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" THE angles in the same segment of a circle are equal to one another... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 68
by John Playfair - 1844 - 317 pages
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...BDC. Therefore the angle at the centre, &c. Q; ED PROP. XXI. THEO R. THE angles in the fame fegment of a circle are equal to one another. Let ABCD be a circle, and BAD, BED angK-s in the fame fegment BAED : j he angles BAD, BED are equal to one another. Take F the c.ntrc...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...that the angle EDC is double of the angle DAC, and that EDB a part of the firft is double of DAB apart of the other ; therefore the remaining angle BDC is double of the remaining angle BAC. Therefore the angle at the centre, &c. Q^ED a 5. I. b 32. t. PROP. XXI. THEO R. HTHE angles in the...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...in the firft cafe, that the angle EDC is double of the angle DAC, and that EDB a part of the firft, is double of DAB, a part of the other ; therefore...remaining angle BDC is double of the remaining angle BAC. Therefore the angle at the centre, &.c. Q..ED PROP. XXI. THEO R. r~|~'HE angles in the fame fegment...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...remaining angle BEC 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 See K. equal to one another. Let ABCD be a circle, and BAD, BED angles in the same segment BAED: the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...to E. It may be demonstrated, as in the first case, that the angle EDC is double of the angle DAC, and that EDB, a part of the first, is double of DAB, apart of the other; therefore the remaining angle BDC is double of the remaining angle BAC. Therefore,...
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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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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - Geometry, Plane - 1809 - 522 pages
...double of the excess of BDE above ADE, that is, of the angle ADB at the circumference. 03 PROP. XX. THEOR. The angles in the same segment of a circle are equal. Let ADB be the segment of a circle; the angles AFB, AGB contained in it, or which stand on the opposite...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...angle at the 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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...the remaining angle BEC is double of the remaining angle BDC. Therefore the angle at the centre, &c. PROP. XXI. THEOR. THE angles in the same segment of a circle are See N. equal to one another. Let ABCD be a circle, and BAD, BED angles in the same segment BAED: The...
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