 | James Smith - 1865 - 168 sider
...-~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... | |
 | Isaac Todhunter - 1866 - 216 sider
...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,... | |
 | James Hamblin Smith - 1870 - 286 sider
...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... | |
 | Hugh Blackburn - 1871 - 132 sider
...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... | |
 | Braithwaite Arnett - 1873 - 120 sider
...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... | |
 | Arthur Rigg - 1873 - 282 sider
...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... | |
 | Marie Joseph L. Adolphe Thiers - 1873 - 240 sider
...\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... | |
 | James Hamblin Smith - 1874 - 330 sider
...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... | |
 | Evelyn Abbott - 1874 - 224 sider
...£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... | |
 | James Hamblin Smith - 1877 - 244 sider
...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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Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius... 
