 opposite angles ; and the three interior angles of every triangle are together equal to two right angles. (References—... | |
 | S. M. Saxby - Marine engines - 1862 - 200 pages
...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 and opposite angles ; and the three interior angles of any triangle are equal to two right angles. Eeference to Prop XXIX. Book... | |
 | Robert Potts - 1863 - 482 pages
...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 opposite angles ; and the three interior angles of every triangle are equal to two right angles. 3. Triangles upon the same... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...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 - 1864 - 448 pages
...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 and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Let A BC be a triangle,... | |
 | Robert Potts - 1865 - 528 pages
...to the given straight line B CQEF PROPOSITION XXXII. THEOREM. lf 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. Let AB C be a triangle,... | |
 | Alfred Challice Johnson - Plane trigonometry - 1865 - 166 pages
...makes the alternate angles equal to one another. (Eue. I., 29.) 6. If a side of a triangle he produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles are equal to two right angles, or 180°. (Eue. L, 32.)* 7. The square upon... | |
 | Euclides - 1865 - 402 pages
...introduction to the analytical method. Thus, take for example i. 32, in which we are required to prove that the exterior angle is equal to the two interior and opposite angles. First, draw the line CE, assuming that it divides the exterior angle into parts that are respectively... | |
 | J. F. H. de Rheims - Geometrical drawing - 1865 - 336 pages
...together equal to two right angles. Prop. 32. — Theorem. If one 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. Prop. 34. — Theorem. The... | |
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