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The angle at the centre of a circle is double the angle at the circumference on the same arc.
Elementary Plane Geometry: Inductive and Deductive - Página 86
por Alfred Baker - 1903 - 144 páginas
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## Excel Preliminary Maths Extension 1

John Compton, Allyn Jones - 2002 - 154 páginas
...MB = 9 Now, DM = BM-MD = 9-5 = 4 MSB 1-3 B3P To Test Yourself go to page 28 EEH Angle properties • The angle at the centre of a circle is double the angle at the circumference standing on the same arc. Given О is the centre , then: ZAOB = 2 x ZACB, or ZACB = } x ZAOB [See Test...
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## Logical Sequence in Plane Geometry

...diameter. seg. The figure bounded by a chord of a circle and either arc cut off by it is called a segment. The angle at the centre of a circle is double the angle at the circumference standing on the same arc. The case of reflex angle is not necessary for the logical sequence nor for...
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## Annual Report of the Public Schools of the Province of British Columbia

...figure. 4. One circle cannot touch another, either externally or internally, in more than one point. 5. The angle at the centre of a circle is double the angle at the circumference, standing on the same arc. 6. About a given circle to describe a triangle, equiangular to a given triangle....
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## An Introduction to Engineering Mathematics

...¿.ADB is said to stand on the arc ACB, whilst ¿.ACB stands on the arc ADB. 173. Proposition 10. An angle at the centre of a circle is double the angle at the circumference standing on the same arc. Let AEB (Fig. 141 (a)) be an arc of a circle of which 0 is the centre, and...
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## The Contents of the Fifth and Sixth Books of Euclid (with a Note on ...

Euclid - 1908 - 167 páginas
...then arc CD : arc EF < - . r .-. CAD : EBF= arc CD : arc EF. [Prop. 13. [Prop. 13. [Art. 46. (ii) An angle at the centre of a circle is double the angle at the circumference standing on the same arc. Hence the ratio of two angles at the centre of the same or of equal circles...
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## The Bombay University Calendar

University of Bombay - 1902
...any chord of the greater circle drawn from the point of contact is b.sected by the lesser circle. 6. The angle at the centre of a circle is double the angle at the circum- 1 3 f erence, when the angles stand on the same arc. Two circles whose centres are A and В...
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