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" Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius... "
A Treatise on Higher Trigonometry - Σελίδα 150
των John Bascombe Lock - 1884 - 208 σελίδες
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The quadrature of the circle, or The true ratio between the diameter and ...

James Smith - 1865 - 168 σελίδες
...-~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 circumference...

Trigonometry for Beginners: With Numerous Examples

Isaac Todhunter - 1866 - 216 σελίδες
...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,...

Elementary Trigonometry

James Hamblin Smith - 1870 - 286 σελίδες
...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 radius...

Elements of plane trigonometry

Hugh Blackburn - 1871 - 132 σελίδες
...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 radius...

Rules and Formulæ in Elementary Mathematics. With Notes

Braithwaite Arnett - 1873 - 120 σελίδες
...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 of the angle to...

An easy introduction to chemistry (based upon a First book of chemistry, by ...

Arthur Rigg - 1873 - 282 σελίδες
...each. [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 radius...

The campaigns of Napoleon: Arcola, Marengo, Jena, Waterloo, extr. from ...

Marie Joseph L. Adolphe Thiers - 1873 - 240 σελίδες
...\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 radius...

A Key to Algebra, Μέρος 1

James Hamblin Smith - 1874 - 332 σελίδες
...11 . 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 radius...

The Elements of Greek Acciden() with Philological Notes

Evelyn Abbott - 1874 - 224 σελίδες
...£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 radius...

Elementary Trigonometry

James Hamblin Smith - 1877 - 244 σελίδες
...centre of a circle by an arc equnl to the radius of the circle, as we shall now prove. 28. To shew that the angle subtended at the centre of a circle by an arc equal to the radius of the circle is ilu same for all circles. Let O be the centre of a circle, whose radius...




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