Surveying and Navigation: With a Preliminary Treatise on Trigonometry and MensurationWilson, Hinkle & Company, 1873 - 482 páginas |
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Página iv
... have been made accessible to the student . The methods of finding the true meridian and the variation of the needle have been given at length ; also specific direc- tions for finding corners , taking bearings , measuring lines iv PREFACE .
... have been made accessible to the student . The methods of finding the true meridian and the variation of the needle have been given at length ; also specific direc- tions for finding corners , taking bearings , measuring lines iv PREFACE .
Página v
... measuring lines , re- cording field notes , and plotting . In addition to the ordinary 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 ...
... measuring lines , re- cording field notes , and plotting . In addition to the ordinary 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 ...
Página 29
... measured by that arc . Thus , MT , the sine of the arc OT , is the sine of the angle OCT , which is measured by the arc OT ; and similarly for the other arcs and angles . The arcs OT and OT ' are in the first and second quadrants ...
... measured by that arc . Thus , MT , the sine of the arc OT , is the sine of the angle OCT , which is measured by the arc OT ; and similarly for the other arcs and angles . The arcs OT and OT ' are in the first and second quadrants ...
Página 36
... measured by these equal arcs , are equal . The angles CO'S and CO'S ' are equal , since each is a right angle . Hence , the two triangles CO'S and CO'S ' have the common side CO ' , and the two adjacent angles equal , and are therefore ...
... measured by these equal arcs , are equal . The angles CO'S and CO'S ' are equal , since each is a right angle . Hence , the two triangles CO'S and CO'S ' have the common side CO ' , and the two adjacent angles equal , and are therefore ...
Página 37
... measured by T " " O , is equal to the angle OCT , measured by the equal arc OT . The right angles COR and COR ' are equal . Hence , in the triangles having the common FUNCTIONS . 37.
... measured by T " " O , is equal to the angle OCT , measured by the equal arc OT . The right angles COR and COR ' are equal . Hence , in the triangles having the common FUNCTIONS . 37.
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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.