 CHAPTER VII. . SPHEROIDAL GEODESY. 57. PROPERTIES OF THE ELLIPSE. Since an oblate spheroid is generated by the revolution of •an ellipse about its minor axis, the equator and all the sections of the spheroid parallel to the equator are circles, and...  Elements of Precise Surveying and Geodesy - Page 156by Mansfield Merriman - 1899 - 261 pagesFull view - About this book
 | John Martin Frederick Wright - Conic sections - 1836 - 278 pages
...required. 129. COR. — If the origin of traced angles be SH produced ; then r = e cos. 9 130. DKF. — The ECCENTRICITY of an ellipse is the ratio of the distance between either focus and centre to that between either vertex and centre, •p Hence eccentricity =± — =... | |
 | Mansfield Merriman - Geodesy - 1903 - 274 pages
...they are further simplified. Prob. 56. Given L = 40° 36' 22r'.4$2, M = 75° 22' 5'".'5o, Z = 193° 56' 28".!, and /= 1726.60 meters. Taking ^ = 6371...the semi.major axis. Let e be the eccentricity and f be the ellipticity, then Vaf - F a- b The relation between these two fractions is e = V2f-f*, f =... | |
 | Mansfield Merriman - Geodesy - 1899 - 282 pages
...further simplified. Prob. 56. Given L = 40" 36' 22". 452, M = 75° 22' 51".15o, Z= 193° 56' 28". 1, and /= 1726.60 meters. Taking ./? = 6371 kilometers,...be the eccentricity and / be the ellipticity, then Vef - V a- b The relation between these two fractions is PROPERTIES OF THE ELLIPSE. 157 and b may be... | |
 | Mansfield Merriman - Geodesy - 1899 - 292 pages
...directly applied to such triangles, and in Art. 64 it will be shown how they are further simplified. CHAPTER VII. SPHEROIDAL GEODESY. 57. PROPERTIES OF...the eccentricity and / be the ellipticity, then Va' — b' a— b a ' f ~- ~~Tand b may be expressed in terms of e and / in two ways, b = — f, Thus two... | |
 | Mansfield Merriman - Geodesy - 1899 - 294 pages
.../= 1726.60 meters. Taking J? = 6371 kilometers, compute latitude L', longitude M', and azimuth Z'. j CHAPTER VII. SPHEROIDAL GEODESY. 57. PROPERTIES OF...the semi-major axis. Let e be the eccentricity and f be the ellipticity, then ^ 4/g' _ b' f _ a — b e- — , /- — j-. PROPERTIES OF THE ELLIPSE. 157... | |
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