Practical Astronomy and Geodesy: Including the Projections of the Sphere and Spherical Trigonometry. For the Use of the Royal Military College

John Narrien

Longman, Brown, Green, and Longmans, 1845 - Geodesy - 427 pages

Contents

• THE EARTH PHENOMENA OF THE CELESTIAL BODIES: 1
• Ancient method of finding the magnitude of the earth: 4
• CHAP II: 12
• Prop III If a plane touch a sphere and from the centre: 18
• Projection of a portion of a sphere gnomonically on a tangent: 24
• Prop XI To find the poles of a given projected small: 26
• Prop XVIII A line making any constant angles with: 32
• Application of Mercators principle to a problem in navigation: 41
• Projection of a hemisphere orthographically on the plane: 44
• Prop III To express one of the sides of a spherical tri: 48
• Art Page: 56
• Methods of computing the sides of terrestrial triangles: 59
• Determination of the value of its scale by a terrestrial object: 62
• Explanation of the middle part and the adjacent and opposite: 63
• Description of the spirit level and the manner of using it: 68
• Employment of the instrument in finding differences: 70
• Manner of using the instrument in observing altitudes: 77
• Manner of observing horizontal and oblique angles: 97
• Processes for finding the horizontal point: 100
• Reflecting circles having the property of repetition: 103
• Methods of finding the error of collimation in azimuth: 106
• Art Page: 107
• 52: 108
• Method of finding the error of the polar axis in altitude: 112
• Nautical and geocentric latitude explained: 113
• Method of finding the horizontal parallax of the moon or: 120
• The dip or angular depression of the horizon: 126
• The suns declination goes through its changes during a year: 129
• CHAP VII: 135
• Coefficient of refraction from experiments on the refractive: 143
• Manner of obtaining the longitude and latitude of the moon: 151
• The place of the perihelion the semitransverse axis and: 154
• The sectoral areas described in equal times in a circle and: 163
• THE ORBIT OF THE MOON: 164
• The length of the anomalistic year: 167
• tioned: 169
• The moons movements subject to considerable inequalities: 170
• cension: 176
• of the earth in its orbit: 177
• Application of spherical trigonometry in the case just men: 179
• The diurnal aberration of light: 183
• Investigation from the coordinates of three points in a given: 185
• CHAP XI: 189
• Method of determining the perihelion point of the earths: 200
• Investigation of the sectoral area described about the focus: 204
• Equation of the centre and determination of its greatest value: 206
• Uncertainty in estimating the instants of immersion: 208
• Investigation of the change in the hour angle caused by: 211
• Method of finding the geocentric longitude and latitude of: 214
• declination and the converse: 220
• Method of finding the time of apparent noon from equal: 223
• Investigation of the parallax in a line joining the two which: 231
• Discovery of the aberration of light: 233
• Reduction of sidereal time at Greenwich mean noon: 238
• Method of finding approximatively the distance of a planet: 246
• Manner of determining by rectangular coordinates a planets: 252
• The instant of witnessing a phenomenon uncertain: 253
• Method of least squares: 261
• In any parabola the angular velocity varies inversely as: 268
• Manner of finding the times of revolution about the primary: 274
• 140: 279
• Art Page: 311
• 361: 314
• Method of finding the longitude of a station by observed: 318
• CHAP XVII: 324
• Process for finding the instants of ingress and egress for: 328
• Method of finding the difference between the apparent: 331
• Method of finding the latitude of a ship by the observed: 335
• The instants of ingress and egress being given to compute: 338
• Method of finding the direction of a meridian line on: 341
• Process for determining the longitude of a station from: 345
• Investigation of a formula for the difference between the: 351
• Methods of determining the latitude by two altitudes of: 357
• Formula for the reduction of a spherical arc to its chord: 364
• Method of reducing computed portions of the meridian: 372
• Brief outline of the method of conducting a geodetical survey: 374
• Proof from the lengths of the degrees of latitude that: 378
• vertical section of a spheroid: 385
• Art Page: 390
• Details of the process employed in measuring a base: 391
• Prob III To determine the positions of two objects with: 398
• Nature of mountain barometers Formula for finding: 404
• Prop II To correct the length of a pendulum on account: 409
• Correspondence of the theory of magnetized needles to that: 416
• Manner of expressing the intensity of terrestrial magnetism: 423

Bibliographic information

• Title: Practical Astronomy and Geodesy: Including the Projections of the Sphere and Spherical Trigonometry. For the Use of the Royal Military College
• Author: John Narrien
• Publisher: Longman, Brown, Green, and Longmans, 1845
• Original from: the University of California
• Digitized: Aug 27, 2008
• Length: 427 pages