| British Columbia. Superintendent of Education - 1893 - 812 pages
...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.... | |
| Anthony Nesbit - Measurement - 1859 - 482 pages
...Theorem ; in consequence of which, it is said, lie offered a hecatomb to the gods. THEOREM VIII. An **angle at the centre of a circle is double the angle at the circumference, when** both stand on the same arc. Let ABC be a circle, and BDC an angle at the centre, and BAG an angle at... | |
| 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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