| John Playfair - Mathematics - 1806 - 320 pages
...the remaining angle BAC. Therefore, the angle at the centre, &;c. QED PROP. XXI. THEOR< THE angles in the same segment of a circle are equal to one another. Let ABCD be a circle, and BAD, BED, angles in the same segment BAED ; the angles BAD, BED are equal... | |
| John Mason Good - 1813 - 714 pages
...upon the same ha.-e, that is, upon the same part of the circumference. Prop, XXI. Theor. The angles in the same segment of a circle are equal to one another. Prop. XXI I. Theor. The opposite angles of any quadrilateial figure described in a circle, are together... | |
| John Gummere - Surveying - 1814 - 398 pages
...of the circumference : thus the angle EEC is double of the angle BAG. Fig- 38. i • 11. The angles in the same segment of a circle are equal to one another : thus the angle BAD is equal to the angle BED ; also the angle BCD is equal to the angle BFD. Fig.... | |
| John Playfair - 1819 - 354 pages
...the remaining angle BAC. Therefore the angle at the centre, &c. Q, ED PROP. XXI. THEOR. The angles in the same segment of a circle are equal to one another. Let ABCD be a circle, and BAD, BED angles in the same segment BAED : The angles BAD, BED are equal... | |
| Euclid, Robert Simson - Geometry - 1821 - 514 pages
...of the remaining angle BDC. Therefore the angle at the centre, &c. QED PROP. XXI. THE OR. THE angles in the same segment of a circle are equal to one another.* Let ABCD be a circle, and BAD, BED angles in the same segment BAED: the angles BAD, BED arc equal to... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...remaining angle BDC. Therefore the angle at the centre, &c. QED Proposition XXI. Tlieorem. The angles in the same segment of a circle are equal to one another. Let ABCD be a circle, and BAD, BED angles in the same segment BAED : The angles BAD, BED are equal... | |
| John Radford Young - Euclid's Elements - 1827 - 246 pages
...rendered it necessary that he should, in the succeeding proposition, demonstrate that " The angles in the same segment of a circle are equal to one another," a proposition which presented two cases requiring separate consideration. It was absolutely necessary... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...conversely ; also, any angles at the circumference are as the arcs upon which they stand cor. 86 (g) Angles in the same segment of a circle are equal to one another 86 (A) The angle in a semicircle is л right angle ; the angle in a segment, which is greater than... | |
| John Martin Frederick Wright - Astronomy - 1831 - 282 pages
...angle. 9. One circumference of a circle cannot cut another in more than two points. 10. The angles in the same segment of a circle are equal to one another. 11. Inscribe a circle in a given triangle. 12. Ratios that are the same to the same ratio, are the... | |
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