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 20
... fourth may be found ; either by measuring with a Scale and Dividers , according to the PROBLEMS in GEOMETRY , or more accurately by calculation with Logarithms , or with Natural Sines . TRIGONOMETRY is divided into two Parts , Rectan ...
... fourth may be found ; either by measuring with a Scale and Dividers , according to the PROBLEMS in GEOMETRY , or more accurately by calculation with Logarithms , or with Natural Sines . TRIGONOMETRY is divided into two Parts , Rectan ...
Page 22
... fourth Term , which seek in the Tables and find its cor- responding Number or Degrees and Minutes . See the Introduction to the Table of Logarithms ; which should be attentively studied by the Learner be- fore he proceeds any further ...
... fourth Term , which seek in the Tables and find its cor- responding Number or Degrees and Minutes . See the Introduction to the Table of Logarithms ; which should be attentively studied by the Learner be- fore he proceeds any further ...
Page 49
... fourth and fifth Courses are one Southerly and the other Northerly and both Westerly . According to RULE 2. 37 ° the fourth Course added to 49 ° the fifth Course , the Sum 86 ° is the Angle at E. A little practice will render this mode ...
... fourth and fifth Courses are one Southerly and the other Northerly and both Westerly . According to RULE 2. 37 ° the fourth Course added to 49 ° the fifth Course , the Sum 86 ° is the Angle at E. A little practice will render this mode ...
Page 62
... fourth East- ing , and it makes 84.72 for the fourth number ; the fifth Course being South , it is evident the Meridian Dis- tance will remain the same , therefore place against it the same Easting as for the preceding Course ; from ...
... fourth East- ing , and it makes 84.72 for the fourth number ; the fifth Course being South , it is evident the Meridian Dis- tance will remain the same , therefore place against it the same Easting as for the preceding Course ; from ...
Page 63
... fourth the third and fourth ; and so on till the Column be com- pleted . See EXAMPLE I. The first number to be placed in the second Depart- ure Column is 20.74 ; to this add 45.12 and it makes 65.86 for the second number ; to 45.12 add ...
... fourth the third and fourth ; and so on till the Column be com- pleted . See EXAMPLE I. The first number to be placed in the second Depart- ure Column is 20.74 ; to this add 45.12 and it makes 65.86 for the second number ; to 45.12 add ...
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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.