 | 1836 - 488 σελίδες
...than a right angle; and the angle in a segment less than a simicircle is greater than a right angle. Cor. From this it is manifest, that if one angle of...adjacent to it is equal to the same two ; and when the adjacent angles are equal, they are right angles. XXXI. If a straight line touch a circle, and... | |
 | John Playfair - 1837 - 332 σελίδες
...angles ; and ABC is less than a right angle ; wherefore the other ADC is greater than a right angle. COR. From this it is manifest, that if one angle of...adjacent to it is equal to the same two ; and when the adjacent angles are equal, they are right angles. PROP. XXXII. THEOR. If a straight line touch... | |
 | Andrew Bell - 1837 - 290 σελίδες
...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...adjacent to it is equal to the same two ; and when the adjacent angles are equal, they are right angles. PROPOSITION XXXII. THKOREM. The angles contained... | |
 | Euclid, James Thomson - 1837 - 410 σελίδες
...3. If a triangle have a right angle, the remaining angles. are together 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. The angles at the base of a right-angled isosceles triangle are each half a right angle. Cor.... | |
 | Robert Simson - 1838 - 434 σελίδες
...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 of...adjacent to it is equal to the same two ; and when the adjacent angles are equal, they ate right angles. PROP. XXXII. THEOR. IF a straight line touch... | |
 | Thomas Holliday - 1838 - 404 σελίδες
...8, plate I. Note 1. K—L is called the base, L—M the perpendicular, and K—M the hypothenuse. 2. If one angle of a triangle be equal to the other two, the figure is a rightangled triangle. 3. The squares of K—L and L—M are equal to the square of... | |
 | Euclides - 1841 - 378 σελίδες
...said to be greater, and the angle of the less segment is said to be less, than a right angle." QED COR. From this it is manifest, that if one angle of...because the angle adjacent to it is equal* to the same • 32.1. two; and when the adjacent angles are equal, they are right* angles. »iol>ef. PROP. XXXII.... | |
 | John Playfair - 1842 - 332 σελίδες
...angles ; and ABC is less than a right angle ; wherefore the other ADC is greater than a right angle. COR. From this it is manifest, that if one angle of...adjacent to it is equal to the same two ; and when the adjacent angles are equal, they are right angles. PROP. XXXII. THEOR. If a straight line touch... | |
 | Euclid - 1845 - 218 σελίδες
...said to be greater, and the 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...adjacent to it is equal to the same two ; and when the adjacent angles are equal, they are right angles. PROPOSITION XXXII. BOOK m. PROP. xxxm. ni 32.1.... | |
 | Euclides - 1845 - 546 σελίδες
...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 of...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.) PROPOSITION... | |
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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. 
