A Treatise on Surveying: Containing the Theory and Practice : to which is Prefixed a Perspicuous System of Plane Trigonometry : the Whole Clearly Demonstrated and Illustrated by a Large Number of Appropriate Examples, Particularly Adapted to the Use of SchoolsKimber & Sharpless, 1841 - 266 pages |
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Page 6
... dividing of land , which forms the most difficult part of surveying , a variety of problems is introduced , adapted to the cases most likely to occur in practice . This part of the subject , however , presents such a great variety of ...
... dividing of land , which forms the most difficult part of surveying , a variety of problems is introduced , adapted to the cases most likely to occur in practice . This part of the subject , however , presents such a great variety of ...
Page 8
... Dividing Land , Variation of the Compass , Miscellaneous Questions , Theodolite , Levelling ,, Topography , PAGE 9 25 29 35 68 78 81 107 118 163 202 213 217 237 254 EXPLANATION OF THE CHARACTERS USED IN THIS WORK . + signifies plus , or ...
... Dividing Land , Variation of the Compass , Miscellaneous Questions , Theodolite , Levelling ,, Topography , PAGE 9 25 29 35 68 78 81 107 118 163 202 213 217 237 254 EXPLANATION OF THE CHARACTERS USED IN THIS WORK . + signifies plus , or ...
Page 11
... dividing , & c . by them , is contained in the following problems . PROBLEM I. To find the Logarithm of a given number . If the given number consists of one or two figures only , find it in the column marked No. in the first page of the ...
... dividing , & c . by them , is contained in the following problems . PROBLEM I. To find the Logarithm of a given number . If the given number consists of one or two figures only , find it in the column marked No. in the first page of the ...
Page 14
... Subtract this logarithm from the next greater in the table , and also from the given logarithm ; to the latter difference , annex one or two ciphers , according as five or six figures are required , and divide the number 14 LOGARITHMS .
... Subtract this logarithm from the next greater in the table , and also from the given logarithm ; to the latter difference , annex one or two ciphers , according as five or six figures are required , and divide the number 14 LOGARITHMS .
Page 15
... divide the number thus produced , by the former difference ; annex the quotient to the right hand of the four figures already found , and it will give the natural number required . Thus let it be required to find the natural number ...
... divide the number thus produced , by the former difference ; annex the quotient to the right hand of the four figures already found , and it will give the natural number required . Thus let it be required to find the natural number ...
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Common terms and phrases
100 Distance AB² ABCD acres adjacent angles axis bearings and distances centre changed bearing Co-secant Secant Co-sine Co-tang compass decimal Degrees DEMONSTRATION diff difference of latitude difference of level dist divide division line draw equal EXAMPLES feet find the angles find the area fourth term given angle given area given side Given the bearings half height Hence horizontal hypothenuse instrument last problem latitude and departure length line FE line of collimation line of level logarithm measured meridian multiplier natural number off-sets parallel parallelogram parture perches perpendicular pole star prob quired quotient radius Required the area right angles right line right-angled triangle RULE screws side AC Sine square root stake station stationary lines straight line subtract survey take the difference Tangent theodolite tract of land trapezium triangle ABC trigonometry upper telescope vane vernier plate
Popular passages
Page 36 - The angle at the centre of a circle is double of the angle at the circumference, upon the same base, that is, upon the same part of the circumference.
Page 27 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Page 71 - A maypole, whose top was broken off by a blast of wind, struck the ground at 15 feet distance from the foot of the pole: what was the height of the whole maypole, supposing the broken piece to measure 39 feet in length ? Ans.
Page 17 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Page 20 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Page 28 - Sine, or Right Sine, of an arc, is the line drawn from one extremity of the arc, perpendicular to the diameter which passes through the other extremity. Thus, BF is the sine of the arc AB, or of the supplemental arc BDE.
Page 112 - PROBLEM I. To find the area of a parallelogram ; whether it be a square, a rectangle, a rhombus, or a rhomboid**. RULE.* Multiply the length by the perpendicular height, and the product will be the area.
Page 18 - Parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet.
Page 119 - From half the sum of the three sides, subtract each side severally ; multiply the half sum, and the three remainders together, and the square root of the product will be the area required.
Page 54 - To find a side. Call any one of the sides radius, and write upon it the word