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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 ... - Página 22
por Euclid, John Playfair - 1804 - 440 páginas
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...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 ACB : the side AC is also greater than the side AB. For, if it be not greater, it must either be equal...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides, Thomas Tate - 1849 - 108 páginas
...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 first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...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 synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...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 geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...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 tie side AB. For, if it be not greater, AC must either be equal to...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J ..., Libro 1

Euclides - 1853
...then the side opposite to the greater angle shall be greater than the side opposite to the less angle. Let ABC be a triangle, of which the angle ABC is greater than the angle BCA. Then the side AC shall be greater than the side AB. For if it be not greater, AC A must either be equal...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...greater angle of every triangle is subtended by the greater side, or hat the greater side opposite to it. Let ABC be a triangle, of which the angle ABC is greater than the angle BC A. The side AC is greater than the side A B. For, if the side AC be not greater than the side AB,...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...greater than another, the side opposite the greater angle is greater than the side opposite the less. Let ABC be a triangle, of which the angle ABC is greater than ACB ; the side AC will be greater than A B. Because the angles at the base of the triangle ABC are...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 páginas
...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. Then the side AC shall be greater than the side AB. A For, if AC be not greater than AB, AC must either...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...greater than the side which is opposite to the less. (References— Prop. i. 5, 18.) Let ABC be any triangle, of which the angle ABC is greater than the angle BCA. Then the side AC shrill be greater than the side AB. For, if AC be not greater than AB, AC must either...
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