| John Hymers - Logarithms - 1841 - 244 pages
...that if r be the radius of the circle, its circumference will equal 2 тгг, let ÀCB (fig. 1.) be an angle at the centre of a circle subtended by an arc equal to the radius of the circle ; then, since (Euclid, VI. 33) angles at the centre of the same circle are... | |
| Thomas Lund - Geometry - 1854 - 520 pages
...as '005, or rr^: , that 1 000 is, the 200th part of a unit. PROB. 7. To find the numerical value of the angle at the centre of a circle subtended by an arc equal to the radius. By (240) we know, that the length of an arc subtending an angle of A" at the centre therefore,... | |
| James Hann - Plane trigonometry - 1854 - 138 pages
...an arc equal to the radius*. If U° represent that angle, then by equation (1), * К АС В be an angle at the centre of a circle, " subtended by an arc equal to the radius of the circle, then, since by the 33rd Proposition of the 6th Book of Euclid, the angles... | |
| John Hymers - Logarithms - 1858 - 292 pages
...the 90th part of a right angle is taken for the unit of angular measure, to find its measure where the angle at the centre of a circle, subtended by an arc equal to the radius of the circle, is taken for the unit, and conversely. The numerical value of ir, the ratio... | |
| James Smith - Mathematics - 1865 - 168 pages
...second conclusion. Again: On the Orthodox theory, 57-2957795 1 &c. is the number of degrees contained in the angle at the centre of a circle subtended by an arc equal to radius ; but for the purpose of my argument I may take 57-29573 as a sufficiently close approximation. Now,... | |
| James Smith - Circle-squaring - 1869 - 459 pages
...Mathematician, that— = 3-125 (which is Mr. Smith's But further : The number of degrees contained in an angle at the centre of a circle subtended by an arc equal to radius is — -, and on the theory that 8 circumferences are exactly equal to 25 diameters = - — = 57-6 = 57°... | |
| James Smith - 1870 - 634 pages
...a circle, of which the diameter is unity. But he adds that " the number of degrees contained in an angle at the centre of a circle, subtended by an arc equal to the radius, is — ; and on the theory that 8 circumferences of a circle , TT are exactly equal to... | |
| David Munn - 1873 - 160 pages
...intercepts the adopted unit of arc 27 XIV. To find the number of degrees, minutes, and seconds in an angle at the centre of a circle subtended by an arc equal to the radius 30 EXERCISES (3) 32 PART II.—SURFACES. I. PLANE SURFACES. I. To find the area of a rectangle,... | |
| Eugene Lamb Richards - Trigonometry - 1879 - 232 pages
...Art. 54, II.). In the circular measure of an angle and its intercepted arc, the unit of angle is an angle at the centre of a circle, subtended by an arc equal to the radius of the circle ; and this arc is the unit of arc. 79. The angle at the centre of any circle... | |
| Popular encyclopedia - 1884 - 542 pages
...radius of the circle is called the circular measure of tho angle. The unit angle in circular measure is the angle at the centre of a circle subtended by an arc equal in length to the radius. Angles may l>e compared by means of certain functions which we proceed to... | |
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