A Treatise on Trigonometry, Plane and Spherical: With Its Application to Navigation and Surveying, Nautical and Practical Astronomy and Geodesy : with Logarithmic, Trigonometrical, and Nautical Tables, for the Use of Schools and Colleges
G.P. Putnam, 1851 - 372 σελίδες
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added altitude applied axis azimuth base becomes called centre circle column computed contains correction corresponding Cosecant cosine Cotangent course declination departure described determined Diff difference difference of latitude direction Dist distance divided division earth employed equal equation error example expressed extremity feet figure formula give given greater ground half hence horizontal Hour P.M. known latitude length less limb logarithm longitude means measured meridian method middle miles minutes moved multiplied necessary object observed obtained opposite parallel passing perpendicular plane pole position proportion radius reading represent result right angled rule sailing scale screw Secant ship side sine solution spherical star station subtracted supposed taken tangent telescope transit triangle true turning vernier vertical wires zenith
Σελίδα 204 - ... 6. The latitude of a place is its distance north or south of the equator, measured on the meridian of the place.
Σελίδα 33 - The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number.
Σελίδα 86 - When a ray of light passes from one medium to another, it is refracted so that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the velocities in the two media.
Σελίδα 79 - In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Σελίδα 66 - FH is the sine of the arc GF, which is the supplement of AF, and OH is its cosine ; hence, the sine of an arc is equal to the. sine of its supplement ; and the cosine of an arc is equal to the cosine of its supplement* Furthermore...
Σελίδα 219 - Then, along the horizontal line, and under the given difference of latitude, is inserted the proper correction to be added to the middle latitude to obtain the latitude in which the meridian distance is accurately equal to the departure. Thus, if the middle latitude be 37°, and the difference of latitude 18°, the correction will be found on page 94, and is equal to 0° 40'. EXAMPLES. 1. A ship, in latitude 51° 18...
Σελίδα 213 - A2,lay off the distance BC = 23 miles; in the direction parallel to A3, lay off CD = 36 ; in the direction parallel to A4, lay off DE = 12 miles ; and, lastly, in the direction parallel to A5, lay off EF = 41 ; then F will be the place of the ship at the end of the traverse ; consequently, AF will be the distance made good, and the angle FAS the direct course ; applying, therefore, the distance AF to the scale of equal parts, we shall find it reach from 0 to 62| ; and applying the distance Sa to...
Σελίδα 284 - ZP. Now, in the triangle PSS', we have given two sides and the included angle to find the third side SS', and one of the remaining angles, say the angle PSS'.