 The angle in a semicircle is a right angle; the angle in a segment greater than a semicircle is less than a right angle; and the angle in a segment less than a semicircle is greater than a right angle.  The Elements of Euclid - Side 63av Euclid - 1838 - 416 siderUten tilgangsbegrensning - Om denne boken
 | Nathaniel Bowditch - 1826 - 732 sider
...arch DKF, that is, by half a semicircle or by rt quadrant ; therefore the angle DEF is a right one. An angle in a segment less than a semicircle is greater than a right angle. ' J* Thus if GHI be a segment less than a semicircle, the arch GLI on which it stands must be greater... | |
 | Euclides - 1826 - 226 sider
...COROLLARY. Hence it is manifest, when the centre of the circle falls within the triangle, the angle BAC, in a segment greater than a semicircle, is less than a right angle; but when the centre falls on the right line в с, the angle BAC, in a semircircle, is a right angle;... | |
 | Euclid - 1826 - 234 sider
...COROLLARY. Hence it is manifest, when the centre of the circle falls within the triangle, the angle BAC, in a segment greater than a semicircle, is less than a right angle ; but when the centre falls on the right line вс, the angle BAC, in a semrrcircle, is a right angle;... | |
 | Pierce Morton - 1830 - 584 sider
...semi-circumference, that is, by a quadrant. Cor. 2. (Eue. iii. 31 second part of.) The angle, which is in a segment greater than a semicircle, is less than a right angle ; and the angle, which is in a segment less than a semicircle, is greater than a and let the diameters A Qj, QQ, be... | |
 | John Playfair - 1833 - 346 sider
...centre (Cor. 1.3.); wherefore the arch AD is equal to the arch DB ; and therefore the given arch ADB is bisected in D. Which was to be done. PROP. XXXI....ABCD be a circle, of which the diameter is BC, and fcentre E ; draw CA dividing the circle into the segments ABC, ADC, and join BA, AD, DC ; the angle... | |
 | Euclides - 1833 - 304 sider
...angle in a semicircle is a right angle; the angle in a segment greater than a semicircle is an acute angle ; and the angle in a segment less than a semicircle is obtuse. PART 1. The angle in a semicircle is a right angle. Draw a diameter connecting the extremities... | |
 | 1835 - 684 sider
...semi-circum•ference, that is, by a quadrant. Cor. -2. (Eue. iii. 31. second part of.) The angle, which is in a segment greater than a semicircle, is less than a right angle ; and the angle, which is in a segment less than a semicircle, is greater than a • From the Latin word цгайчии,... | |
 | Euclid - 1835 - 540 sider
...AD, DC; the angle in the semicircle BAG is a right angle; and the angle in the segment ABC, which is greater than a semicircle, is less than a right angle ; and the angle in the segment ADC, which is less than a semicircle, is greater than a right angle. Join AE, and produce... | |
 | 1836 - 366 sider
...right angles to the same plane. 3. In a circle the angle in a semicircle is a right angle, but 1829 the angle in a segment greater than a semicircle is...less than a semicircle is greater than a right angle. 4. If two triangles have the sides about equal angles reciprocally proportional, they are equal. 5.... | |
 | 1836 - 488 sider
...circle, the angle in a simicircle is a right angle ; but the angle in a segment greater than a simicircle is less 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 a triangle... | |
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