A Treatise on Practical Astronomy: As Applied to Geodesy and Navigation |
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Page iii
... tion to the subject for the benefit of those readers who are not already familiar with it . This introduction develops the method with special reference to the requirements of this particular class of work , and it has not.
... tion to the subject for the benefit of those readers who are not already familiar with it . This introduction develops the method with special reference to the requirements of this particular class of work , and it has not.
Page 1
... tion to the true value . If a number of measurements of the same quantity are made with extreme care , no two of the values obtained will probably agree exactly ; at the same time none of them will differ very widely from the true one ...
... tion to the true value . If a number of measurements of the same quantity are made with extreme care , no two of the values obtained will probably agree exactly ; at the same time none of them will differ very widely from the true one ...
Page 8
... tion is strictly general , if we have once determined its form in a special case the result will be applicable to all cases . We have assumed as an axiom that in the case of direct measurement of the quantity sought the most probable ...
... tion is strictly general , if we have once determined its form in a special case the result will be applicable to all cases . We have assumed as an axiom that in the case of direct measurement of the quantity sought the most probable ...
Page 32
... tion . As for the criteria for this purpose hitherto proposed , probably the most that can be said in their favor is that their use insures a uniformity in the matter , thus leaving nothing to the individual caprice of the computer ...
... tion . As for the criteria for this purpose hitherto proposed , probably the most that can be said in their favor is that their use insures a uniformity in the matter , thus leaving nothing to the individual caprice of the computer ...
Page 33
... tion of the true values of x , y , z , and w ( if we knew them ) would exactly satisfy any one of the equations . Let v1 , v ,, v ,, etc. , be the residuals obtained by substituting in equations ( 36 ) for x , y , z , and w their ...
... tion of the true values of x , y , z , and w ( if we knew them ) would exactly satisfy any one of the equations . Let v1 , v ,, v ,, etc. , be the residuals obtained by substituting in equations ( 36 ) for x , y , z , and w their ...
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Common terms and phrases
accuracy altitude angle applied approximation arithmetical mean ascension and declination axis azimuth Bessel catalogue celestial sphere centre chronograph chronometer circle circumpolar stars clamp co-ordinates coefficients collimation computation constant convenient culmination determined difference differential dt dt earth east ecliptic elongation emersion ephemeris equal example follows formulæ geocentric given gives Greenwich horizon hour-angle instant latitude limb logarithms longitude mean solar measured meridian method micrometer middle thread moon moon's right ascension multiplied Nautical Almanac obtained occultation parallax plane position prime vertical probable error proper motion reading reduced refraction right ascension screw semidiameter sextant sidereal sin² star's stars observed Substituting subtract telescope tion transit instrument unknown quantities values vernier weight write zenith distance ΙΟ
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