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" Theorem. The greater side of every triangle is opposite to the greater angle. Let ABC be a triangle of which the side AC is greater than the side AB ; the angle ABC is also greater than the angle BCA. Because AC is greater than AB, make... "
Elements of geometry and mensuration - Page 22
by Thomas Lund - 1854 - 192 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...therefort any two angles, &c. Q^ED PROP. XVIII. THEOR. HE greater fide of every triangle is oppofite to the greater angle. Let ABC be a triangle of which the fide AC is greater than the fide AB; the angle ABC is alfo greater than the angle BCA. Becanfe AC is...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...Therefore any two angles, &c. Q^ED PROP. XVIII. THEO R. 'TiHE greater ftde of every triangle is oppofite to the '* greater angle. Let ABC be a triangle, of which the fide AC is greater than the fide AB ; the angle ABC is alfo greater than the angk BCA. Becaufe AC is...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...Therefore any two angles, &c. QED PROP. XVIII. THEO R. THE greater fide of every triangle is oppofite to the greater angle. Let ABC be a triangle, of which the fide AC is greater than the fide AB ; the angle ABC is alfo greater than the angle BC A. B:caufe AC...
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The Monthly review. New and improved ser, Volume 26

1798 - 618 pages
...be true that any two sides of a triangle are greater than the third, neither could it be true that the greater side of every triangle is opposite to the greater angle, nor that the equal sides are opposite to equal angles, nor, lastly, that things equal to the same thing...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...Therefore any two angles, &c. QED T PROP. XVIII. THEOR. I HE greater fide of every triangle is oppofitc to the greater angle. Let ABC be a triangle, of which the fide AC is greater than the fide AE ; the angle ABC is alfo greater than the angle BCA, Becaufe AC...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...therefore any two angles, &c. Q^ED PROP. XVIII. THEOR. THE greater fide of every triangle is oppofite to the greater angle. Let ABC be a triangle of which the fide AC is greater than the fide AB ; the angle ABC is alfo greater than the angle BCA. Becaufe AC...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...also CAB, ABC, are less than two right angles. Therefore, any two angles, &c. QED PROP. XVIII. THEOR. THE greater side of every triangle is opposite to the greater angle. Let ABC be a triangle, of which A the side AC is greater than the side AB ; the angle ABC is also greater than the angle BCA. , \ n...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...QED PROP. XVIII. THEOR. i THE greater side of every triangle has the greater angle opposite to it. Let ABC be a triangle, of which the side AC is greater than the side AB ; the angle ABC is also greater, than the angle BCA. From AC, which is greater than AB, cut offa AD...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...less than two right angles. Therefore any two angles, Sec. QED PROP. XVIII. THEOR. THE greater side,of every triangle is opposite to the greater angle. * * * Let ABC be a triangle, of which ihe side AC is greater than the side AB; the angle ABC is also greater than the angle BCA. Because...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - Mathematics - 1811 - 406 pages
...shown that the outward angle ABG, or its equal CBD, is greater than the other angle A. 5TB THEOREM IX. THE Greater Side, of every Triangle, is opposite to the Greater Angle ; and the Greater Angle opposite to the Greater Side. Let ABC be a triangle, having the side AB greater...
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