 | Isaac Todhunter - 1866 - 216 σελίδες
...shall find that — = 57-29577951...; this therefore IT is the number of degrees contained in the angle which is subtended at the centre of a circle by an arc equal to the radius. 212. Thus there are two methods of forming an idea of the magnitude of an angle which... | |
 | Braithwaite Arnett - 1873 - 120 σελίδες
...DBF. The circular measure of an angle is the number expressing the ratio of the angle to the angle subtended at the centre of a circle by an arc equal in length to the radius. If at the centre of a circle of radius r an angle be subtended by an arc, whose length... | |
 | Isaac Todhunter - 1874 - 360 σελίδες
...shall find that = 57 '29577951...; this ÎT therefore is the number of degrees contained in the angle which is subtended at the centre of a circle by an arc equal to the radius. 19. Thus there are two methods of forming an idea of the magnitude of an angle which... | |
 | James Hamblin Smith - 1877 - 244 σελίδες
...a unit of angular measurement we may take any angle whose magnitude is invariable. Such an anglo is that which is subtended at the 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... | |
 | Clement Mackrow - 1879 - 552 σελίδες
...degree. Answer : 24-2708 degrees. THE CIRCULAR MEASURE. 1st. The unit of circular measure is an angle which is subtended at the centre of a circle by an arc equal to the radius of that circle. Such an angle is equal to 2 right angles = _^80°_ = 57,0.29.8) near]y... | |
 | R. M. Milburn - 1880 - 116 σελίδες
...angle is the numerical ratio its subtending arc radius 7. The unit of Circular Measure is the angle subtended at the centre of a circle by an arc equal in length to the radius = i-?-=570-2957795=2o6264"-8. 7T log 57-2957795 = 1-7581226; log 206264-8=5-3144251. 8.... | |
 | 1883 - 536 σελίδες
...HYDROSTATICS. 1. Prove that the circumference of a circle varies as its radius. Hence show that the angle subtended at the centre of a circle by an arc equal in length to the radius is an invariable angle., and find its value in degrees. 2. The angles of a triangle are... | |
 | Thomas Grenfell Vyvyan - 1882 - 150 σελίδες
...; that is when P= 2-nr, A = Trr*. The area of a circle of radius r is therefore Trr2. 68. The angle subtended at the centre of a circle by an arc equal in length to the radius is constant. Let the arc AB be equal to the radius OA. Let OC be perpendicular to OA. Now... | |
 | Sir Norman Lockyer - 1883 - 694 σελίδες
...is 2 it — a. The couple produced by this torsion has for moment Him sin a. 1 A radian is the angle subtended at the centre of a circle by an arc equal in length to ihe radius. It has generally been called in lx>oks on trigonometry hitherto by the ambiguous name unit... | |
 | Woolwich roy. military acad - 1884 - 148 σελίδες
...triangles.) [NB — Great importance will be attached to accuracy in results. } . I. Prove that the angle subtended at the centre of a circle by an arc equal in length to its radius is an invariable angle. One angle of a triangle is 45°, and the circular measure of another is I J.... | |
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... the angle subtended at the centre of a circle by an arc equal in length to the radius, therefore 2ir radians = 360 degrees. 
