Elements of Plane and Spherical Trigonometry: With Their Applications to Mensuration, Surveying, and NavigationHarper, 1886 - 199 páginas |
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Términos y frases comunes
altitude angle of elevation 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 divided draw 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 Lat Dep length logarithmic sine longitude measured meridian middle latitude miles minutes Multiply natural number nautical miles number of seconds parallel parallel sailing perpendicular plane sailing Prob Prop proportional quadrant quotient radius Required the logarithmic right-angled spherical triangle right-angled triangle RULE Sandy Hook secant ship sails side AC slant height solidity spherical triangle ABC square feet station subtract tabular number Tangent theodolite unity vernier vertical Vulgar Fraction yards zoids ΙΟ
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Página 76 - ALSO THE AREA OF THE TRIANGLE FORMED BY THE CHORD OF THE SEGMENT AND THE RADII OF THE SECTOR. THEN...
Página vi - The characteristic of the logarithm of a number greater than unity is one less than the number of integral figures in the given number.
Página 78 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Página 40 - 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.
Página 42 - The side opposite the given angle is to the side opposite the required angle, as the sine of the given angle is to the sine of the required angle.
Página 118 - Small errors of this kind are unavoidable ; but when the error does not exceed one link to a distance of three or four chains, it is customary to distribute the error among the sides by the following proportion : As the perimeter of the field, Is to the length of one of the sides, So is the error in latitude or departure, To the correction corresponding to that side. This correction, when applied to a column in which the sum of the numbers is too small, is to be added; but if the sum of the numbers...
Página 91 - To find the surface of a cone. • RULE, Multiply the circumference of the base by half the side for the convex surface ; to which add the area of the base when the entire surface is required.
Página 75 - As 360 is to the number of degrees in the arc, so is the area of the circle to the area of the sector. This follows from Geometry, Prop. 14, Cor., B. III. Ex. 1. What is the area of a sector whose arc is 22°, in a circle whose diameter is 125 feet ? The length of the arc is found to be 23.998.
Página 18 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 44 - Given two sides and the included angle, to find the third side and the remaining angles. The sum of the required angles is found by subtracting the given angle from 180°.