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 |
From inside the book
Results 1-5 of 15
Page 14
... draw a Line parallel to another Line at any given distance ; as at the Point D , to make a Line , parallel to the Line AB . PLATE 1. Fig .22 . With the Dividers take the nearest distance between the Point D and the given Line AB ; with ...
... draw a Line parallel to another Line at any given distance ; as at the Point D , to make a Line , parallel to the Line AB . PLATE 1. Fig .22 . With the Dividers take the nearest distance between the Point D and the given Line AB ; with ...
Page 15
... draw a Line from H to D , and one Line will be perpendicular to the other . Note . There are other methods of erecting a Per- pendicular , but this is the most simple . PROBLEM IV . From a given Point , as at C , to drop a Perpendicular ...
... draw a Line from H to D , and one Line will be perpendicular to the other . Note . There are other methods of erecting a Per- pendicular , but this is the most simple . PROBLEM IV . From a given Point , as at C , to drop a Perpendicular ...
Page 16
... Lines , as BO , BL , LO . Fig . 29 . Draw the Line BL from B to L ; from B , with the length of the Line BO , describe an Arch as at O ; from L , with the length of the Line LO , describe another Arch to intersect the former ; from O draw ...
... Lines , as BO , BL , LO . Fig . 29 . Draw the Line BL from B to L ; from B , with the length of the Line BO , describe an Arch as at O ; from L , with the length of the Line LO , describe another Arch to intersect the former ; from O draw ...
Page 17
... Draw the Leg AC making it in length 285 ; at A erect a Perpendicular an indefinite length ; at C make an Angle of 33 ° 15 ′ ; through where that number of Degrees cuts the Arch draw a Line till it meets the Per- pendicular at B. Note ...
... Draw the Leg AC making it in length 285 ; at A erect a Perpendicular an indefinite length ; at C make an Angle of 33 ° 15 ′ ; through where that number of Degrees cuts the Arch draw a Line till it meets the Per- pendicular at B. Note ...
Page 18
... Draw the Side BC in length 160 ; at C make an An- gle of 29 ° 9 ' , and draw an indefinite Line through where the Degrees cut the Arch ; take 79 in the Di- viders , and with one foot in B lay the other on the Line CD ; the point D will ...
... Draw the Side BC in length 160 ; at C make an An- gle of 29 ° 9 ' , and draw an indefinite Line through where the Degrees cut the Arch ; take 79 in the Di- viders , and with one foot in B lay the other on the Line CD ; the point D will ...
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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 |
Common terms and phrases
Angle opposite Bearing and Distance C.Tang Chord Circle Circumference Co-Sine Sine Compass contained Angle Decimals Degrees and Minutes Dep Lat Diagonal Difference Dist divided Doub Double Area double the Area draw a Line Draw the Line EXAMPLE FIELD BOOK find the Angles find the Area find the Leg given Leg given number given Side Lat Dep Latitude and Departure Leg AB Leg BC length Loga Logarithmic Sine measuring Meridian multiply Natural Sines North Areas Note number of Acres number of Degrees Offset opposite Angle Parallelogram PLATE Plot PROB PROBLEM protract Quotient Radius Remainder Rhombus Right Angled Triangle RULE Secant Co-Secant Side BC Sine Co-Sine Tangent Sine Sine Sine South Areas Square Chains Square Links Square Root stationary Lines subtract survey a Field Surveyor Table of Logarithms Table of Natural Tangent Co-Secant Secant Tangent or Secant Trapezium Trapezoid Triangle ABC TRIGONOMETRY
Popular passages
Page 10 - 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, etc.
Page 31 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Page 32 - 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 10 - The Radius of a circle is a line drawn from the centre to the circumference.
Page 78 - Go to any part of the premises where any two adjacent corners are known ; and if one can be seen from the other, take their bearing ; which, compared with that of the same line in the former survey, shows the difference. But if one corner cannot be seen from the other, run the line according to the given bearing, and observe the nearest distance between the line so run and the corner ; then...
Page 44 - 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 14 - Figures which consist of more than four sides' are called polygons; if the sides are equal to each other they are called regular polygons, and are sometimes named from the number of their sides, as pentagon, or hexagon, a figure of five or six sides, &c.; if the sides are unequal, they are called irregular polygons.
Page 44 - 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 27 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Page 39 - To find the area of a trapezoid. RULE. — Multiply half the sum of the parallel sides by the altitude, and the product is the area.