| 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... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...angle of the less segment is said to be less, than a right angle.' 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 ; and whim the adjacent angles are txjnal,... | |
| 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 angles are equal... | |
| Euclides - 1853 - 146 pages
...of the less segment is said to be less, than a right angle." COK. — 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 (I, .32.) to the same two ; and when the adjacent angles... | |
| 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... | |
| Euclides - Geometry - 1853 - 334 pages
...the segment less than a semicircle is greater than a right angle. Which was to be proved. COB. — **If one angle of a triangle be equal to the other two** : then it shall be a right angle. 'For let ABC be a triangle, one of the angles of which BAC is equal... | |
| Euclides - 1855 - 262 pages
...is greater than a right angle. Therefore, in a circle, &c. QED Сon. 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 (I. 32) to the same two ; and when the adjacent angles... | |
| Robert Potts - Geometry, Plane - 1860 - 380 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... | |
| Euclides - 1862 - 172 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... | |
| Euclides - 1864 - 448 pages
...in a circle the angle in a semicircle is a right angle ; &c. QED COR. From this it is manliest, 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 ; (l. 32.) and when the adjacent angles... | |
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