 | 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
...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 BAD, BED shall be equal to one another. First, let the segment BAED be greater than a semicircle; find F the... | |
 | Euclides - 1842 - 316 pages
...Therefore the angle at the centre, &c. QED for the same EUC. B. III. OF GEOMETRY. PROP. XXI. THEOR. THE angles in the same segment of a circle are equal to...ABCD. and, first, let the segment BAED be greater than a semicircle ; draw в F and F D. And because the angle BFD is at the centre, and the angle BAD at... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...other ; therefore the remaining angle BDC is double of the remaining angle BAC. PROP. XXI. THEOR. The angles in the same segment of a circle are equal to...: And, first, let the segment BAED be greater than a semicircle, and join BF, FD : and because the angle BFD is at the centre, and the angle BAD at the... | |
 | Euclid - Geometry - 1845 - 218 pages
...the remaining angle BDC. Therefore the angle at the centre, &c. QED PROPOSITION XXI. THEOR. — The angles in the same segment of a circle are equal to...BAED : the angles BAD, BED are equal to one another. * i. 3. Take* F, the centre of the circle ABCD : and, first, let the segment BAED be greater than a... | |
 | Euclides - 1845 - 546 pages
...of the remaining angle BAC. Therefore the angle at the centre, &c. QKD PROPOSITION XXI. THEOREM. The angles in the same segment of a circle are equal to...circle, and BAD, BED angles in the same segment BAED. Then the angles BAD, BED shall be equal to one another. First, let the segment BAED be greater than... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...the remaining angle BAC. The angle at the centre, therefore, &c.* PROP. XXI. THKOR. — Angles iu tne same segment of a circle are equal to one another....circle, and BAD, BED angles in the same segment BAED : these angles are equal. Take (III. 1) F the centre of the circle ABCD ; and join BF, FD : draw also... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...; therefore the 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...: And, first, let the segment BAED be greater than a semicircle, and join BF, FD : and because the angle BFD is at the centre, and the angle BAD at the... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
....'. 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.... | |
 | Dennis M'Curdy - Geometry - 1846 - 166 pages
...Wherefore, the angle at the centre, &c. QED Recite (a) def. 24, 1 ; (4) p. 5, 1 ; (c) p. 32, 1. 21 Th. The angles in the same segment of a circle are equal to one another. Let BAED be a segment : the angles BAD, BED are equal to one another. 1. If the centre F be in the segment,... | |
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The angles in the same segment of a circle are equal to one another. 
