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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

## Calendar of Queen's College and University, Kingston, Canada for the Year ...

Queen's University (Kingston, Ont.) - 1906 - 314 pages
...centre is greater than one more remote. Also the greater chord is nearer the centre than the less. The angle at the centre of a circle is double the angle at the circumference on the same arc. The angles in the same segment of a circle are equal, with converse. The opposite...

## A School Course of Mathematics

David Mair - Mathematics - 1907 - 408 pages
...and the angle at 0 standing on the arc ADB. By means of these terms state the conclusion arrived at. The angle at the centre of a circle is double the angle at the circumference that stands on the same arc, and the angle at the circumference on a given arc is the same for all...

## The Dublin University Calendar, Volume 1

Trinity College (Dublin, Ireland) - 1907 - 534 pages
...parallelogram is equal to that of a rectangle of the same aliitude standing on the same base. 6. Prove that the angle at the centre of a circle is double the angle, at the circumference. 7. Prove that the square on the side opposite an acute angle in a triangle is less than the sum of...

## Practical Calculations for Engineers, for the Use of Engineering Students ...

Charles Edward Larard, Henry Albert Golding - Engineering - 1909 - 506 pages
...the arc of the segment, then the angle at Pj is equal to the angle at P2 (figs. 4A and 4fi). FIG. 4B. The angle at the centre of a circle is double the angle at the circumference when both are formed by lines drawn from the extremities of the same (or an equal) base or arc. Thus, if...

## Annual Report, Volumes 2-3

Civil Service Commission of Canada - Civil service - 1910 - 238 pages
...that the tangent is perpendicular to the radius at the point of contact. SESSIONAL PAPER No. 31 4. The angle at the centre of a circle is double the angle at the circumferenr-e which stands on the same arc; and two angles at the circumference standing on the same...

## Regulations and Courses of Study of the Continuation Schools ...

Ontario. Dept. of Education - 1913 - 128 pages
...centre is greater than one more remote. Also the greater chord is nearer the centre than the less. The angle at the centre of a circle is double the angle at the circumference on the same arc. The angle in the same segment of a circle are equal, with converse. The opposite angles...

## Sessional Papers - Legislature of the Province of Ontario, Volume 6

Ontario. Legislative Assembly - Ontario - 1914 - 998 pages
...centre is greater than one more remote. Also the greater chord is nearer the centre than the less. The angle at the centre of a circle is double the angle at the circumference on the same arc. The angles in the same segment of a circle are equal, with converse. The opposite...

## A Complete Epitome of Practical Navigation, and Nautical Astronomy ..., Volume 1

John William Norie, J. W. Saul - Nautical astronomy - 1917 - 642 pages
...right angles, the centre of the circle is in the straight line which bisects the other. PROPOSITION The angle at the centre of a circle is double the angle at the circumference on the same base, that is, on the same arc. Let ABC be a circle and BEC an angle at the centre, BAC...