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" If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Page 28
by Robert Simson - 1806 - 518 pages
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Pure mathematics, Volume 1

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. —...
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Five Years in an English University

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,...
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

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...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

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...
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Euclidian Geometry

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...
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Elements of Euclid Adapted to Modern Methods in Geometry

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...
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Elements of geometry, based on Euclid, books i-iii

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...
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The Pupil teacher, a monthly educational journal. H. Major, ed

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...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

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...
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The Teachers' assistant and pupil teachers' guide, Volume 1

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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