 | John Hymers - 1841 - 244 pàgines
...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 to one another as the arcs... | |
 | James Hann - 1854 - 140 pàgines
...to the radius*. If U" represent that angle, then by equation (1), * If ACB 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 at the centre of a circle... | |
 | John Hymers - 1858 - 292 pàgines
...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 of the circumference of... | |
 | Eugene Lamb Richards - 1878 - 134 pàgines
...circle, and, therefore, a constant quantity. Therefore the angle ABD, or an angle at the centre of any circle subtended by an arc equal to the radius of the circle, is a constant quantity. 80. Let BAC be any angle at the centre of a circle, and be denoted by A. ,... | |
 | Eugene Lamb Richards - 1879 - 232 pàgines
...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 subtended by an arc equal... | |
 | William Ernest Johnson - 1889 - 574 pàgines
...circumference is irepuptpeia, of which ir is the initial letter. 2. The angle, at the centre of any circle, subtended by an arc equal to the radius of the circle, is called a Radian. The student must particularly observe that, since ir is the ratio of one length... | |
 | Joseph Johnston Hardy - 1897 - 398 pàgines
...diminished by twice their product into the cosine of the included angle. 26. tan 45° = 1. 27. A radian is the angle at the center of a circle subtended by an arc whose length is equal to the radius of the circle. It is equal to 57°. 3 28. The number of radians... | |
 | 1898 - 228 pàgines
...apothem of a regular hexagon of one-half as great area. 3. Find the degrees, minutes and seconds in the angle at the center of a circle subtended by an arc equal to 0.32754 of the radius (use logarithms). 4. If the area of a square is 0.074225 square feet find the... | |
 | John Duncan - 1908 - 362 pàgines
...jjf,11• of the circumference. c Flo. 16. Fio. 17.— The radian. A radian is the angle at the centre of a circle subtended by an arc equal to the radius of the circle ; in Fig. 17, ABC is one radian. In a complete circle there are 360 degrees and 2ir radians, therefore... | |
 | Levi Leonard Conant - 1909 - 320 pàgines
...length to the radius of the circle, OA. The angle AOB is called a radian. Accordingly: A radian is an angle at the center of a Circle, subtended by an arc equal in length to the radius of the circle. In order to use the radian as a unit of measure, it is necessary... | |
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A unit of plane angular measurement equal to the angle at the center of a circle subtended by an arc equal in length to the radius. 
