 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...to E. It may V>e demonstrated, as in the first case, that the angle EDC is double of the angle DAG, and that EDB, a part of the first, is double of DAB,...remaining angle BDC is double of the remaining angle BAG. PROPOSITION XXI. TIIEOREM. The angles in the same segment of a circle are equal to one another.... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...similarly 2 Z GDB = Z GEB, 4. that :. remaining /_ BEC = 2 remaining Z BDC. PROPOSITION XXI. Theorem. The angles in the same segment of a circle are equal to one another. Steps of the Demonstration to Case ^st, In which the segment is > ^ © . 1. Prove that Z BFD = 2 Z... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...remaining angle BEC is double of the remaining angle BDC. Therefore the angle at the centre, &c. QED PROP. XXI. THEOR. THE angles in the same segment of...to one another.* Let ABCD be a circle, and BAD, BED AE angles in the same segment BAED : the angles BAD, BED are equal to one another. Take F the centre... | |
 | Euclid - Geometry - 1838 - 470 pages
...remaining angle BEC is double of the remaining angle BDC. Therefore the angle at the centre, &c. ( l. ED PROP. XXI. THEOR. THE angles in the same segment of a circle are equal to one another.* r. Let ABCD be. a circle, and BAD, BED angles in the same segment BAED : the angles BAD, BED are equal... | |
 | Euclides - 1838 - 264 pages
...the centre, corresponding, stands not upon the same, but upon the opposite part of the circumference. PROP. XXI. THEOR. The angles in the same segment of a circle are ejual to one another. Let A BCD be a circle, and BAD, BED angles in the same segment BAED; these angles... | |
 | Euclides - 1840 - 82 pages
...circle, is double of the angle at the circumference, standing on the same arch. PROP. XXI. THEOR. All angles in the same segment of a circle are equal to one another. PROP. XXII. THEOR. The opposite angles of any quadrilateral figure inscribed in a circle, are together... | |
 | Euclides - Geometry - 1841 - 378 pages
...remaining angle BEC is double of 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 eqv.al to one another. Let ABCD be a circle, and BAD, BED angles in the same segment BAED: the angles... | |
 | Christian - 1843 - 412 pages
...you here seem to confound it. We know that the whole is greater than its part ; and we know, that all the angles in the same segment of a circle are equal to each other. We have intuition and demonstration as grounds of this knowledge ; but is there no ground... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...to E. It may be demonstrated, as in the first case, that the angle EDC is double of the angle DAC, and that EDB, a part of the first, is double of DAB,...remaining angle BDC is double of the remaining angle BAC. 75 PROP. XXI. THEOR. The angles in the same segment of a circle are equal to one another. Let ABCD... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...that .'. rem. Z. BEC = 2 . rem. Z. BAC. Therefore, the angle at the centre, &c. PROP. LVI. THEOR. z \. The angles in the same segment of a circle are equal to one another. Let ABCD be a 0, and Zs BAD, BED in the same segment BAED : then shall L BAD Fig.l. Fig. t. Let F be Cr. of © ABCD.... | |
| |
THE angles in the same segment of a circle are equal to one another... 
