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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 ... - Page 33
by Euclid, John Playfair - 1819 - 333 pages
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 518 pages
...than ACB. Therefore the greater side, &.c. QED PROP. XIX. THEOR. THE greater angle of every yiangle is subtended by the greater side, or has the greater...angle BCA; the side AC is likewise greater than the ,ide AB. i For, if it be not greater, AC must A either be equal to AB, or less than it; it is not equal,...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 722 pages
...XVIII. Theor. The greater side of every trianzle is opposite to the rreater angle. Prop. XIX. Theor. The greater angle of every triangle is subtended by the...greater side, or has the greater side opposite to it. . Prop. XX. Theor. Any two sides of a triangle •re together greater than the third side. Prop. XXI....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...ABC greater than ACB. Therefore the greater side, &c. QED PROP, XIX. THEOR. . THE greater angle pf every triangle is subtended by the greater side, or...than the angle BCA; the side AC is likewise greater thao the side ABFor, if it be not greater, AC must' either be equal to AB,or less thao it ; it is not...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...angle of every triangle is subtende iter side, or has the greater side opposite to it. subtended by Let ABC be a triangle, of which the angle ABC is greater...than the side AB. For, if it be not greater, AC must A either be equal to AB, or less than it; it is not equal, because then the angle ABC would be equal...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...is the angle ABC greater than ACB. Therefore the greater side, &c. QED Proposition XIX. Theorem. The greater angle of every triangle is subtended by the...ABC be a triangle, of which the angle ABC is greater thaf the angle BCA ; the side AC is likewise greater than the side AB. For, if it be not greater, AC,...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...more is the angle ABC greater than ACB. Therefore the greater side, &c. Q BD PROP. XIX. THEOR. The greater angle of every triangle is subtended by the...it. Let ABC be a triangle, of which the angle ABC is •5.1. tHyp. • 18. 1. greater than the angle BCA : the side AC shall be greater than the side AB....
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1829 - 516 pages
...much more is the angle ABC greater than ACB. Therefore the greater side, &c. QED PROP. XIX. THEOR. THE greater angle of every triangle is subtended by the...than the side AB. » For, if it be not greater, AC mtjst either be equal to A l5. -or less than it; it is not equal, because then the angle ABC would...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 186 pages
...greater angle of every triangle is subtended by the greater side. ED. PROPOSITION XIX. THEOREM. The greater angle of every triangle is subtended by the...opposite to it, Let ABC be a triangle, of which the angle B is greater than C; the side AC is also greater than AB. For If AC be not greater than AB, it must...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - Euclid's Elements - 1833 - 150 pages
...triangle &c. Which was to be demonstrated. PROPOSITION XIX. THEOREM. — The greater angle in any triangle has the greater side opposite to it, Let ABC be a triangle, of which the angle B is greater than the angle C. The side AC is greater than the side AB. For, if it be not greater,...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...D. PROPOSITION XIX. THEOR. — The greater angle of every triangle is subtended by the greater tide, or has the greater side opposite to it. Let ABC be...angle ABC is greater than the angle BCA : the side AC shall be greater than the side AB. For if it be not greater, AC must either be equal to AB, or less...
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