 | Charles Reiner - Geometry - 1837 - 246 pages
...the word " therefore," and the sign V for the word " because." Express Nos. 4 and 5 in words. P. — If one side of a triangle be produced, the exterior angle is greater than either of the interior and opposite angles. M. — Write the demonstration of this truth... | |
 | Euclides - 1838 - 264 pages
...opposite angle is mentioned, an angle non-aitjactnt to the former is always meant. PROP. XVI. THEOR. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be... | |
 | Euclides - Geometry - 1841 - 378 pages
...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 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 triangle,... | |
 | Euclides - 1842 - 316 pages
...ther equal (13.1.) to two right angles ; ^\ and CEA, AED have been demonstrated D PROP. XVI. THEOR. IF one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...of straight lines meeting in one point, are together equal to four right angles. PROP. XVI. THEOR. If one side of a triangle be produced, the exterior angle is greater than either of the interior, and opposite angles. Let ABC be a triangle, and let its side BC... | |
 | Nicholas Tillinghast - Geometry, Plane - 1844 - 108 pages
...being both perpendicular to the same line, are parallel to each other (Prop. 10, Cor. 2). PROP. XII. THEOREM. , If one side of a triangle be produced, the exterior angle, so formed, will be equal to the sum of the two interior opposite angles. Let the side AB, Fiff' 14'... | |
 | Euclides - 1845 - 546 pages
...any number of lines meeting in one point, are together equal to four right angles. PROPOSITION XVI. THEOREM. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...AED and BEC might be inferred from the 13th proposition, and the third axiom. PROP. XVI. THEOR. — If one side of a triangle be produced, the exterior angle is greater than either of the interior remote angles. Let ABC be a triangle, and let its side BC be produced... | |
 | Euclid - Geometry - 1845 - 218 pages
...of lines meeting in one point, are together equal to four right angles. PROPOSITION XVI. THEOR. — If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be... | |
 | London univ - 1846 - 326 pages
...HEAVISIDE. 2. Prove that any two sides of a triangle are together greater than a third side. 3. If a side of a triangle be produced, the exterior angle is equal to the two interior opposite angles, and the three interior angles of every triangle are equal to two right angles. Prove... | |
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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. 
