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 13
... Trapezoid is a Figure bounded by four Sides , two of which are parellel though of unequal lengths . Fig . 19. and Fig . 20 . Note . Fig . 19. is sometimes called a Right Angled 47. A Trapezium is a Figure bounded by four un Trapezium ...
... Trapezoid is a Figure bounded by four Sides , two of which are parellel though of unequal lengths . Fig . 19. and Fig . 20 . Note . Fig . 19. is sometimes called a Right Angled 47. A Trapezium is a Figure bounded by four un Trapezium ...
Page 39
... Trapezoid . RULE . Multiply half the Sum of the two parallel Sides by the perpendicular distance between them , or the sum of the two parallel Sides by half the perpen- dicular distance ; the Product will be the Area . PROBLEM XI . To ...
... Trapezoid . RULE . Multiply half the Sum of the two parallel Sides by the perpendicular distance between them , or the sum of the two parallel Sides by half the perpen- dicular distance ; the Product will be the Area . PROBLEM XI . To ...
Page 57
... Trapezoids Parallel- ograms and Triangles made by the Stationary Lines , Offsetts and boundary Lines , and add the ... Trapezoid AH21 : Again , add 140 the Offset H2 to 36 the Offset 13 and multiply their Sum 176 by half 286 the length ...
... Trapezoids Parallel- ograms and Triangles made by the Stationary Lines , Offsetts and boundary Lines , and add the ... Trapezoid AH21 : Again , add 140 the Offset H2 to 36 the Offset 13 and multiply their Sum 176 by half 286 the length ...
Page 58
... Trapezoid HI32 . Proceed in the same manner to calculate the Area of all the Trape zoids , Triangles , & c . CASE X. To survey a Field by taking Offsets both to the Right and Left ; that is , within and without the Field , as occa- sion ...
... Trapezoid HI32 . Proceed in the same manner to calculate the Area of all the Trape zoids , Triangles , & c . CASE X. To survey a Field by taking Offsets both to the Right and Left ; that is , within and without the Field , as occa- sion ...
Page 59
... Trapezoids , & c . remembering to distinguish those without the stationary Lines from those which are within . Subtract the Area of those within the stationary Lines from the Area of those without , and add the Remainder to the Area ...
... Trapezoids , & c . remembering to distinguish those without the stationary Lines from those which are within . Subtract the Area of those within the stationary Lines from the Area of those without , and add the Remainder to the Area ...
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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.