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" A = a ; that is, the circular measure of any angle, at the centre of a circle whose radius is unity, is equal to the length of the arc subtending that angle. "
The Elements of Plane and Spherical Trigonometry - Page 85
by Eugene Lamb Richards - 1879 - 207 pages
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Plane trigonometry and logarithms

John Walmsley - Logarithms - 1865 - 232 pages
...of circular measure is called the circular measure of it. From the proposition above it follows that The circular measure of any angle at the centre of a circle is the ratio of the subtending arc to the radius of the circle. Wherefore in the circle ABC, if arc...
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The Elements of Plane Trigonometry

Eugene Lamb Richards - Plane trigonometry - 1878 - 134 pages
...irr TT of L light angle is — = — ; etc. 7T T 82. If, in the equation A = -, we let r = 1 ; that is, if we find the circular measure of an angle at...integral or fractional ; then, by Arts. 82 and 77, nTr which is the general expression for the circular measure of any angle, when the degrees, minutes,...
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Calendar

University of St. Andrews - 1902 - 740 pages
...then QV2=4SP.PV. Hence show that the parameter of the diameter through P = 4SP. 7. Show that if 9 be the circular measure of any angle at the centre of a circle of radius r, the length s of the arc which it subtends is Or. A train runs round a circular curve of...
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