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 41
... Bearings or Courses of the Sides , or the Quantity of the several Angles , as found by a Compass , or other instrument for that purpose ; together with such Re- marks as the Surveyor thinks proper to make in the Field . CASE I. To ...
... Bearings or Courses of the Sides , or the Quantity of the several Angles , as found by a Compass , or other instrument for that purpose ; together with such Re- marks as the Surveyor thinks proper to make in the Field . CASE I. To ...
Page 46
... Bearing or Course with a Compass ; enter these in a Field Book ; plot the Field on Paper , and calculate the Area by the directions already given . To protract or draw a Map of a Field . Draw a Line to represent a Meridian or North and ...
... Bearing or Course with a Compass ; enter these in a Field Book ; plot the Field on Paper , and calculate the Area by the directions already given . To protract or draw a Map of a Field . Draw a Line to represent a Meridian or North and ...
Page 47
... Bearing of the Sides . The other Angles and the Side EB may be found by OBLIQUE TRIGONOMETRY , CASE III ; and then there will be the three Sides to find the Area . In the Triangle EBC , the Side BC is known from the FIELD BOOK , and the ...
... Bearing of the Sides . The other Angles and the Side EB may be found by OBLIQUE TRIGONOMETRY , CASE III ; and then there will be the three Sides to find the Area . In the Triangle EBC , the Side BC is known from the FIELD BOOK , and the ...
Page 48
... Bearing of one of the Sides is Northerly and the other Southerly , one East- erly and the other Westerly , subtract the less Course from the greater ; the Remainder will be the Angle between them . RULE 2. If one is Northerly and the ...
... Bearing of one of the Sides is Northerly and the other Southerly , one East- erly and the other Westerly , subtract the less Course from the greater ; the Remainder will be the Angle between them . RULE 2. If one is Northerly and the ...
Page 53
... Bearing of the Angles , and measure their Distance from the Station . FIELD BOOK . See PLATE III . Fig , 61 , From Station to A. N. 20 ° W. Ch . L. 8.70 B. N. 60 E. 10 . C. N. 87 E. 11.40 D. S. 15 E. 10.50 E. S. 60 W. 12 . F. N. 65 W. 8 ...
... Bearing of the Angles , and measure their Distance from the Station . FIELD BOOK . See PLATE III . Fig , 61 , From Station to A. N. 20 ° W. Ch . L. 8.70 B. N. 60 E. 10 . C. N. 87 E. 11.40 D. S. 15 E. 10.50 E. S. 60 W. 12 . F. N. 65 W. 8 ...
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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.