 | John Playfair - 1837 - 332 pagina’s
...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 - 1837 - 410 pagina’s
...; 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 - 1837 - 246 pagina’s
...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... | |
 | Euclides - 1838 - 264 pagina’s
...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...angles. Let ABC be a triangle, and let its side BC be prodaced to D : the exterior angle ACD shall be greater than either of the interior opposite angles... | |
 | Robert Simson (master of Colebrooke house acad, Islington.) - 1838 - 206 pagina’s
...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 - 378 pagina’s
...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... | |
 | John Playfair - 1842 - 332 pagina’s
...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... | |
 | Euclides - 1845 - 546 pagina’s
...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...a triangle, and let its side BC be produced to D. Then the exterior angle ACD shall be greater than either of the interior opposite angles CBA or BAC.... | |
 | Euclid, James Thomson - 1845 - 382 pagina’s
...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... | |
 | Great Britain. Admiralty - 1846 - 128 pagina’s
...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 angle...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. L sF C... | |
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If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 
