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" From this it is manifest that if one angle of a triangle be equal to the other two it is a right angle, because the angle adjacent to it is equal to the same two ; (i. "
The Elements of Euclid: In which the Propositions are Demonstrated in a New ... - Page 13
by Euclid - 1776 - 264 pages
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...of the less segment is said to be less, than a right angle." . COR. From this it is manifest, that if one angle of a triangle be equal to the other two, it is a right angle : because the angle adjacent to it is equal to the same two ; (i. 32.) and when...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...semicircle, is greater than a right angle. Wherefore, The angle tyc. QED COR. From this it is manifest, that, if one angle of a triangle be equal to the other two, it is a right angle, because the angle adjacent to it is equal to the same two ; and, when the adjacent...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...angle ; wherefore the other ADC is greater than a right angle. COR. From this it is manifest, that if one angle of a triangle be equal to the other two, it is a right angle, because the angle adjacent to it is equal to the same two ; and when the adjacent...
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Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - Geometry - 1846 - 168 pages
...are equal two and two: therefore EBA and ECA are equal to EAB and EAC, or the whole angle BAC. But if one angle of a triangle be equal to the other two, it must be a right angle (4); therefore BAC, an angle in a semicircle, is a right angle, as stated....
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...trapezium to the 4 angles, is the least, when that point is the intersection of the diameters. 32. If one angle of a triangle be equal to the other two together, it is a right angle. 33. The diameters of a rhombus bisect each other at right angles. 34....
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...trapezium to the 4 angles, is the least, when that point is the intersection of the diameters. 32. If one angle of a triangle be equal to the other two together, it is a right angle. 33. The diameters of a rhombus bisect each other at right angles. 34....
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...angle of the less segment is said to be less, than a right angle.' COB. From this it is manifest, that if one angle of a triangle be equal to the other two, it is a right angle, because the angle adjacent to it is equal to the same two; and when the adjacent...
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The Elements of Euclid [book 1] for beginners, by J. Lowres

Euclides - 1852 - 48 pages
...therefore the three interior angles, CBA, CAB, and ACB, are equal to two right angles. WWD COB. 1. If one angle of a triangle be equal to the other two angles, it is a right angle. COB. 2. A perpendicular may be drawn from the end of a line, by describing...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...angle of the less segment is said to be less, than a right angle. COR. From this it is manifest that if one angle of a triangle be equal to the other two it is a right angle, because the angle adjacent to it is equal to the same two ; and when the adjacent...
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The Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 176 pages
...tchol. 3. 1.47 I. 47, cor. 8. . HYPOTHESES. If any three angles are the internal angles of a triangle. If one angle of a triangle be equal to the other two. If one angle of a triangle be a right angle. Idem If two angles of a triangle are equal. If in any...
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