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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: Being Chiefly a Selection from Playfair's Geometry - Page 36
by John Playfair - 1829 - 186 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...more is the angle ABC greater than ^ t ACB. Therefore, the greater side, &c. QED PROP. XIX. THEOR. THE greater angle of every triangle is subtended by...opposite to it. Let ABC be a triangle, of which the angle ABC is greater than the angle BCA; the side AC is likewise greater than the side AB. For, if it be...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...more is the angle ABC greater than ACB. Therefore the greater side, &c. QED Book I. PROP. XIX. THEOR. THE greater angle of every triangle is subtended by...greater side, or has the greater side opposite to it. ; i t to it. s Let ABC be a triangle, of which the angle ABC is greater than the angle BCA ; the side...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 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...it. . , Let ABC be a triangle, of which the angle ABC is greater than the angle BCA; the side AC is likewise greater than the ,ide AB. i For, if it be...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 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...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 - 588 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...to it. . Let ABC be a triangle, of which the angle ABC is greater than the angle BCA; the side AC is likewise greater thao the side ABFor, if it be not...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...mortis the angle ABC greater than ACB. Therefore the greater side. &c. Q, ED PROP. XIX. THEOR. Tke greater angle of every triangle is subtended by the...opposite to it. Let ABC be a triangle, of which the angle ABC is -greater than the angle BCA ; the side AC is likewise greater than the side AB. For, if it be...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...angle AC B. Wherefore much more is the angle ABC greater than ACB. Therefore the greater side, &c. QED Proposition XIX. Theorem. The greater angle of every...opposite to it. Let 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...more is the angle ABC greater than ACB. Therefore the greater side/ &e. QED • ~i~ PKOP. XIX. THEOR. The greater angle of every triangle is subtended by...greater side opposite to it. Let ABC be a triangle, of Whieh the angle ABC is greater than thfc Sn;j tt. BCA ; the side AC is likewise greater than the side...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...much 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...opposite to 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...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1832 - 358 pages
...PROP. XIX. THEOR. The greater angle of every triangle ii subtended by the greater side, or has I he greater side opposite to it. Let ABC be a triangle, of which the angle ABC is greater than the angle BCA; the side AC is likewise greater than the side AB. For, if it be...
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