| Henry Major - Student teachers - 1873 - 588 pages
...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 pages
...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 pages
...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 pages
...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.) - Geometry - 1874 - 236 pages
...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 - Euclid's Elements - 1874 - 400 pages
...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 pages
...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 pages
...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 - Geometry - 1876 - 376 pages
...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 pages
...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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