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 5
... left to the judg- ment of the practitioner , who , if he is well acquainted with the general principles of his Art , will readily learn to apply those principles to particular cases . The primary design of this treatise is to teach com ...
... left to the judg- ment of the practitioner , who , if he is well acquainted with the general principles of his Art , will readily learn to apply those principles to particular cases . The primary design of this treatise is to teach com ...
Page 39
... Left hand figure of the Index , or subtracting 10 , without the trouble of setting down the Cyphers . By Natural Sines . Multiply the two given Sides into each other ; and that Product by the Natural Sine of the given Angle ; the last ...
... Left hand figure of the Index , or subtracting 10 , without the trouble of setting down the Cyphers . By Natural Sines . Multiply the two given Sides into each other ; and that Product by the Natural Sine of the given Angle ; the last ...
Page 46
... Left hand , West : Lay the Course to the Right or Left of the Meridian Line , according as it is East or West ; and from the upper or lower part of the Line , according as it is North or South . In all protractions , if the end of the ...
... Left hand , West : Lay the Course to the Right or Left of the Meridian Line , according as it is East or West ; and from the upper or lower part of the Line , according as it is North or South . In all protractions , if the end of the ...
Page 53
... Left hand figure , without the trouble of putting down the Cyphers and subtracting . Triangle aAB . aA , 8.70 Triangle aCD . 0.93952 aC , 11.40 1.05690 aB , 10 1.00000 aD , 10.50 1.02119 Sine AaB , 80 ° 9.99335 Sine CaD , 78 ° 9.99040 ...
... Left hand figure , without the trouble of putting down the Cyphers and subtracting . Triangle aAB . aA , 8.70 Triangle aCD . 0.93952 aC , 11.40 1.05690 aB , 10 1.00000 aD , 10.50 1.02119 Sine AaB , 80 ° 9.99335 Sine CaD , 78 ° 9.99040 ...
Page 58
... Left ; that is , within and without the Field , as occa- sion shall require , in consequence of the Stationary Lines crossing the boundary Lines : Also , by Intersections , that is , taking the Bearing of an inaccessible Corner from two ...
... Left ; that is , within and without the Field , as occa- sion shall require , in consequence of the Stationary Lines crossing the boundary Lines : Also , by Intersections , that is , taking the Bearing of an inaccessible Corner from two ...
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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.