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 Find 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 : Compiled from Various Authors |
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Page 35
... Links , each containing 7 Inches and 92 Hun- dredths . Consequently , 1 Square Chain contains 16 Square Rods , and 10 Square Chains make 1 Acre . In small Fields , or where the Land is uneven , as is the case with a great part of the ...
... Links , each containing 7 Inches and 92 Hun- dredths . Consequently , 1 Square Chain contains 16 Square Rods , and 10 Square Chains make 1 Acre . In small Fields , or where the Land is uneven , as is the case with a great part of the ...
Page 36
... Links if any : Thus , 16 Two Rod Chains and 37 Links make 8 Four Rod Chains and 37 Links . But if the number of Chains be odd , take half the greatest even number for Chains , and for the remain- ing number add 50 to the Links : Thus ...
... Links if any : Thus , 16 Two Rod Chains and 37 Links make 8 Four Rod Chains and 37 Links . But if the number of Chains be odd , take half the greatest even number for Chains , and for the remain- ing number add 50 to the Links : Thus ...
Page 37
... Links to Acres . RULE . Divide by 100000 ; or , which is the same thing , cut off the 5 Right hand figures : Thus , 3845120 Square Links make 38 Acres and 45120 Decimals . Note . When the Area of a Field , by which is meant its Super ...
... Links to Acres . RULE . Divide by 100000 ; or , which is the same thing , cut off the 5 Right hand figures : Thus , 3845120 Square Links make 38 Acres and 45120 Decimals . Note . When the Area of a Field , by which is meant its Super ...
Page 42
... Links , they may be rejected ; remembering to cut off a proper num- ber of figures according to Decimal Rules . Observe , That in measuring with a Chain , slant or inclined Surfaces , as the Sides of Hills , should be mea- sured ...
... Links , they may be rejected ; remembering to cut off a proper num- ber of figures according to Decimal Rules . Observe , That in measuring with a Chain , slant or inclined Surfaces , as the Sides of Hills , should be mea- sured ...
Page 57
... Links and make the Offset H 2 , 140 Links ; measure from A to I 826 Links and make the Offset I 3 , 36 Links ; at B make the Offset B 4 , 36 Links . Proceed in the same manner round the Field , and connect the ends of the Offsets by ...
... Links and make the Offset H 2 , 140 Links ; measure from A to I 826 Links and make the Offset I 3 , 36 Links ; at B make the Offset B 4 , 36 Links . Proceed in the same manner round the Field , and connect the ends of the Offsets by ...
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System of Geometry and Trigonometry: Together with a Treatise on Surveying ... Abel Flint No preview available - 2017 |
System of Geometry and Trigonometry: Together With a Treatise on Surveying ... Abel Flint No preview available - 2017 |
Popular passages
Page 28 - 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 27 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Page 6 - The Circumference of every circle is supposed to be divided into 360 equal parts, called Degrees ; and each degree into 60 Minutes, each minute into 60 Seconds, and so on.
Page 24 - In this case the" hypothenuse may be found by the square root without finding the angles ; according to the following PROPOSITION. IN EVERY RIGHT ANGLED TRIANGLE, THE SUM OF THE SQUARES OF THE TWO LEGS IS EQUAL TO THE SQUARE OF THE HYPOTHENUSE. In the above EXAMPLE, the square of AB 78.7 is 6193.69, the square of BC 89 is 7921 ; these added make 14114,69 the square root of which is nearest 119.
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 33 - To find the area of a trapezoid. RULE. Multiply half the sum of the two parallel sides by the perpendicular distance between them : the product will be the area.
Page 6 - Therefore all radii of the same circle are equal. 13. The diameter of a circle is a right line drawn from one side of the circumference to the other, passing through the centre ; and it divides the circle into two equal parts, called semicircles ; as AB or DE.
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.
Page 23 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.