 | John Hymers - 1841 - 244 páginas
...90th part of a right angle, which is always used in practical applications, there is another, viz. the angle at the centre of a circle which is subtended by an arc equal to the radius of the circle, which is more convenient in analytical investigations. This angle will be of an invariable... | |
 | Joseph Allen Galbraith - 1852 - 84 páginas
...unit which is commonly used in mathematical treatises may be thus defined : DEFINITION : The angular unit* is that angle at the centre of a circle which is subtended by an arc equal in length to the radius. Thus if the arc AU (fig. 1) be taken equal in length to the radius CA, the... | |
 | Thomas Lund - 1854 - 520 páginas
...distance between the centres, if the smaller radius be 1 inch. Ans. 2| in. (23) Find the measure of the angle at the centre of a circle which is subtended by an arc equal to the diameter. Ans. 114° 35^', nearly. (24) Supposing the diameter of the earth, as seen at the sun, to... | |
 | John Hymers - 1858 - 292 páginas
...90th part of a right angle, which is always used in practical applications, there is another, viz. the angle at the centre of a circle which is subtended by an arc equal to the radius of the circle, which is more convenient in analytical investigations. This angle will be of an invariable... | |
 | Woolwich roy. military acad - 1864 - 588 páginas
...PUEE MATHEMATICS. Section I. TO 12 AM EEV. CANON HEAVISIDE, MA PLANE TRIGONOMETRY. 1. Show that the angle at the centre of a circle which is subtended by an arc equal to the radius is invariable. If this angle be taken as the unit of measurement, any other angle will be properly... | |
 | Joseph Allen Galbraith - 1866 - 132 páginas
...Angular Unit The unit to which all angles are referred may be thus denned : DEFINITION : The angular unit is that angle at the centre of a circle which is subtended by an are equal in length to the radius. "With C as centre, and any line CA as radius, describe a circle.... | |
 | David Munn - 1873 - 160 páginas
....-. angle AOB = ^x i8o° = 57°.2 9 577 = 5 7° 1 7' 45" This is the magnitude of the angle in any circle which is subtended by an arc equal to the radius, and as an arc equal to the radius is taken for the unit arc, so this angle is taken for the unit angle,... | |
 | H. C. Godwin - 1890 - 396 páginas
...greater than this in the same ratio as the arc AFB in Fig. 19 exceeds the 100-foot chord AB. Now the angle at the centre of a circle which is subtended by an arc equal to the radius equals — = 57°. 29578, it so that the true length of a curve is given by the equation t IR L —... | |
 | H. C. Godwin - 1890 - 394 páginas
...greater than this in the same ratio as the arc AFB in Fig. 19 exceeds the 100-foot chord AB. Now the angle at the centre of a circle which is subtended by an arc equal to the radins equals — °= 57°. 29578, It so that the true length of a curve is given by the equation Z... | |
 | Alfred John Pearce - 1897 - 202 páginas
...360° xr 180° 2nr 180° 3-1416 = 57°'29577 = 57= 17' 45" This is the magnitude of the angle in any circle which is subtended by an arc equal to the radius, and is taken for the unit angle and used for measuring the magnitude of other angles. It is important that... | |
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Now the angle at the centre of a circle which is subtended by an arc equal to the radius equals — = 57°. 29578, it so that the true length of a curve is given by the equation t IR L — ~ — — 57.2958 — 57.2958... 
