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" THE greater angle of every triangle is subtended by the greater side, or has the 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... "
Elements of Geometry;: Containing the First Six Books of Euclid, with a ... - Page 22
by John Playfair, Euclid - 1804 - 440 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
...angle of every triangle is fubtended by the greater fide, o'r has the greater fide oppofite to if. Let ABC be a triangle of which the angle ABC is greater thart the angle BCA. the fide AC is likewife greater thau the fide 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 Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...greater angle of every triangle is fubtended by the greater fide, or has the greater Jide oppofite to it. Let ABC be a triangle of which the angle ABC...greater, AC muft either be equal to AB, or lefs than h. it is not equal, becaule then the angle ABC would be eqnal • to the angle ACB ; but it is not...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...greater angle of every triangle is fubtended by the greater fide, or has the greater fide oppofite to it. Let ABC be a triangle, of which the angle ABC...angle BCA ; the fide AC is likewife greater than the lide AB. For, if it be not greater, AC muft either be equal to AB, or lefs than it ; it is not equal,...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...greater angle of every triangle is fubtended by the greater fide, or has the grcatei Jide ojppofite to it. Let ABC be a triangle, of which the angle ABC...than the angle BCA ; the fide AC is likewife greater tuan the fide AB. For, if it be not greater, AC muft either be equal to AB. or left than it ; it is...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...greater angle of every triangle is fubtended by the greater fide, or has the greater Jide oppofite to it. Let ABC be a triangle of which the angle ABC...it is not equal, becaufe then the angle ABC would be equal » to the angle ACB ; but it . ^ act is not j therefore AC is not equal to AB. neither is...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...greater angle of every triangle is subtended by the greater side, or has the 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 not greater, AC must A either be equal...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...greater angle pf every triangle is subtended by the greater side, or has the 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 thao the side ABFor, if it be not greater, AC must' either be equal to...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...greater angle of every triangle is subtended by the greater side, or has the 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 not greater, AC must either be equal to...
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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 angle BCA; the side AC is likewise greater than the side AB. For, if it be not greater, AC must A either be equal...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...greater angle of every triangle is subtended by the greater side, or has the greater side 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 not greater, AC,...
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