A System of Geometry and Trigonometry: Together with a Treatise on Surveying: Teaching Various Ways of Taking the Survey of a Field; Also to Protract the Same and Fine the Area. Likewise, Rectangular Surveying; Or, an Accurate Method of Calculating the Area of Any Field Arithmetically, Without the Necessity of Plotting It. To the Whole are Added Several Mathematical Tables ... with a Particular Explanation ... and the Manner of Using Them ... |
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Page 7
... rules and directions . The third Section is a particular explanation and demonstration of Rectangular Surveying , or the me- thod of computing the Area of Fields from the Field Notes , by Mathematical Tables , without the necessity of ...
... rules and directions . The third Section is a particular explanation and demonstration of Rectangular Surveying , or the me- thod of computing the Area of Fields from the Field Notes , by Mathematical Tables , without the necessity of ...
Page 8
... Rules for dividing Land and determining the true Course and Distance of dividing Lines , or from one part of a Field to ... Rule to find the difference between the present Variation , and that at a time when a Tract was formerly surveyed ...
... Rules for dividing Land and determining the true Course and Distance of dividing Lines , or from one part of a Field to ... Rule to find the difference between the present Variation , and that at a time when a Tract was formerly surveyed ...
Page 14
... Rule . PROBLEM II . To bisect a given Line ; or to find the middle of it . Fig . 23 . Open the Dividers to any ... Rule from C to D , and where the Rule crosses the Line , as at E , will PROBLEM III . To erect a Perpendicular from the ...
... Rule . PROBLEM II . To bisect a given Line ; or to find the middle of it . Fig . 23 . Open the Dividers to any ... Rule from C to D , and where the Rule crosses the Line , as at E , will PROBLEM III . To erect a Perpendicular from the ...
Page 15
... Rule from C to D and draw a Line from C to the given Line . Perpendiculars may be more readily raised and let fall , by a small Square made of Brass , Ivory or Wood . PROBLEM V. To make an Angle at E , equal to a given Angle ABC . Fig ...
... Rule from C to D and draw a Line from C to the given Line . Perpendiculars may be more readily raised and let fall , by a small Square made of Brass , Ivory or Wood . PROBLEM V. To make an Angle at E , equal to a given Angle ABC . Fig ...
Page 21
... Rules . RULE I. To find a Side either of the Sides may be made Radius , then institute the following Proportion : As the name of the Side given , which will be either Radius , Sine , Tangent or Secant ; Is to the length of the Side ...
... Rules . RULE I. To find a Side either of the Sides may be made Radius , then institute the following Proportion : As the name of the Side given , which will be either Radius , Sine , Tangent or Secant ; Is to the length of the Side ...
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A System of Geometry and Trigonometry: Together with a Treatise on Surveying ... Able Flint No preview available - 2017 |
A System of Geometry and Trigonometry: Together with a Treatise on Surveying ... Able Flint No preview available - 2017 |
Popular passages
Page 26 - As the base or sum of the segments Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base.
Page 23 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Page 8 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Page 25 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Page 25 - The solution of this CASE depends on the following PROPOSITION. In every Plane Triangle, As the Sum of any two Sides ; Is to their Difference ; So is the Tangent of half the Sum of the two opposite Angles ; To the Tangent of half the Difference between them. Add this half difference to half the Sum of the Angles and you will have the greater Angle ; and...
Page 8 - The radius of a circle is a line drawn from the centre to the circumference, as A, B.
Page 40 - Field work and protraction are truly taken and performed ; if not, an error must have been committed in one of them : In such cases make a second protraction ; if this agrees with the former, it is to be presumed the fault is in the Field work ; a re-survey must then be taken.
Page 40 - Let his attention first be directed to the map, and inform him that the top is north, the bottom south, the right hand east, and the left hand west.