 | Euclides - 1845 - 546 pages
...BR'C is double 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...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
...other ; 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...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 greater than... | |
 | 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.... | |
 | 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,... | |
 | Euclides - 1846 - 292 pages
...is double of the remaining angle BAC. Wherefore, Tlie angle at the centre %c, QED PROP. XXI. THEOR. The angles in the same segment of a circle are equal to one another. and, first, Let ABCD be a circle, and BAD, BED, angles in the same segment BAED : the angles BAD, BED... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
....-. rem. /. BEC = 2 . rem. /. BAC. Therefore, the angle at the centre, &c. PROP. LVI. THEOR. 21. 3Eu. The angles in the same segment of a circle are equal to one another. c Let F be Cr. of 0 ABCD. fig i 1st Case. Let seg. BAED> semi 0. Join BF, FD: 1:11611 ' \L BAD is at... | |
 | Euclides - 1846 - 272 pages
...angle ACD shall be equal to double of the angle ABD. PROPOSITION XXI. THEOREM. The angles (BAD and BED) in the same segment of a circle are equal to one another. First — Let the segment BAD be greater than a semicircle, and let C be the centre of the circle,... | |
 | Cambridge univ, exam. papers - 1847 - 40 pages
...quadrilateral figure are equal to one another, the diagonals bisect each other at right angles. a. The angles in the same segment of a circle are equal to one another. /3. If gold can be beaten out so thin that a grain will form a leaf of 56 square inches, how many of... | |
 | Thomas Gaskin - Geometry, Analytic - 1847 - 301 pages
...(7T\ / 7T\ 0 ' , p = a sec 0 • 1 9 2/ l V 6) and the angle between them. 8. Prove analytically that the angles in the same segment of a circle are equal to each other. 9. Lp is a normal to a parabola at L the extremity of the latus rectum, meeting the parabola... | |
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The angles in the same segment of a circle are equal to one another. 
