## Surveying and Navigation: With a Preliminary Treatise on Trigonometry and Mensuration |

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adjacent adjusted altitude angle base bearing becomes changes circle co-sine co-tangent compass corner correction corresponding cosec course denote departure difference direction dist distance divided draw east equal established Examples feet field notes find the area formulas function given gives height Hence horizontal included increases intersection land latitude length less logarithm marked measured meridian method middle miles minus needle negative opposite parallel passes perpendicular plane positive principles Problem quadrant radius range reading respectively sailing screw ship side sine solution square stake station Substituting surface survey taken Tang tangent telescope township triangle true turn values variation vernier vertical volume

### Popular passages

Page 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.

Page 94 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.

Page 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.

Page 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.

Page 22 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 108 - That is, the sines of the sides of a spherical triangle are proportional to the sines of the opposite angles.

Page 10 - The integral part of a logarithm is called the characteristic and the decimal part is called the mantissa.

Page 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...

Page 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.

Page 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.