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Surveying and Navigation, with a Preliminary Treatise on Trigonometry and ...
Visualització completa - 1864
a. c. log adjacent angles adjacent sides altitude angle is equal arc increases base line chains circle clamp co-sine co-tangent compass cosec denote departure diameter difference of level divided east entire surface Examples feet field notes Find the angle find the area formulas frustum given side height hence horizontal hypotenuse included angle increases from 90 instrument intersection latitude links dist longitude mantissa meander miles minus needle negative number corresponding offsets one-half opposite angle parallel sailing parallelogram perpendicular plane plane sailing positive principal meridian Problem quarter section corner radius random line required the area rhumb line right angle sailing secant ship side adjacent sin2 sine solar compass spherical triangle stake standard parallel station survey surveyor Tang tangent telescope township trapezoid variation vernier versed-sine vertex vertical Willamette Meridian
Pàgina 110 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Pàgina 34 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.
Pàgina 258 - All the corners marked in the surveys, returned by the surveyor general, or by the surveyor of the lands south of the state of Tennessee, respectively, shall be established as the proper corners of sections, or subdivisions of sections, which they were intended to designate ; and the corners of half and quarter sections, not marked on said surveys, shall be placed as nearly as possible equidistant from those two corners which stand on the same line.
Pàgina 19 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Pàgina 124 - That is, the sines of the sides of a spherical triangle are proportional to the sines of the opposite angles.
Pàgina 144 - Any angle is greater than the difference between 180° and the sum of the other two angles.
Pàgina 10 - The integral part of a logarithm is called the characteristic and the decimal part is called the mantissa.
Pàgina 22 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.