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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

British Columbia. Superintendent of Education - 1893
...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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