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" 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. "
The Principles of Psychology - Página 46
de Herbert Spencer - 1883
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 páginas
...CAB, ABC, are less than two right angles. Therefore, any two angles, &c. 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,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 páginas
...ABC, are less than two right angles. Therefore, any two angles, &c. Q,. ED PROP. XVIII. THEOR. Tfic 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...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 páginas
...demonstrated that BAC, ACB, as also CAB, ABC, are together less than two right angles. br,. 1. c2. PROP. Yil. THEOREM. The greater side of every triangle has the greater angle opposite to it. : also 8reater than tne anSle CAB. From CA' greater than CB, cut oflF CD, equal to A CB, and join BD....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 326 páginas
...also, CAB, ABC, are less than (wo right angles. Therefore, any two angles, u'e. QED PROP. XVm THEOR. The greater side of every triangle has the greater angle; opposite to it. Let ABC be a triangle of whieh the side AC is greater than the side AB ; the angle ABC is also greater...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 346 páginas
...also CAB, ABC, are less than two right angles. Therefore, any two angles, &c. QED PROP. XVIII. THEOR. The greater side of every triangle has the greater angle opposite to if. Let ABC be a triangle of whichthe side AC is greater than the side AB ; the angle ABC is also greater...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 páginas
...opposite angles. XVII. Any two angles of a triangle are together less than two right angles. XVIII. The greater side of every triangle has the greater angle opposite to it. XIX. The greater angle of every triangle is subtended by the greater side, or has the greater side...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 páginas
...be demonstrated, that BAG, ACB, as also CAB, ABC, are less than two right angles. PROPOSITION XVIII. THEOREM. 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 páginas
...demonstrated, that BAC, ACB as also CAB, ABC, are less than two right angles. PROP. XVIII. THEOR.' 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...
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Proceedings

Scotland free church, gen. assembly - 1847 - 554 páginas
...greater side BA, and it has been shewn to be greater than ВАС, opposite the less side BC. Wherefore, the greater side of every triangle has the greater angle opposite to it. 2. Let ABC be a triangle, the 3 interior angles are together equal to 2 right angles; viz., ABC. +...
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 444 páginas
...QED Cor. Any two angles of a triangle are together less than two right angles. PROPOSITION XI. — THEOREM. The greater side of every triangle has the greater angle opposite to it. If the side AC of the AABC be ^ the side AB, the /.ABC -will be ^- the /.ACB. For make ADirAB, and...
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