Elements of Plane and Spherical Trigonometry: With Their Applications to Mensuration, Surveying, and NavigationHarper & Brothers, 1878 - 194 pàgines The following treatise constitutes the third volume of a course of Mathematics designed for colleges and high schools ... [I]t contains those principles which are most important on account of their applications, or their connection with other parts of a course of mathematical study... The most important instruments used in Surveying are fully described, and are illustrated by drawings. |
Altres edicions - Mostra-ho tot
Elements of Plane and Spherical Trigonometry: With Their Applications to ... Elias Loomis Visualització completa - 1868 |
Elements of Plane and Spherical Trigonometry: With Their Applications to ... Elias Loomis Visualització completa - 1886 |
Frases i termes més freqüents
altitude angle of elevation arc corresponding arithm base chains chord circle circumference Co-tangent column headed complement computed correction cosecant cosine course and distance cubic feet diameter diff difference of latitude difference of longitude Dist divided equal equator fifth figure find the angles find the area find the Logarithm fraction frustum Geometry given number Given the angle half height Hence horizontal line inches length logarithmic sine longitude measured meridian middle latitude miles minutes Multiply natural number natural sine nautical miles number of seconds parallel parallel sailing perpendicular plane sailing Prob Prop proportional quadrant radius Required the logarithmic right-angled spherical triangle right-angled triangle RULE Sandy Hook secant ship sails side AC spherical triangle ABC SPHERICAL TRIGONOMETRY square feet station subtract tabular number tang Tangent theodolite vernier vertical Vulgar Fraction yards zoids
Passatges populars
Pàgina 54 - C' (89) (90) (91) (92) (93) 112. 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.
Pàgina 20 - The circumference of every circle is supposed to be divided into 360 equal parts, • called degrees, each degree into 60 minutes, and each minute into 60 seconds, etc.
Pàgina 184 - If a heavy sphere, whose diameter is 4 inches, be let fall into a conical glass, full of water, whose diameter is 5, and altitude 6 inches ; it is required to determine how much water will run over ? AHS.
Pàgina v - In a system of logarithms all numbers are considered as the powers of some one number, arbitrarily chosen, which is called the base of the system, and the exponent of that power of the base which is equal to any given number, is called the logarithm of that number. Thus, if a be the base of a system of logarithms, N any number, and x such that N = a* then x is called the logarithm of N in the system whose base is a.
Pàgina 163 - The law of sines states that in any spherical triangle the sines of the sides are proportional to the sines of their opposite angles: sin a _ sin b __ sin c _ sin A sin B sin C...
Pàgina 50 - That is, the sines are positive in the first and second quadrants, and negative in the third and fourth.
Pàgina vi - To find the Logarithm of any Number between 1 and 100. Look on the first page of the table, along the column of numbers under N, for the given number, and against it, in the next column, will be found the logarithm, with its characteristic. Thus, opposite 13 is 1.113943, which is the logarithm of 13 ; " 65 is 1.812913, " " 65. To find tht Logarithm of any Number consisting of three Figures.
Pàgina 187 - From a window near the bottom of a house, which seemed to be on a level with the bottom of a steeple, I took the angle of elevation of the top of the steeple, equal to 40° ; then from another window, 18 feet directly above the former, the like angle was 37° 30'.
Pàgina 74 - To find the convex surface of a frustum of a pyramid or cone. 1. What is the convex surface of a frustum of a square pyramid, whose slant height is 7 ft., each side of the greater base 4 ft., and of the less base 1 8 inches ? OPERATION.
Pàgina 73 - To find the volume of a pyramid, or of a cone. Multiply the area of the base by one third of the altitude.