 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...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...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... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...reference to the complete demonstration of the steps as given in Euclid. 89 PROPOSITION XVI. Theorem. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. Steps of the Demonstration. I. Prove that (in As EAB, ECF)jba*e ^ = base Fc, 'land ZBAC = Z ACF, 2... | |
 | 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 on your P. '.' £s, acd + a cb= 2... | |
 | John Playfair - Euclid's Elements - 1837 - 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 be produced to D, the exterior angle... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...; and CEB, might with equal case and propriety be made the common angle. In like manner, in prorIF 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... | |
 | Charles Reiner - Geometry - 1837 - 254 pages
...triangle be produced, 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... | |
 | 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...greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be prodaced to D : the exterior angle ACD shall be greater than... | |
 | Euclid - Geometry - 1838 - 470 pages
...number of lines meeting in one point, are together equal to four right angles. PROP. XVI. THEOR. Ir one side of a triangle be produced, the exterior angle...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... | |
 | Robert Simson (master of Colebrooke house acad, Islington.) - 1838 - 206 pages
...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 - Geometry - 1841 - 378 pages
...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... | |
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If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 
