 | Henry Major - 1873 - 588 σελίδες
...one point, are together equal to four right angles. XVI. — If one side of a triangle Reproduced, the exterior angle is 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... | |
 | Charles Astor Bristed - 1874 - 632 σελίδες
...EXAMINATION. WEDNESDAY, Jan. 1, 1845. 9. . .11J. [NB The Differential Calculus is not to be employed.] 1. IF one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. a. In equal circles equal circumferences are subtended by equal straight lines. 3. A Turkey carpet,... | |
 | Braithwaite Arnett - 1874 - 130 σελίδες
...EXAMINATION FOR FIRST APPOINTMENTS TO THE CAVALRY AND INFANTRY. May, 1873. EUCLID. (BooK I.) l^hr. 1. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. 2. If two triangles have two angles of the one equal to two angles of the other, each to each, and... | |
 | Euclides - 1874 - 342 σελίδες
...meeting in one point, are together equal to four right angles. PROPOSITION 16. — Theorem. If one lide of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC be a triangle, and let the side BC be produced to D. Then the exterior angle ACD shall be greater... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 σελίδες
...BOK, (Const. ) therefore MN is parallel to AB. (I. 20.) QE jr. PUOP. XXIII.— THEOREM. (Euc. I. 32.) If one side of a triangle be produced, the exterior angle is eqiml to the two interior and remote angles ; and the three interior angles of every triangle are together... | |
 | Francis Cuthbertson - 1874 - 400 σελίδες
...respects, (i. i) Hence ^4 C is = DB. Also iACBis = L DBC, and .-. AC is \\ to BD. (i. 20) PROPOSITION XXIV. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles; also the three interior angles of every triangle are... | |
 | Edward Atkins - 1874 - 426 σελίδες
...right angles, provided that no one of the angles be included in any other angle. Proposition 16. — Theorem. If one side of a triangle be produced, the exterior angle shall be greater than either of the interior opposite angles. Let ABC be a triangle, and let its side... | |
 | Euclides - 1874 - 120 σελίδες
...are in the same straight line. 2. That OK and IIL are at riyht angles to one another. PROPOSITION 16. THEOREM. If one side of a triangle be produced, the exterior angle thull be greater than either of the interior opposite angles. * Let ABC be a triangle, and let one... | |
 | Euclides, James Hamblin Smith - 1876 - 376 σελίδες
...shew hereafter, p. 149, how this definition may be extended, so as to embrace angles greater than two right angles. PROPOSITION XVI. THEOREM. If one side...greater than either of the interior opposite angles. Let the side BO of A ARC be produced to D. Then must L ACD be greater than either L CAB or i. ABC. Bisect... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 σελίδες
...shew hereafter, p. 149, how this definition may be extended, so as to embrace angles greater than two right angles. PROPOSITION XVI. THEOREM. If one side...angle is greater than either of the interior opposite anglet. Let the side BC of A ABC be produced to J>. Then must L ACT) be greater than either L CAB or... | |
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If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 
