 | Euclides - 1853 - 146 pages
...to be greater, and the angle 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...right angle, because the angle adjacent to it is equal (I, .32.) to the same two ; and when the adjacent angles are equal, they are (I. Def. 10.) right angles.... | |
 | 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... | |
 | 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... | |
 | John Playfair - Geometry - 1855 - 334 pages
...; and ABC is less than a right angle ; wherefore the other ADC is greater than a right angle. Coa. From this it is manifest, that if one angle of a triangle...adjacent to it is equal to the same two ; and when the adjacent angles are equal, they are right anles. •T*"*'V i^ PROP. XXXII. THEOR. Jf a straight... | |
 | Euclides - 1855 - 270 pages
...segment ADС less than a semicircle 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...angle : because the angle adjacent to it is equal (I. 32) to the same two ; and when the adjacent angles are equal (I. Dcf. 10) they are right angles.... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...a right angle. • Therefore, 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...the angle adjacent to it is equal to the same two ; (I. 32.) and when the adjacent angles are equal, they are right angles. (l. def. 10.) PROPOSITION... | |
 | Euclides - 1860 - 288 pages
...and ABC is less than a right angle ; wherefore the other ADC is greater than a right angle. COB. — From this it is manifest, that if one angle of a triangle lie equal to the other two, it is a right angle, because the angle adjacent to it is equal to the same... | |
 | Euclides - 1862 - 172 pages
...segment is said to be greater, and the angle of the less segment is said to be less than a right angle.' Cor. — From this it is manifest that if one angle...the angle adjacent to it is equal to the same two ; (i. 32) and when the adjacent angles are equal, they are right angles, (i. def. 10.) PROP. XXXII.... | |
 | Euclides - 1862 - 140 pages
...a right angle. Conclusion. — 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 same two angles; (I. 32.) And when the adjacent angles... | |
 | Euclides - 1863 - 122 pages
...segment ADC less than a semicircle is greater than a right angle. Therefore, in a circle, &c. QED C, ,r ,—From this it is manifest that if one angle of a triangle he equal to the other two, it is a right angle: because the angle adjacent to it is eqnal (I. 32) to... | |
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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 ate right angles. 
