 | Euclides - 1838 - 264 pages
...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 ahull be equal to one another. Take F the centre of the circle,* draw BF, FD, as also... | |
 | 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...the angles BAD, BED shall be equal to one another. First, let the segment BAED be greater than a semicircle; find F the centre of the circle, and join... | |
 | 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...angles in the same segment BAED: the angles BAD, BED are equal to one another. Take F, the centre of the circle ABCD. and, first, let the segment BAED be... | |
 | 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...angles in the same segment BAED : the' angles BAD, BED are equal to one another. Take F the centre of the circle ABCD : And, first, let the segment BAED be... | |
 | 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...angles in the same segment 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... | |
 | 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...angles in the same segment BAED : the angles BAD, BED are equal to one another. Take F the centre of the circle ABCD : And, first, let the segment BAED be... | |
 | 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.... | |
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The angles in the same segment of a circle are equal to one another. 
