 | Robert Simson (master of Colebrooke house acad, Islington.) - 1838
...triangle being equal ? 9. What equations result from two right lines intersecting one another ? 10. If the side of a triangle be produced, the exterior angle is greater than either of the interior opposite ones. 1 1. Let A be the gate of a field, and BC a fence on the other side of the field, required the... | |
 | Euclides - 1841 - 351 σελίδες
...at the point where they cut, are together equal to four right angles. PROP. XVI. THEOR. If one ride of a triangle be produced, the exterior angle is greater than either of the interior opposite anijlcs. Let ABC be a triangle, and let its side BC be produced to D, the exterior angle ACD shall... | |
 | Euclides - 1842
...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...greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be produced to D, the exterior angle ACD is greater than either... | |
 | John Playfair - 1842 - 317 σελίδες
...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 be produced to D, the exterior angle... | |
 | Nicholas Tillinghast - 1844 - 96 σελίδες
...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
...QED COR. 1. From this it is manifest, that, if two straight lines cut each other, the angles which they make at the point where they cut, are together...greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be produced to D. Then the exterior angle ACD shall be greater... | |
 | Euclid - 1845 - 199 σελίδες
...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...greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be produced to D, the exterior angle ACD is greater than either... | |
 | Euclid, James Thomson - 1845 - 352 σελίδες
...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 to D ; the exterior angle ACD... | |
 | Euclides - 1846
...any number of 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...greater than either of the interior opposite angles, Let ABC be a triangle, and let its side BC be produced to D : the exterior angle ACD is greater than either... | |
 | Great Britain. Admiralty - 1846
...any number of lines meeting in one pt., are together equal to 4 rt. /_s. PROP. XV. THEOR. 16. lEu. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. Let ABC be a ^\, and the side BC be prod, to D • then the ext. /_ ACD > L CBA or /! BAG, the int. oppo.... | |
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If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 
