 | Isaac Todhunter - 1860 - 318 σελίδες
...hence, if r denote the radius of a circle, its circumference is 27rr, where 7r = 3.14159.... 16. Tlie angle subtended at the centre of a circle by an arc which is equal in length to the radius is an invariable angle. B With centre 0 and any raclius OA describe a circle ; let AB be an arc of this... | |
 | 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... | |
 | Isaac Todhunter - 1866 - 206 σελίδες
...diameter; hence if r denote the radius of a circle its circumference is 2irr, where ii = 3-14159265... 209. The angle subtended at the centre of a circle by an arc which is equal in length to the radius is an invariable angle. With centre O and any radius OA describe a circle ; let AB be an arc of this circle... | |
 | Isaac Todhunter - 1866 - 216 σελίδες
...diameter; hence if r denote the radius of a circle its circumference is 2irr, where 71=3-14159265... 209. The angle subtended at the centre of a circle by an arc ichich is equal in length to the radius is an in~ variable angle. With centre O and any radius OA describe... | |
 | Isaac Todhunter - 1868 - 240 σελίδες
...; hence if r denote the radius of a circle its circumference is 2-irr, where 7r=3-14159265... 209. The angle subtended at the centre of a circle by an arc which is equal in length to tJie radius is an invariable angle. With centre O and any radius OA describe a circle ; let AB be an... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Arthur Rigg - 1873 - 282 σελίδες
...[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... | |
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Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius... 
