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 41
... Subtract the log . of modulus ( 0-43429 ) Logarithm of the hyp . log . cotan . 5 ° Add log . of 3437 · 75 ̊ . Log . of 8375 ( = L ) And 8375 is the number in the tables . 0.02451 -1.63778 · 0.38673 3.53627 3.92300 55. As an example of ...
... Subtract the log . of modulus ( 0-43429 ) Logarithm of the hyp . log . cotan . 5 ° Add log . of 3437 · 75 ̊ . Log . of 8375 ( = L ) And 8375 is the number in the tables . 0.02451 -1.63778 · 0.38673 3.53627 3.92300 55. As an example of ...
Page 45
... . MCP and Cos . NCP ; CM CN PM PN also sin . MCP and sin . NCP : therefore CM CN C P2 Cos . MCP cos . NCP and CM.CN PM.PN CM.CN sin . MCP sin NCP : consequently by subtraction , CP2-PM.PN CM.CN = cos . MCP CHAP . III . 45 TRIGONOMETRY .
... . MCP and Cos . NCP ; CM CN PM PN also sin . MCP and sin . NCP : therefore CM CN C P2 Cos . MCP cos . NCP and CM.CN PM.PN CM.CN sin . MCP sin NCP : consequently by subtraction , CP2-PM.PN CM.CN = cos . MCP CHAP . III . 45 TRIGONOMETRY .
Page 46
... subtraction , CP2-PM.PN CM.CN = cos . MCP COS . NCP sin . MCP sin . NCP , = ( Pl . Trigon . , art . 32. ) cos ... subtracting the first of these equations from the last , observing that the difference between the squares of the secant ...
... subtraction , CP2-PM.PN CM.CN = cos . MCP COS . NCP sin . MCP sin . NCP , = ( Pl . Trigon . , art . 32. ) cos ... subtracting the first of these equations from the last , observing that the difference between the squares of the secant ...
Page 51
... subtracting it from AC , the segment DC may also be found . The side BC will be most readily obtained by forming in each of the triangles ADB , BDC , an equation corresponding to ( d ) in art . 60. , and dividing one by the other ; each ...
... subtracting it from AC , the segment DC may also be found . The side BC will be most readily obtained by forming in each of the triangles ADB , BDC , an equation corresponding to ( d ) in art . 60. , and dividing one by the other ; each ...
Page 52
... subtraction ; and , therefore , before they can be rendered subservient to the determination of numerical values in ... subtracting the members of this equation from those of the identical equation 1 - sin . AC sin . BC sin . AC sin . BC ...
... subtraction ; and , therefore , before they can be rendered subservient to the determination of numerical values in ... subtracting the members of this equation from those of the identical equation 1 - sin . AC sin . BC sin . AC sin . BC ...
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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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