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... is the angle subtended at the centre of a circle by an arc whose length is equal to the radius of the circle.
The Essentials of Plane and Spherical Trigonometry - Page 1
by Webster Wells - 1887 - 151 pages
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## The quadrature of the circle, or The true ratio between the diameter and ...

James Smith - Mathematics - 1865 - 168 pages
...-~i2t == 3456, is the circular measure of an angle of 60°; therefore, 3456 = 57-6, is the value of the angle subtended at the centre of a circle by an arc equal to radius. We obtain the same result in the following way : — 360° x 60 — 2 1 600, = the...
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## Trigonometry for Beginners: With Numerous Examples

Isaac Todhunter - Plane trigonometry - 1866 - 216 pages
...fraction of four right angles, which is constant, whatever may be the radius of the circle. 210. Since the angle subtended at the centre of a circle by an arc which is equal to the radius is an invariable angle it may be taken as the unit of angular measurement,...
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## Elementary Trigonometry

James Hamblin Smith - Trigonometry - 1870 - 286 pages
...feet, makes 15 revolutions per minute. How many miles per hour does the end of the sail traverse Î 21. The angle subtended at the centre of a circle by an arc equal to the radius of the circle is the same for all circles. Let 0 be the centre of a circle, whose...
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## Elements of plane trigonometry

Hugh Blackburn - Plane trigonometry - 1871 - 132 pages
...numerical value of an angle, it is more suitable and it is usual to represent the angle by its ratio to the angle subtended at the centre of a circle by an arc equal to the radius. This angle (Chap. i. Prop. i. Cor. 2) is invariable, that is, is the same whatever...
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## Rules and Formulæ in Elementary Mathematics. With Notes

Braithwaite Arnett - Mathematics - 1873 - 120 pages
...The grade, which is the one-hundredth part of a right angle. III. The unit of circular measure, which is the angle subtended at the centre of a circle by an arc equal in length to the radius. DBF. The circular measure of an angle is the number expressing the ratio...
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## An easy introduction to chemistry (based upon a First book of chemistry, by ...

Arthur Rigg - 1873 - 282 pages
...[Arithmetic. See page 9.] [Specimen Page, No. 5.] 14 ON THE MEASUREMENT OF ANGLES. 28. To shew that the angle subtended at the centre of a circle by an arc equal to the radius of the circle if the same for all circles. Let 0 be the centre of a circle, whose...
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## The campaigns of Napoleon: Arcola, Marengo, Jena, Waterloo, extr. from ...

Marie Joseph L. Adolphe Thiers - 1873 - 240 pages
...\Arithmctic. See fage 9.] [Specimen Page, No. 5-] 14 ON THE MEASUREMENT OF ANGLES. 28. To shew tJiat the angle subtended at the centre of a circle by an arc equal to the radius of the circle is the lame for all circles. Let 0 be the centre of a circle, whose...
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## A Key to Algebra, Part 1

James Hamblin Smith - Algebra - 1874 - 330 pages
...8= £2. 18s. ¿4- each. [Arithmetic. See page 9.] 14 Off THE MEASUREMENT OF ANGLES. 28. To shew that the angle subtended at the centre of a circle by an arc equal to the radius nf the circle is the same for all circles. Let 0 be the centre of a circle, whose...
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## The Elements of Greek Acciden() with Philological Notes

Evelyn Abbott - Greek language - 1874 - 224 pages
...£1239 . li . 8 = £2. i%s. 4^. each. : Page, No. 5.] 14 ON -THE MEASUREMENT OF ANGLES. 28. To shew that the angle subtended at the centre of a circle by an arc equal to the radius of the circle it the same for all circlet. Let 0 be the centre of a circle, whose...
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## First B.A. Examination, University of London: A Hand-book to the Study of ...

J. G - 1878 - 408 pages
...the Centesimal or French Method; and the Circular Method, or the system in which the unit of angular measurement is the angle subtended at the centre of a circle by an arc equal to the radius of the circle. Of these three methods the last is the most important and the most...
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