Practical Astronomy and Geodesy: Including the Projections of the Sphere and Spherical Trigonometry. For the Use of the Royal Military CollegeLongman, Brown, Green, and Longmans, 1845 - 427 pages |
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Page viii
... primitive circle defined . — A projected great circle intersects it in one of its diameters 25. ( Prop . I. ) Circles of the sphere , passing through the eye , are projected in straight lines . - 26. ( Prop . II . ) If a circle of the ...
... primitive circle defined . — A projected great circle intersects it in one of its diameters 25. ( Prop . I. ) Circles of the sphere , passing through the eye , are projected in straight lines . - 26. ( Prop . II . ) If a circle of the ...
Page ix
... circle of the sphere be described about each of the intersections of two circles of the sphere as a pole , at equal ... primitive and given circle 32. ( Prop . VII . ) The radius of the circle constituting the pro- jection of a great ...
... circle of the sphere be described about each of the intersections of two circles of the sphere as a pole , at equal ... primitive and given circle 32. ( Prop . VII . ) The radius of the circle constituting the pro- jection of a great ...
Page 14
... sphere , the circle on whose plane , produced if necessary , that surface is represented , is called the Primitive Circle ; its plane is called the plane of projection . Cor . 1. The projecting point being in the direction of a diameter ...
... sphere , the circle on whose plane , produced if necessary , that surface is represented , is called the Primitive Circle ; its plane is called the plane of projection . Cor . 1. The projecting point being in the direction of a diameter ...
Page 20
... primitive and of any other great circle of the sphere , the arcs intercepted on the pri- а mitive and on that great circle by the circles APA 20 СНАР . ІІ . PROJECTIONS OF THE SPHERE .
... primitive and of any other great circle of the sphere , the arcs intercepted on the pri- а mitive and on that great circle by the circles APA 20 СНАР . ІІ . PROJECTIONS OF THE SPHERE .
Page 21
... primitive and of the given circle . M a P R Let APBS be a circle of the sphere perpendicular to the primitive and to the given circle ; and let A B and MN be the diameters of these circles in the plane of the paper : then P and s , Q ...
... primitive and of the given circle . M a P R Let APBS be a circle of the sphere perpendicular to the primitive and to the given circle ; and let A B and MN be the diameters of these circles in the plane of the paper : then P and s , Q ...
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Common terms and phrases
aberration altitude angular distance apparent ascension and declination astronomical axis azimuth bisected celestial body celestial sphere centre circumference co-ordinates colatitude computed considered correction cotan degrees described determined diameter difference earth ecliptic ellipse equal equator equatorial equinoctial point expressed fixed star formula geocentric given Greenwich horary horizontal parallax hour angle inclination instant instrument intersection interval latitude latter let fall longitude mean meridian micrometer moon moon's motion Nautical Almanac node nutation obliquity observed obtained parallax parallel perihelion perpendicular plane passing polar distance pole position primitive circle radius vector refraction represented revolution revolve right angles right ascension satellite sector semidiameter side sidereal sin.² sine sphere spherical triangle star's station substituting subtended subtracted sun's supposed surface tangent telescope transit transit telescope Trigon trigonometry vertical whence wire zenith distance zero