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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 first six books of the Elements of Euclid, with numerous exercises - Page 13
by Euclides - 1853 - 147 pages
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

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...
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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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The Elements of Euclid, containing the first six books, with a selection of ...

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...
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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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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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Pure mathematics, Volume 1

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

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

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

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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