Surveying and Navigation: With a Preliminary Treatise on Trigonometry and MensurationWilson, Hinkle & Company, 1873 - 482 páginas |
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Página iii
... method of considering the sine , co - sine , tan- gent , etc. , as linear functions of the arc , explains the origin of these terms - avoids the ambiguity of the word ratio ; explains how the logarithm of the sine , for example , can ...
... method of considering the sine , co - sine , tan- gent , etc. , as linear functions of the arc , explains the origin of these terms - avoids the ambiguity of the word ratio ; explains how the logarithm of the sine , for example , can ...
Página iv
... methods of making the adjustments given in detail . The Author takes this opportunity to express his obligations to ... method of surveying the Public lands , now brought to great perfection under the direction of the Govern- ment , has ...
... methods of making the adjustments given in detail . The Author takes this opportunity to express his obligations to ... method of surveying the Public lands , now brought to great perfection under the direction of the Govern- ment , has ...
Página v
... method of finding the area , a new method , developed by E. M. Pogue , of Kentucky , is given in Art . 304. This method has the merit of giving always a uniform result from the same field notes , and thus avoids dis- putes about the ...
... method of finding the area , a new method , developed by E. M. Pogue , of Kentucky , is given in Art . 304. This method has the merit of giving always a uniform result from the same field notes , and thus avoids dis- putes about the ...
Página 61
... Method of Computation . Reversing the order of the couplets of the proportion in Case I. ( 1 ) a : b :: sin A : sin B. Hence , The side opposite the given angle is to the side opposite the required angle , as the sine of the given angle ...
... Method of Computation . Reversing the order of the couplets of the proportion in Case I. ( 1 ) a : b :: sin A : sin B. Hence , The side opposite the given angle is to the side opposite the required angle , as the sine of the given angle ...
Página 108
... method of article 60 . SPHERICAL TRIGONOMETRY . 123. Definition and Remarks . Spherical Trigonometry is that branch of Trigonome- try which treats of the solution of spherical triangles . If any three of the six parts of a spherical ...
... method of article 60 . SPHERICAL TRIGONOMETRY . 123. Definition and Remarks . Spherical Trigonometry is that branch of Trigonome- try which treats of the solution of spherical triangles . If any three of the six parts of a spherical ...
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Términos y frases comunes
a. c. log ABCD adjacent angles adjacent sides altitude angle is equal arc increases C₁ chains clamp co-sine co-tangent compass cosec denote departure diameter divided east entire surface escribed circles Examples feet field notes Find the angle find the area formulas frustum given side Hence horizontal hypotenuse included angle increases from 90 instrument intersection latitude links dist logarithm longitude M.
M. Sine mantissa meander meridian miles minus needle negative number corresponding offsets opposite angle parallel sailing parallelogram perpendicular plane plane sailing positive Problem quarter section corner radius required the area rhumb line right angle sailing secant ship side adjacent sin A sin sin² slant height spherical triangle stake standard parallel station survey surveyor Tang tangent telescope trapezoid variation vernier versed-sine vertex vertical Willamette Meridian
Pasajes populares
Página 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.
Página 94 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Página 232 - 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.
Página 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.
Página 22 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 108 - That is, the sines of the sides of a spherical triangle are proportional to the sines of the opposite angles.
Página 10 - The integral part of a logarithm is called the characteristic and the decimal part is called the mantissa.
Página 183 - Then carefully turn the arm half way over, until it rests upon the adjuster by the opposite faces of the rectangular blocks, and again observe the position of the sun's image. If it remains between the lines as before, the...
Página 21 - Find the logarithm of the number, and multiply it by the exponent of the power; then find the number corresponding to the resulting logarithm, and it will be the power required.
Página 22 - Divide the logarithm of the given number by the index of the root ; and the quotient will be the logarithm of the required root (Art.