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" The angles in the same segment of a circle are equal to one another. "
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... - Side 81
av Euclid, Robert Simson - 1829 - 516 sider
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The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

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...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

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...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

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...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

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...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...
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The Elements of Geometry, Symbolically Arranged

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....
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Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

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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