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 4
... half the size occupied by others ; and any inconvenience which might result from such reduction is obviated by the insertion of a Table of Natural Sines , not usually found in works of this nature . The Surveyor who shall own this will ...
... half the size occupied by others ; and any inconvenience which might result from such reduction is obviated by the insertion of a Table of Natural Sines , not usually found in works of this nature . The Surveyor who shall own this will ...
Page 11
... half the Chord of double the Arch ; thus HL is the Sine of the Arch HB . Fig . 7 . 21. The Sines on the same Diameter increase in length till they come to the Centre , and so become the Radius . Hence it is plain that the Radius CD Fig ...
... half the Chord of double the Arch ; thus HL is the Sine of the Arch HB . Fig . 7 . 21. The Sines on the same Diameter increase in length till they come to the Centre , and so become the Radius . Hence it is plain that the Radius CD Fig ...
Page 14
... half the given Line AB , and with one foot in A describe an Arch above and below the Line , as at C and D ; with the same distance , and one foot in B de- scribe Arches to cross the former ; lay a Rule from C to D , and where the Rule ...
... half the given Line AB , and with one foot in A describe an Arch above and below the Line , as at C and D ; with the same distance , and one foot in B de- scribe Arches to cross the former ; lay a Rule from C to D , and where the Rule ...
Page 24
... half . As the Table of Artificial or Logarithmic Sines , Tangents and Secants contained in this Book , is calcu- lated only for every 5 Minutes of a Degree , whenever any Question is to be solved where the Minutes cannot be found in ...
... half . As the Table of Artificial or Logarithmic Sines , Tangents and Secants contained in this Book , is calcu- lated only for every 5 Minutes of a Degree , whenever any Question is to be solved where the Minutes cannot be found in ...
Page 31
... half the Sum of the two opposite Angles ; To the Tan- gent 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 substract the half Difference In the ...
... half the Sum of the two opposite Angles ; To the Tan- gent 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 substract the half Difference In the ...
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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.