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" The angles in the same segment of a circle are equal to one another. "
Pure Mathematics - Page 272
1874
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 466 pages
...center,&c.Q._E. D. PROP. XXI. THEO R. 'HE angles in the fame fegment of a circle arc equal s«e N. to one another. Let ABCD be a circle, and BAD, BED angles in the fame fegment BAED ; the angles BAD, BED are equal to one another. Take F the center of the circle ABCD....
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 520 pages
...the angle at the center, &c. Q^ED PROP. XXL THEO R. angles in the fame fegment of a circle are qual to one another. Let ABCD be a circle, and BAD, BED angles in the fame fegment BAED : The angles BAD, BED are equal to one another. Take F the center of the circle ABCD...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 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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The Elements of Euclid

Euclid, Robert Simson - Geometry - 1781 - 466 pages
...Thereforetheangleatthecenter,&c. QJLD. PROP. XXI. THEOR. THE angles in the fame fegment of a circle aresie : equal to one another. Let ABCD be a circle, and BAD, BED angles in the fame fegment B AED ; the angles BAD, BED are equal to one another. Take Fthe center of the circle ABCD....
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1804 - 440 pages
...Therefore the angle at the centre, &.c. Q..ED PROP. XXI. THEO R. r~|~'HE angles in the fame fegment of a circle are •*- equal to one another. Let ABCD be a circle, and BAD, BED angles in the fame fegment BAED : The angles BAD, BED are equal to one another. Take F the centre of the circle ABCD...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...center, &c. QJLD. PROP. XXI. THEOR. T HE angles in fhe fame fegment of a circle are See N. equal td one another, Let ABCD be a circle, and BAD, BED angles in the fame fegment B AED; the angles BAD, BED are equal to one another. Take F the center of the circle ABCD....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 311 pages
...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...angles in the same segment BAED ; the angles BAD, BED are equal to each otherTake F, the centre of the circle ABCD. Let the segment BAED be greater than...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...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,...angles in the 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...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory, and N ...

John Mason Good, Olinthus Gilbert Gregory - 1813
...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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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...and the angle BAD at the circumference, and that they have the same part of the circumference, viz. Let ABCD be a circle, and BAD, BED angles in the same segment BAED: The angles BAD, BED are equal to one another. Boos lit. BCD for their base; therefore the angle BFD is double 3 v- "v"...
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