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" THE greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Side 33
av John Playfair - 1819 - 333 sider
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...angle ABC greater than the angle ACB. Therefore the greater side, &c. QED PROPOSITION XIX. THEOREM. The greater angle of every triangle is subtended by the...which the angle ABC is greater than the angle BCA. Then the side AC shall be greater than the side AB. For, if AC be not greater than AB, AC must either...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 sider
...Therefore, if two sides, &c. PROP. XIX. THEOR. — If two angles of a triangle be unequal, the greater angle has the greater side opposite to it. Let ABC be a triangle, of which the angle B is greater than C ; the side AC is likewise greater than AB. For if it be not greater, AC must either...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...the angle ABC greater than the angle ACB. Wherefore, The greater side %c. QED PROP. XIX. THEOR. The greater angle of every triangle is subtended by the...triangle, of which the angle ABC is greater than the angle ACB : the side AC is also greater than the side AB. For, if it be not greater, it must either be equal...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...ACB, much more is /_ ABC > L ACB. Therefore the greater side, &c. PROP. XVIII. THEOR. 19. lEu. The greater angle of every triangle is subtended by the...greater side; or has the greater side opposite to it. If ABC be a ^, of which L ABC > L BCA; then AOAB. BC For AC must be either >, =, or < AB. 1st. If AC...
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The First Book of Euclid's Elements, Simplified, Explained, and Illustrated ...

Euclides - 1847
...ACB; and that as DC is > or < AC, the L BAC is > or < the / ABC. PROP. XIX. THEOR. GEN. ENUN. — The greater angle of every triangle is subtended by the...greater side, or has the greater side opposite to it. PART. ENUN. — Let ABC be a A, of which the Z ABC is > the Z ACB; then the side AC shall be > AB....
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...THEOREM. The greater side of every triangle is opposite to the greater angle. PROP. XIX. THEOREM. The greater angle of every triangle is subtended by the...greater side, or has the greater side opposite to it. PROP. XX. THEOREM. Any two sides of a triangle are together greater than the third side. PROP. XXI....
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...is the angle ABC greater than ACB. Therefore the greater side, etc. QED PROPOSITION XIX. THEOR. The greater angle of every triangle is subtended by the...the angle BCA ; the side AC is likewise greater than tie side AB. For, if it be not greater, AC must either be equal to AB or less than it; it is not equal,...
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The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text ..., Bok 1

Euclides - 1853
...then the side opposite to the greater angle shall be greater than the side opposite to the less angle. Let ABC be a triangle, of which the angle ABC is greater than the angle BCA. Then the side AC shall be greater than the side AB. For if it be not greater, AC A must either be equal...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...the angle abС than a С b. Therefore the greater side, <fee. QED PROPOSITION XIX. — THEOREM. The greater angle of every triangle is subtended by the greater side, or IMS tlie greater side opposite to it. LET abС be a triangle, of which the angle ab С is greater than...
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...side, &c. QED PROPOSITION XIX.— THEOREM. The greater angle of every triangle (А В С) is stdtended by the greater side, or has the greater side opposite to it. Let the angle В be greater than C; then AC shall be greater thanAB. О For, if it be not greater, AC must...
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