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 13
... represent the perpendicular height of the Rhombus and Rhomboides . 46. A Trapezoid is a Figure bounded by four Sides , two of which are parallel though of unequal lengths . Fig . 19. and Fig . 20 . Note . Fig . 19. is sometimes called a ...
... represent the perpendicular height of the Rhombus and Rhomboides . 46. A Trapezoid is a Figure bounded by four Sides , two of which are parallel though of unequal lengths . Fig . 19. and Fig . 20 . Note . Fig . 19. is sometimes called a ...
Page 43
... represent that Corner of the Field : Then with the Side CD 21.50 and the Side AD 14.70 describe cross Arches as at D , from A and C as Cen- tres ; and the Point of intersection will represent that Corner of the Field . To find the Area ...
... represent that Corner of the Field : Then with the Side CD 21.50 and the Side AD 14.70 describe cross Arches as at D , from A and C as Cen- tres ; and the Point of intersection will represent that Corner of the Field . To find the Area ...
Page 46
... represent a Meridian or North and South Line , from which lay off the Bearing or Course of the first Side of the Field , with a Protractor or from a Line of Chords ; and from a Scale of equal Parts . measure the length of the Side and ...
... represent a Meridian or North and South Line , from which lay off the Bearing or Course of the first Side of the Field , with a Protractor or from a Line of Chords ; and from a Scale of equal Parts . measure the length of the Side and ...
Page 55
... represent the several Sides of the Field . CASE VIII . To survey an inaccessible Field . Fix upon two Stations , at a convenient distance from be seen ; from each Station take the Bearing of the Field , from each of which the several ...
... represent the several Sides of the Field . CASE VIII . To survey an inaccessible Field . Fix upon two Stations , at a convenient distance from be seen ; from each Station take the Bearing of the Field , from each of which the several ...
Page 56
... Proceed in the same manner round the Field . In the Figure the dotted Lines represent the stationary Lines , and the black Lines the Boundaries · Bearing and Distance . FIELD BOOK . Offsets Bearing and of the Field . 56 SURVEYING .
... Proceed in the same manner round the Field . In the Figure the dotted Lines represent the stationary Lines , and the black Lines the Boundaries · Bearing and Distance . FIELD BOOK . Offsets Bearing and of the Field . 56 SURVEYING .
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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.