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" The angles in the same segment of a circle are equal to one another. "
The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ... - Page 59
by Āryabhaṭa - 1878
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 320 pages
...is double of the remaining angle BAC. 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...
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An apology for the Bible, in a series of letters addressed to T. Paine ...

Richard Watson (bp. of Llandaff.) - 1808 - 156 pages
...you here seem to confound it. We know that the whole is greater than its part ; and we know that all the angles in the same segment of a circle are equal to each other — we have intuition and demonstration as grounds of this knowledge; but, is there no ground...
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Pantologia. A new (cabinet) cyclopŠdia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...circumference, upon the same ha.-e, that is, upon the same part of the circumference. Prop, XXI. Theor. The angles in the same segment of a circle are equal to one another. Prop. XXI I. Theor. The opposite angles of any quadrilateial figure described in a circle, are together...
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - Surveying - 1814 - 398 pages
...same part of the circumference : thus the angle EEC is double of the angle BAG. Fig- 38. i • 11. The angles in the same segment of a circle are equal to one another : thus the angle BAD is equal to the angle BED ; also the angle BCD is equal to the angle BFD. Fig....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...is double of the remaining angle BAC. Therefore the angle at the centre, &c. Q, ED 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...
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Two Apologies: One for Christianity, in a Series of Letters Addressed to ...

Richard Watson - Apologetics - 1820 - 498 pages
...you here seem to confound it. We know that the whole is greater than its part— and we know that all the angles in the same segment of a circle are equal to each other — w$ have intuition and demonstration as grounds of this knowledge ; but is there no ground...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...is double of the remaining angle BDC. Therefore the angle at the centre, &c. QED PROP. XXI. THE OR. 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 arc equal to one...
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Rational Amusement for Winter Evenings, Or, A Collection of Above 200 ...

John Jackson (Private teacher of the mathematics.) - Geographical recreations - 1821 - 140 pages
...would make up the whole circle. The above construction evidently depends upon Euclid, III. 21 ; viz, ."The angles in the same segment of a circle are equal to one another.'' 33. See plate III. Jig. 24. Suppose A, B, and C, the three given points. With the centre A, aźd radius...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...double of the remaining angle BDC. Therefore the angle at the centre, &c. QED Proposition XXI. Tlieorem. 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...
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Elements of Geometry: With Notes

John Radford Young - Euclid's Elements - 1827 - 228 pages
...propositions, has rendered it necessary that he should, in the succeeding proposition, demonstrate that " The angles in the same segment of a circle are equal to one another," a proposition which presented two cases requiring separate consideration. It was absolutely necessary...
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