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" The angle at the centre of a circle is double the angle at the circumference on the same arc. "
Practical Calculations for Engineers: For the Use of Engineering Students ... - Page 23
by Charles E. Larard, Henry A. Golding - 1909 - 463 pages
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The Dublin University Calendar, Volume 1

Trinity College (Dublin, Ireland) - 1907 - 536 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...
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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...
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Annual Report, Volumes 2-3

Civil Service Commission of Canada - Civil service - 1910 - 240 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...
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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...
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Sessional Papers - Legislature of the Province of Ontario, Volume 6

Ontario. Legislative Assembly - Ontario - 1914 - 996 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...
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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...
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A Treatise on the Principles and Practice of Harbour Engineering

Brysson Cunningham - Harbors - 1918 - 466 pages
...P falls at the intersection of the two circles. The proof of the construction lies in the fact that the angle at the centre of a circle is double the angle at the circumference (Eu. III. 20). It will be observed that the best condition for determining the point P is when the...
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Excel Preliminary Maths Extension 1

John Compton, Allyn Jones - Juvenile Nonfiction - 2002 - 164 pages
...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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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 the...
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Annual Report of the Public Schools of the Province of British Columbia

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....
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