 | Peter Nicholson - 1825 - 1046 σελίδες
...angle ; but 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. Let ÀBCD be a circle, of which the diameter is BC, and centre E ; and draw CA, dividing the circle... | |
 | Nathaniel Bowditch - 1826 - 764 σελίδες
...arch DKF, that is, by half a semicircle or by a quadrant ; therefore the angle DEF is a right one. An angle in a segment less than a semicircle is greater than a right angle. Thus 'if GHI be a segment less than a semicircle, the arch GLI on which it stands must be greater than... | |
 | Nathaniel Bowditch - 1826 - 732 σελίδες
...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... | |
 | Euclid - 1826 - 234 σελίδες
...right angle, also that in a segment greater than a semicircle is less than a right angle, and that in a segment less than a semicircle is greater than a right angle, and moreover the angle of a greater segment is greater than a right angle, but that of a less segment... | |
 | Euclides - 1826 - 226 σελίδες
...right angle, also that in a segment greater than a semicircle is less than a right angle, and that in a segment less than a semicircle is greater than a right angle, and moreover the angle of a greater segment ts greater than a right angle, but that of a less segment... | |
 | Robert Simson - 1827 - 546 σελίδες
...right angle ; but 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. Let ABCD be a circle, of which the diameter is BC, and centre E; and draw CA, dividing the circle into... | |
 | Robert Gibson - 1832 - 290 σελίδες
...the angle ADB, is less than half a semicircle, and consequently less than a right angle. ' Fig. 27. Cor. 4. An angle in a segment less than a semicircle...semicircle, its half, which is the measure of the angle ABG, C must be greater than half a semicircle, that is, greater than a right angle. Fig. 28. Cor. 5.... | |
 | Euclid - 1835 - 540 σελίδες
...right angle ; but 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. Let ABCD be a circle, of which the diameter is BC, and centre E ; and draw CA, dividing the circle... | |
 | John Playfair - 1836 - 148 σελίδες
...right angle ; but 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. Let ABCD be a circle, of which the diameter is BC, and centre E ; and draw CA, dividing the circle... | |
 | 1836 - 366 σελίδες
...angle, but 1829 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. 4. If two triangles have the sides about equal angles reciprocally proportional, they are equal. 5.... | |
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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. 
