 | 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... | |
 | Euclides - 1848 - 52 pages
...circumference upon the same base, that is, upon the same part of the circumference. PROP. XXI. THEOREM. The angles in the same segment of a circle are equal to one another. PROP. XXII. THEOREM. The opposite angles of any quadrilateral figure inscribed in a circle, are together... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...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 a circle are equal to one another. Let ABCD be a circle, and BAD, BED angles in the same segment BAED: The angles BAD, BED are equal to one... | |
 | John Playfair - Euclid's Elements - 1849 - 332 pages
...other ; therefore the remaining angle BDC is double of the remaining angle BAC. PROP. XXI. THEOR. Th» angles in the same segment of a circle are equal to one another. Let ABCD be a circle, and BAD, BED angles in the same segment BAED : the angles BAD, BED are equal to one... | |
 | 398 pages
...always on the fixed straight line OA. Let this circular arc be moved into the position aOb ; then, since the angles in the same segment of a circle are equal to one another (Euclid, B. iii. Prop. 21), therefore the straight line 4O makes the same angle with the fixed straight... | |
 | 582 pages
...the rectangle contained by the whole and that part, together with the square of the other part. 3. The angles in the same segment of a circle are equal to one another. 4. Upon a given straight line- describe a segment of a circle, which shall contain an angle equal to... | |
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The angles in the same segment of a circle are equal to one another. 
