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 16
... consequently , the projected figure ng md is an ellipse . Cor . 1. When the projecting point is on the surface of the sphere , as at E ' in the preceding figure , the projection of any circle of the sphere , as A G B D not passing ...
... consequently , the projected figure ng md is an ellipse . Cor . 1. When the projecting point is on the surface of the sphere , as at E ' in the preceding figure , the projection of any circle of the sphere , as A G B D not passing ...
Page 17
... consequently , A F. F B = F N " . FM " cos.2 F But A F. F BF G2 ; therefore FN . " FM " = F G2 , cos.2 F , that is , F N " . F M " has a constant ratio to F G2 , which is a property of an ellipse . Therefore the section N ' G M " D is ...
... consequently , A F. F B = F N " . FM " cos.2 F But A F. F BF G2 ; therefore FN . " FM " = F G2 , cos.2 F , that is , F N " . F M " has a constant ratio to F G2 , which is a property of an ellipse . Therefore the section N ' G M " D is ...
Page 18
... consequently ( Geom . 6 . Planes ) parallel to D A. Draw a line from c through a ' to meet FG in G ; and from G in the tangent plane draw Gd parallel to FD ; Gd will be equal to DF , and FG to Dd . Let CD , the semidiameter of the ...
... consequently ( Geom . 6 . Planes ) parallel to D A. Draw a line from c through a ' to meet FG in G ; and from G in the tangent plane draw Gd parallel to FD ; Gd will be equal to DF , and FG to Dd . Let CD , the semidiameter of the ...
Page 19
... consequently parallel to the plane of projection . Draw PM , PN , and PH , and imagine planes to pass through PM , HM , and PN , HN : these will intersect each other in PH , and the plane of projection in h m and hn ; therefore hm and ...
... consequently parallel to the plane of projection . Draw PM , PN , and PH , and imagine planes to pass through PM , HM , and PN , HN : these will intersect each other in PH , and the plane of projection in h m and hn ; therefore hm and ...
Page 20
... consequently ( Euc . , 29. 3. ) all their chords , viz . the straight lines Pa , Pb , P'a ' , P'b ' , will be equal ... consequently the third plane angles a Pb and a'P'b ' are equal to one another ( Geom . , 23. Planes ) . It follows ...
... consequently ( Euc . , 29. 3. ) all their chords , viz . the straight lines Pa , Pb , P'a ' , P'b ' , will be equal ... consequently the third plane angles a Pb and a'P'b ' are equal to one another ( Geom . , 23. Planes ) . It follows ...
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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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