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" Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius... "
First B.A. Examination, University of London: A Hand-book to the Study of ... - الصفحة 308
بواسطة J. G - 1878 - عدد الصفحات: 372
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The quadrature of the circle, or The true ratio between the diameter and ...

James Smith - 1865 - عدد الصفحات: 168
...-~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...

Trigonometry for Beginners: With Numerous Examples

Isaac Todhunter - 1866 - عدد الصفحات: 216
...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 - عدد الصفحات: 286
...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...

Dublin examination papers

Dublin city, univ - 1871 - عدد الصفحات: 366
...mixed number 8.17 +^7.92 is. a perfect square; extract its root. 1 1 . Assuming the known value of iT, calculate to the nearest integer the number of seconds in the angle whose subtending circular arc = the radius of the cirle. 1 i. Investigate, by any method, in its surd...

Elements of plane trigonometry

Hugh Blackburn - 1871 - عدد الصفحات: 132
...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...

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

Arthur Rigg - 1873 - عدد الصفحات: 282
...[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...

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

Marie Joseph L. Adolphe Thiers - 1873 - عدد الصفحات: 240
...\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...

Rules and Formulæ in Elementary Mathematics. With Notes

Braithwaite Arnett - 1873 - عدد الصفحات: 120
...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...

A Key to Algebra, الجزء 1

James Hamblin Smith - 1874 - عدد الصفحات: 330
...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...

The Elements of Greek Acciden() with Philological Notes

Evelyn Abbott - 1874 - عدد الصفحات: 224
...£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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