| 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... | |
| Isaac Todhunter - Plane trigonometry - 1866 - 192 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,... | |
| James Hamblin Smith - Trigonometry - 1870 - 224 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... | |
| 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... | |
| Braithwaite Arnett - Mathematics - 1873
...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... | |
| 1873
...[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... | |
| 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... | |
| James Hamblin Smith - Algebra - 1874 - 206 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... | |
| Greek language - 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... | |
| 1878 - 372 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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