Surveying and Navigation: With a Preliminary Treatise on Trigonometry and MensurationWilson, Hinkle & Company, 1873 - 482 páginas |
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Página iii
... . 64 . Each of the circular functions has , in the first place , been considered by itself , and its value traced , for all arcs , from 0 ° to 360 ° . Then follows the solution of triangles , right and oblique ( iii )
... . 64 . Each of the circular functions has , in the first place , been considered by itself , and its value traced , for all arcs , from 0 ° to 360 ° . Then follows the solution of triangles , right and oblique ( iii )
Página iv
... solution of the problems . In the Surveying , the instruments are first represented and described , and the methods of making the adjustments given in detail . The Author takes this opportunity to express his obligations to Messrs . W ...
... solution of the problems . In the Surveying , the instruments are first represented and described , and the methods of making the adjustments given in detail . The Author takes this opportunity to express his obligations to Messrs . W ...
Página 23
... solution of triangles . Trigonometry is divided into two branches - Plane and Spherical . PLANE TRIGONOMETRY . 29. Definition . Plane Trigonometry is that branch of Trigonometry which treats of the solution of plane triangles . 30 ...
... solution of triangles . Trigonometry is divided into two branches - Plane and Spherical . PLANE TRIGONOMETRY . 29. Definition . Plane Trigonometry is that branch of Trigonometry which treats of the solution of plane triangles . 30 ...
Página 28
... solution of triangles is accomplished by the aid of these functions , since they enable us to ascertain the relations which exist between the sides and angles of triangles . 5. The primary origin will be taken as the common origin of ...
... solution of triangles is accomplished by the aid of these functions , since they enable us to ascertain the relations which exist between the sides and angles of triangles . 5. The primary origin will be taken as the common origin of ...
Página 45
... SOLUTION . Find from the natural function the corresponding angle ; then , from the angle , the corresponding loga- rithmic function . 2d SOLUTION . Let a denote any arc or angle , f ( a ) , any function of a to the radius 1 , and f ( a ) ...
... SOLUTION . Find from the natural function the corresponding angle ; then , from the angle , the corresponding loga- rithmic function . 2d SOLUTION . Let a denote any arc or angle , f ( a ) , any function of a to the radius 1 , and f ( a ) ...
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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.