Books Books The angle at the centre of a circle is double the angle at the circumference on the same arc. The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ... - Page 128
by Euclides - 1821 ## Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1893 - 814 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.... ## A Treatise on Practical Mensuration

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... ## Logical Sequence in Plane Geometry

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... ## The Contents of the Fifth and Sixth Books of Euclid (with a Note on ...

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... ## The Bombay University Calendar

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... 