 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
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...the given straight line BC. QEJ?. PROPOSITION 32. THEOREM. If a, side of any triangle lie produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle ar^ together equal to two right angles. Let ABC be a triangle,... | |
 | Robert Assheton Napier - Navigation - 1880 - 132 pages
...elapsed time = 30 minutes = 6 miles = distance from light. Proof—If a side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles; but one interior and opposite angle is already equal to half the exterior angle, therefore the other... | |
 | T S. Taylor - 1880 - 152 pages
...Repeat. — The enunciations of Euc. I. 29. General Enunciation. If a side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles. (Compare this with Euc. I. 16, page 56, which proves that the exterior angle is greater than either... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...whose base is bisected in that point. PROP. 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 anglet oj every triangle are together equal to two right angles. Let ABC be a triangle,... | |
 | John Gibson - 1881 - 302 pages
...third angle of the one equal to the third angle of the other. 4. 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. 5. Describe a parallelogram... | |
 | Herbert Spencer - 1881 - 756 pages
...inconveniently long. We shall find a fitter one in Proposition xxxii. " If the 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 ABC be a... | |
 | Free Church of Scotland. College Committee - Theological seminaries - 1882 - 142 pages
...right angles, or are together equal to two right angles. 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 together equal to two right angles. 3. The complements... | |
 | Mary W I. Shilleto - 1882 - 418 pages
...if BG, CF meet in H, show that AH bisects the angle BAG. 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. Enunciate and prove the... | |
 | Education - 1882 - 676 pages
...enunciation (only) of the twenty-seventh proposition of Book I. 3. 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. Algebra. ¿=4,... | |
 | Herbert Spencer - Psychology - 1882 - 722 pages
...BAC, ACB, are together equal to two right angles. " Therefore 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. QED" Thus in each step by... | |
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