...elliptic feaorQFL. This angle or equation is determined by the following rule. Let R be an angle fubtended by an arc equal in length to the radius of the circle, viz. 57/29578 degrees ; and let A be an angle whofe fine is to the radius as GM, the bale of the fegment,...

...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...

...by 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...

...'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...

...so that if r be the radius of the circle, its circumference will equal 2тгг, let A CB (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...

...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....

...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 = - —...

...Mathematician, that -^ = 3-125 (which is Mr. Smith-s o But further : The number of degrees contained in an angle at the centre of a circle subtended by an arc equal to radius is —, jT and on the theory that 8 circumferences are exactly equal to 25 diameters = -...

...every circle. Now, it is not only axiomatic, but stands to common sense, that the circular measure of an angle at the centre of a circle subtended by an arc equal to radius must be arithmetically the same, whether we adopt unity as the radius of the circle, or 360°...

...supplemental when their sum is 180°. PROP. XIV.—To find the number of degrees, minutes, &'c. in an angle at the centre of a circle subtended by an arc equal to the radius. Let ABC be a circle whose radius is AO. Take the arc AB = to the radius, and join BO....