 | Euclides - 1865 - 402 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 the adjacent angles are... | |
 | Robert Potts - 1865 - 528 pages
...a circle the angle in a semicircle is a right angle, &c. QE u. 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 the adjacent angles... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...a right angle. "Wherefore, the angle &c. QED COROLLARY. From the demonstration it is manifest that if one angle of a triangle be equal to the other two, it is a right angle. For the angle adjacent to it is equal to the same two angles ; . [I. 32. and when the adjacent angles... | |
 | Robert Potts - 1868 - 434 pages
...in a circle the angle in a semicircle is a right angle ; &c. QED Con. 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 the adjacent angles... | |
 | Henry Major - Student teachers - 1873 - 592 pages
...; and ABC is less than a right angle ; wherefore ADC is greater than a right angle. COROLLARY. — 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 angles are equal,... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 234 pages
...— In a right-angled triangle, the two acute angles tat en together are equal to a right angle; and if one angle of a triangle be equal to the other two, it is a right angle. Cor. 4. — If two angles of a triangle are given, or their Bum, the remaining angle can be found.... | |
 | Edward Atkins - 1874 - 428 pages
...Prop. 32. Therefore, the angle, &c. Q.2.D. COROLLARY. — From this demonstration it is manifest that, if one angle of a triangle be equal to the other two, it is a right angle. For the angle adjacent to it is equal to the same two angles (I. 32). And, when the adjacent angles... | |
 | Euclides - 1874 - 342 pages
...angle. Therefore, in a circle the angle in a semicircle, &c. 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 (I. 32) ; and when the adjacent angles... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...parallelogram having the same altitude and base equal to the sum of the parallel sides of the given figure. 75. If one angle of a triangle be equal to the other two together, the greatest side is double of the distance of its middle point from the opposite angle.... | |
 | Edward Atkins - 1876 - 130 pages
...Prop. 82. Therefore, the angle, &c. QED COROLLARY. — From this demonstration it is manifest that, if one angle of a triangle be equal to the other two, it is a right angle. For the angle adjacent to it is equal to the samo two angles (I. 32). And, when the adjacent angles... | |
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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; and when the adjacent angles are equal, they are right angles. 
