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 1
... Secants , and of Difference of Latitude and Depar- ture , without impairing their use , in their application to most cases which occur in common Surveying , and supplying any possible defect by a Table of Natural Sines , to comprise ...
... Secants , and of Difference of Latitude and Depar- ture , without impairing their use , in their application to most cases which occur in common Surveying , and supplying any possible defect by a Table of Natural Sines , to comprise ...
Page 3
... Secants , and of Difference of Latitude and Depar- ture , without impairing their use , in their application to most cases which occur in common Surveying , and supplying any possible defect by a Table of Natural Sines , to comprise ...
... Secants , and of Difference of Latitude and Depar- ture , without impairing their use , in their application to most cases which occur in common Surveying , and supplying any possible defect by a Table of Natural Sines , to comprise ...
Page 8
... Artificial Sines , Tangents and Secants , calculated for every 5 Minutes of a Degree . To these Tables are prefixed particular explanations of the manner of us ing them . GEOMETRY . GEOMETRY is a Science which treats of the viii PREFACE .
... Artificial Sines , Tangents and Secants , calculated for every 5 Minutes of a Degree . To these Tables are prefixed particular explanations of the manner of us ing them . GEOMETRY . GEOMETRY is a Science which treats of the viii PREFACE .
Page 11
... Secant of an Arch is a Line drawn from the Centre through one end of the Arch till it meets the Tangent ; thus CK is the Secant of the Arch BH . Fig . 7 . 25. The Complement of an Arch is what the Arch wants of 90 Degrees , or a ...
... Secant of an Arch is a Line drawn from the Centre through one end of the Arch till it meets the Tangent ; thus CK is the Secant of the Arch BH . Fig . 7 . 25. The Complement of an Arch is what the Arch wants of 90 Degrees , or a ...
Page 12
... Secant of the Arch ; thus FH is the Sine , DI the Tangent and CI the Secant of the Arch DH ; or they are the Co - Sine , Co - Tangent and Co - Secant of the Arch BH . Fig 7 . 28. The measure of an Angle is the Arch of a Circle contained ...
... Secant of the Arch ; thus FH is the Sine , DI the Tangent and CI the Secant of the Arch DH ; or they are the Co - Sine , Co - Tangent and Co - Secant of the Arch BH . Fig 7 . 28. The measure of an Angle is the Arch of a Circle contained ...
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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.