| Euclides - 1840
...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 - 1841 - 351 sider
...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
...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 - 1842 - 317 sider
...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 - 1845 - 199 sider
...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
...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 - 1845 - 352 sider
...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... | |
| John Playfair - 1846 - 317 sider
...; 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 - 1846
....'. 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 - 1846 - 138 sider
...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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