 | John Playfair - Euclid's Elements - 1837 - 332 pages
...and opposite angles ; and the three interior angles of every triangle are equal to two rightfmgles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the exteripr angle ACD is equal to the two interior and opposite angles CAB, ABC ; and the three... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...to that which is described by either extremity of the base.* BOOK I. PROP. XXXII. THEOR. IF a side of any triangle be produced, the exterior angle is equal to the two interior and remote angles ; and the three interior angles of every triangle are together equal to two right angles.... | |
 | Charles Reiner - Geometry - 1837 - 246 pages
...the exterior angle is greater than either of the interior and opposite angles. 7. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles. 8. If each of the sides of a triangle be produced, the three exterior angles are, together, equal to... | |
 | Andrew Bell, Robert Simson - Euclid's Elements - 1837 - 290 pages
...A parallel to the given straight line BC. PROPOSITION XXXII. THEOREM. If a side of any triangle he produced, the exterior angle is equal to the two interior and opposite angles ; and vie three interior angles of every triangle are equal to two right angles. Let ABC he a triangle, and... | |
 | Euclides - 1838 - 264 pages
...point A, parallel to the given straight line BC. Which was to be done. PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior angle is...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... | |
 | Euclides - Geometry - 1841 - 378 pages
...point A, parallel to the given straight line BC. Which was to he done. . PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior angle is...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... | |
 | Euclides - 1842 - 316 pages
...through the given point A parallel to the given straight line в c. QEF PROP. XXXII. THEOR. IF a side of any triangle be produced, the exterior angle is...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, вc be produced to D; the... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...drawn through the given point A parallel to the given straight line BC. PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior angle is...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... | |
 | Scotland free church, gen. assembly - 1847 - 554 pages
...FIRST CLASS-GEOMETRY. 1. The greater side of every triangle has the greater angle opposite to it. 2. The three interior angles of every triangle are together equal to two right angles. 3. Parallelograms upon equal bases, and between the same parallels, are equal. 4. If a straight line... | |
 | sir William Cathcart Boyd - 1843 - 444 pages
...solid to four. Of the geometrical theorems ascribed to him, the following are the principal : that the interior angles of every triangle are together equal to two right angles ; that the only polygons which will fill up the whole space about a given point, are the equilateral... | |
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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. 
