| Edward Atkins - 1874 - 428 pages
...If one side of a, triangle be jrroduced, the exterior angle shall be greater tlian eitlier of t/ie **interior opposite angles. Let ABC be a triangle, and...its side BC be produced to D. The exterior angle ACD** shall be greater than either of the interior opposite angles CBA, BAC. Mako A // CONSTRUCTION. —... | |
| 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 - 120 pages
...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 side BC be '• produced to D: the exterior angle ACD shall be greater than either of the interior... | |
| 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... | |
| 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... | |
| Edward Atkins - 1876 - 130 pages
...S-/BAK. Proposition 16. — Theorem. If one side of a triangle be produced, the exterior angle shall be **greater than either of the interior opposite angles....its side BC be produced to D. The exterior angle ACD** shall be greater than either of tho ^ If interior opposite angles CBA, BAG. CONSTRUCTION. — Bisect... | |
| Henry Major - 1876 - 784 pages
...the base, equal to one another, and likewise those which are terminated in the other extremity. 2. **If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles.** 3. Any two exterior angles of a triangle are together greater than two right angles. PDPIL TEACHERS... | |
| Euclides, James Hamblin SMITH - 1876 - 382 pages
...definition may be extended, so as to embrace angles greater than two right angles. PROPOSITION XVI. THEOREM. **If one side of a triangle be produced, the exterior...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... | |
| 1876 - 400 pages
...rhombus each of whose sides is equal to that line, by the method employed in the first proposition. 2. **If one side of a triangle be produced ; the exterior angle is greater than either of the interior** and opposite angles. Prove this for both the interior angles. COMPOSITION.— Write notes of a lesson... | |
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