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 xiv
... sine of the latitude - 116 157. The difference of the sines of the horizontal parallaxes vary in like manner . Formula for the sine of the horizontal paral- lax at any station ; and a table of the decrements of the moon's horizontal ...
... sine of the latitude - 116 157. The difference of the sines of the horizontal parallaxes vary in like manner . Formula for the sine of the horizontal paral- lax at any station ; and a table of the decrements of the moon's horizontal ...
Page 13
... sine of 45 degrees ( the radius being considered as unity ) ; and this method , which has been much used in the formation of geographical maps , is sometimes called the Globular pro- jection . The second is that in which the eye is ...
... sine of 45 degrees ( the radius being considered as unity ) ; and this method , which has been much used in the formation of geographical maps , is sometimes called the Globular pro- jection . The second is that in which the eye is ...
Page 14
... sine of 90 ° , the tangent of 45 ° , or the secant of 0 ° , may be equal to the radius of the primitive circle . PROPOSITION I. 25. In any projection , if the plane of a circle of the sphere pass through the projecting point or the eye ...
... sine of 90 ° , the tangent of 45 ° , or the secant of 0 ° , may be equal to the radius of the primitive circle . PROPOSITION I. 25. In any projection , if the plane of a circle of the sphere pass through the projecting point or the eye ...
Page 34
... sine of 45 ° , the radius of the primitive circle being unity , La Hire has diminished the distortion to which the surface of the sphere is subject in the stereographical projection , and on that account it is more con- venient than the ...
... sine of 45 ° , the radius of the primitive circle being unity , La Hire has diminished the distortion to which the surface of the sphere is subject in the stereographical projection , and on that account it is more con- venient than the ...
Page 35
... sine and cosine of 45 ° ) are each equal to , and ER = 2 + 1 ; also EC = √ 1⁄2 + 1. Now the triangles ERP and ECp being similar to one another , ER EC RP : Cp , that is 2√3 + 1 +1 : √ cp = VI + 1 2√2 + 1 cp ; therefore Multiplying ...
... sine and cosine of 45 ° ) are each equal to , and ER = 2 + 1 ; also EC = √ 1⁄2 + 1. Now the triangles ERP and ECp being similar to one another , ER EC RP : Cp , that is 2√3 + 1 +1 : √ cp = VI + 1 2√2 + 1 cp ; therefore Multiplying ...
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Practical Astronomy and Geodesy: Including the Projections of the ..., Volume 5 John Narrien No preview available - 2016 |
Common terms and phrases
angular distance apparent ascension and declination astronomical azimuth bisected celestial body celestial sphere centre circle passing circumference colatitude computed considered correction corresponding cosine cotan degrees described determined diameter difference earth ecliptic ellipse equal equator equatorial equinoctial point expressed fixed star formula geocentric given graduation Greenwich Greenwich mean horary motions horizontal parallax hour angle index error instant instrument interval latitude latter let fall limb longitude mean noon meridian micrometer moon moon's Nautical Almanac node observed altitude obtained optical axis orbit parallax parallel perihelion perpendicular plane passing polar distance pole position projection radius refraction represented revolution revolve right angles right ascension satellite screw sector semidiameter side sidereal sidereal clock sine sphere spherical triangle star's station subtended subtracted supposed surface tangent transit telescope true variation vertical wire zenith distance zero
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