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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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## General Report on Public Instruction in the Bengal Presidency

1863
...alternate angles equal to one another. Trisect (1) a right angle, (2) one-fourth of a right angle. 2. The angles in the same segment of a circle are equal to one another. If two circles cut each other the line joining their centres bisects their common chord ; and the common...
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## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

...the remaining angle BDC. Therefore the angle at the centre, etc. QE o. PROPOSITION XXI. THEOR. The angles in the same segment of a circle are equal to...the angles BAD, BED are equal to one another. Take (1. in.) F, the centre of the circle ABCD : and, first, let the segment BAED be greater than a semicircle,...
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## The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...XXI. — THEOREM, The angles in tlie same segment of a circle are equal to one anotlier. LET abСd be a circle, and bad, bed angles in the same segment...equal to one another. Take f the centre of the circle ab С d : and, first, let the segment baed be greater than a semicircle, and join bf, fd : and because...
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## The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...Therefore, the angle at the centre, &c. . QE.D. ' . . ' - PROP. XXI. — THEOREM. The angles in the sapie segment of a circle are equal to one another. Let ABCD be a circle, and BAJ>, BED, angles in the same segment BAED: the angles BAD, BED, are equal to one another. A First,...
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## The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text ..., Bok 1

Euclides - 1853
...PROP. XXI. THEOE. The angles in the same segment of a circle shall be equal to one another. Let ABC be a circle, and BAD, BED angles in the same segment BAED. Then the angles BAD, BED shall be equal. There are two cases according as the segment BAED is greater,...
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## Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 sider
...reason, the angle BFD is double of the angle BED : therefore the angle BAD is equal to the angle BED. Let ABCD be a circle, and BAD, BED angles in the'...BAED : the angles BAD, BED are equal to one another. But, if the segment BAED be not greater than a semicircle, let BAD, BED be angles in it, these also...
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## Minutes of the Committee of Council on Education

...from a given point, either without or in the circumference, which shall touch a given circle. 9. The angles in the same segment of a circle are equal to one another. 10. If two straight lines cut one another within a circle, the rectangle contained by the segments...
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## National Society's Monthly Paper

1855
...from a given point, either without or in the circumference, which shall touch a given circle. 9. The angles in the same segment of a circle are equal to one another; 10. If two straight lines cut one another within a circle, the rectangle contained by the segments...
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## Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle. 6. The angles in the same segment of a circle are equal to one another. AB and AC are given in position, and BCis of constant length; prove that if PS and PC be drawn making...
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## The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...may be) is double of BAG, the sum or difference of the angles BAT, FAG. LX.— EucLin III. 21. The angles in the same segment of a circle are equal to one another. Let ABCD (Fig. 48) be a circle; BAD, BED angles in the same segment BAE D. The angles BAD, BED are equal. Let...
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