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
| 1876 - 710 pages
...that the opposite vertical angles are equal to each other. 2. If one side of a triangle be produced the exterior angle is equal to the two interior and opposite angles. How many degrees are there in the angle of an equilateral decagon. 3. Enunciate the propositions in... | |
| Edwin T. Olver - 1879 - 158 pages
...manufactured. EUCLID. (OPTIONAL.)— Time allowed 1| hour. 1. 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. 2. In every triangle,... | |
| Moffatt and Paige - 1879 - 474 pages
...been drawn parallel to B C. 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 ABC be a triangle.... | |
| Euclides - 1879 - 146 pages
...position an equilateral triangle. 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 equal to two right angles. Let ABC be a A, and let... | |
| Edward Harri Mathews - 1879 - 94 pages
...sides of a triangle is less than the third side. Section II. 1. 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. Prove also that... | |
| W J. Dickinson - Geometry - 1879 - 44 pages
...ABC, so that DE is equal to the difference of BD and CE. 32. 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. If the straight... | |
| Joseph Wollman - 1879 - 120 pages
...and opposite angles. Prove this ; and say why it is necessary to do so, since it is afterwards shown that the exterior angle is equal to the two interior and opposite angles. 2. If a straight line meets two parallel straight lines, what do you know about the interior angles... | |
| Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...of projection of the points of successive impacts. EUCLID. 1. If a side of a 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. A is the greatest... | |
| 1880 - 160 pages
...another, the vertical, or opposite, angles shall be equal. (iv.) 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. (v.) Parallelograms... | |
| Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...prove that AE = ED and that BE = EC. D PROP. XXXII. THEOREM. // a aide 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 triangle,... | |
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