 | 18 pages
...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... | |
 | Euclid - Euclid's Elements - 1908 - 196 pages
...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... | |
 | University of Bombay - 1902 - 1102 pages
...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... | |
 | 288 pages
...¿.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 angle at the centre of a circle is double the angle at the circumference on the same arc. 
