| Robert Simson - 1806 - 518 páginas
...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... | |
| John Mason Good - 1813
...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.** Prop. XXXII. Theor. If a straight line touches я circle, an J from the point of contact a straight... | |
| Robert Gibson - 1814 - 508 páginas
...от the angle ADBis less than half a semicircle, and consequently less than a right angle. Fig. У!. **Cor. 4. An angle in a segment less than a semicircle,...be greater than half a semicircle, that is, greater** thai» a right angle. Fig. 2«. / Cor. 5. An angle in a semicircle is a right angle, for the measure... | |
| Euclides - 1816 - 528 páginas
...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... | |
| John Playfair - 1819 - 333 páginas
...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 ; draw CA dividing the circle into... | |
| Robert Gibson - 1821 - 544 páginas
...or 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,...greater than a right angle, for since the arc AEC** tis greater than a semicircle, its half, which is the measure of the angle ABC, must be greater than... | |
| George Watson - 1822 - 4 páginas
...195. In all plane triangles the sum of the three angles is equal to two right angles, or 180 deg. 198. **An angle in a segment less than a semicircle is greater than a right angle.** 197. An angle in a semicircle is a right angle. 199. An angle in a segment greater than a semicircle... | |
| Euclid, Rev. John Allen - 1822 - 494 páginas
...(as ABC), in a segment greater than a semicircle, is less than a right angle; and an angle (as ADC), **in a segment less than a semicircle, is greater than a right angle.** Let E be the centre of the circle, join AE, and produce BA, as to F; and because, in the triangle EAB,... | |
| James Mitchell - 1823 - 576 páginas
...semi-circle, is a right-angle. An angle in a segment, greater than a semi-circle, is less than a right-angle. **An angle in a segment, less than a semi-circle, is greater than a** right-angle. ANGULAR, something relating to, or having angles. ANGULAR Motion,\* that which is performed... | |
| Peter Nicholson - 1823 - 596 páginas
...angle BAD, in a segment greater than a semi-circle, is less than a right angle ; and an angle, BED, **in a segment less than a semi-circle, is greater than a right angle.** Produce AB to F, draw BC to the centre, and, because CA is equal to CB, the angle CBA is equal to CAB... | |
| |