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Boeken Boek 1 - 10 van 180 over Radian is the angle subtended, at the centre of a circle, by an arc equal in length....
" Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius... "
Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ... - Pagina 7
door Woolwich roy. military acad - 1884
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The Quadrature of the Circle; Or, the True Ratio Between the Diameter and ...

1865
...-~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...
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Trigonometry for Beginners: With Numerous Examples

Isaac Todhunter - 1866 - 192 pagina’s
...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 - 1870 - 224 pagina’s
...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...
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Elements of plane trigonometry

Hugh Blackburn - 1871
...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...
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Rules and formulæ in elementary mathematics

Braithwaite Arnett - 1873
...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...
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An easy introduction to chemistry (based upon a First book of chemistry, by ...

Arthur Rigg - 1873
...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...
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The campaigns of Napoleon: Arcola, Marengo, Jena, Waterloo, extr. from ...

Marie Joseph L. Adolphe Thiers - 1873
...\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...
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A key to Algebra, Deel 1

James Hamblin Smith - 1874 - 206 pagina’s
...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...
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The Elements of Greek Acciden() with Philological Notes

1874
...£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...
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Elementary trigonometry

James Hamblin Smith - 1877 - 228 pagina’s
...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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