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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 Edinburgh university calendar

Edinburgh univ - 1868
...contained by the whole, and one of the parts, may be equal to the square of the other part. 5. The angles in the same segment of a circle are equal to one another. 6. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting...
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## Elementary Geometry, Volum 2

James Maurice Wilson - 1868
...arc of a circle is half of the angle subtended by the same arc at the centre . . . . . . 11 COR. 1. Angles in the same segment of a circle are equal to one another . . . . . . . . . .12 COR. i. If a circle is divided into any two segments by a chord, the angles in...
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## Examination Papers for Science Schools and Classes

...and triangles upon the same base and between the same parallels are equal to one another. (10.) 23 5. Angles in the same segment of a circle are equal to one another. *6. Divide a" — SaV + 3aV — a6 by a3 — 3a?x + Sax* — ar>. (10.) 7. Solve the equations : —...
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## A Treatise on the Principles and Practice of Levelling: Showing Its ...

Frederick Walter Simms - 1870 - 157 sider
...as compared with its extent, and is deduced from the well-known theorem, that all angles contained in the same segment of a circle are e'qual to one another.* The method is as follows : — Place a theodolite at B and another at C, the two terminations of the...
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## A TREATISE ON THE PRINCIPLES AND PRACTICE OF LEVELLING

FREDERICK W. SIMMS - 1870
...as compared with its extent, and is deduced from the well-known theorem, that all angles contained in the same segment of a circle are equal to one another.* The method is as follows :— Place a theodolite at B and another at 0, the two ter* Euclid, Book III,...
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## The Elements of Plane and Solid Geometry

Henry William Watson - 1871 - 285 sider
...one, and only one, circumference can be drawn (Bk. II. Prop. 5, Cor.) ; let this be BPC. Because the angles in the same segment of a circle are equal to one another, if any point Q, different from P, be taken in the circumference BPC, the angle BQC will be equal to...
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## Mathematical Instruments: Their Construction, Adjustment, Testing ..., Volum 1

John Fry Heather - 1871
...may be accomplished without travelling beyond the limits of the drawing board. By Euclid iii. 36, the angles in the same segment of a circle are equal to one another, and the property demonstrated in this theorem has already been applied in the construction of the centrolinead,...
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## The Elements of Plane and Solid Geometry

Henry William Watson - 1872 - 285 sider
...the exterior angle is double of either of the interior non-adjacent angles. PROPOSITION u. The angks in the same segment of a circle are equal to one another. Let BAC and BDC be angles in the same segment of the Fig. 12. Fig. 13. A ^ -^ DA First let the segment...
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## Elements of geometry, containing the first two (third and fourth ..., Del 2

Euclides - 1872
...AOB is drawn a flat angle, and in fig. 2, AOB is drawn a reflex angle. PROPOSITION XXI. THEOREM. The angles in the same segment of a circle are equal to one another. Fig. 1. Let BAC, BDCb6 angles in the same segment BADC. Then must L BAG = L .BDC. First, when segment...
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## Journal of the Royal United Services Institute for ..., Volum 16,Utgaver 67-69

...circumference upon the same luxe, that in, upon tha same part of the circumference. The 21st proves that the angles in the same segment of a circle are equal to one another. The 22nd proves that the opposite angles of any quadrilateral figure inscribed in a circle are together...
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