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 Necessary for Solving Questions in Trigonometry and Surveying with a Particular Explanation of Those Tables and the Manner of Using Them :compiled from Various Authors |
From inside the book
Results 1-5 of 21
Page 35
... Acre ; which contains 160 Square Rods , Poles or Perches ; or 4 Square Roods , each containing 40 Square Rods . The instrument most in use , for measuring the Sides of Fields , is GUNTER'S Chain , which is in length 4 Rods or 66 Feet ...
... Acre ; which contains 160 Square Rods , Poles or Perches ; or 4 Square Roods , each containing 40 Square Rods . The instrument most in use , for measuring the Sides of Fields , is GUNTER'S Chain , which is in length 4 Rods or 66 Feet ...
Page 36
... Acres ; and 846 Square Chains make 84 Acres and 6 Tenths . PROBLEM VI . To reduce Square 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 ...
... Acres ; and 846 Square Chains make 84 Acres and 6 Tenths . PROBLEM VI . To reduce Square 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 ...
Page 37
... Acres 2 Roods and 21 Rods . PROBLEMS for finding the Area of Right Lined Figures , and also of Circles . PROBLEM VII . To find the Area of a Square or Parallelogram . RULE . Multiply the length into the breadth ; the Pro- duct will be ...
... Acres 2 Roods and 21 Rods . PROBLEMS for finding the Area of Right Lined Figures , and also of Circles . PROBLEM VII . To find the Area of a Square or Parallelogram . RULE . Multiply the length into the breadth ; the Pro- duct will be ...
Page 38
... Acres 2 Roods and 17 Rods . By Logarithms . As the Addition of Logarithms is the same as the Mul- tiplication of their corresponding Numbers ; and as the Number answering to the one half of a Logarithm will be the Square Root of the ...
... Acres 2 Roods and 17 Rods . By Logarithms . As the Addition of Logarithms is the same as the Mul- tiplication of their corresponding Numbers ; and as the Number answering to the one half of a Logarithm will be the Square Root of the ...
Page 41
... Acres 17 ) 61600 4 Roods 2 ) 46400 40 Roods 18 ) 56000 Rods Acres Roods Area 17 2-18.56 --- Note . When there are cyphers at the Right Hand of the Links , they may be rejected ; remembering to cut off a proper number of figures ...
... Acres 17 ) 61600 4 Roods 2 ) 46400 40 Roods 18 ) 56000 Rods Acres Roods Area 17 2-18.56 --- Note . When there are cyphers at the Right Hand of the Links , they may be rejected ; remembering to cut off a proper number of figures ...
Common terms and phrases
70 Dist Acres Rood Rods Angle opposite Answ Bearing and Distance C.Sine Sine C.Tang C.Tang Secant Circle Co-Sine Compass Decimal Degrees and Minutes Diagonal Diameter Doub Double Area double the Area draw a Line Draw the Line FIELD BOOK find the Angles find the Area find the Leg given Leg given number given Side Latitude and Departure Leg AB Leg BC length Logarithmic Sine Mathematical Tables measure multiply N.CS Natural Sines North Areas Note number of Acres number of Degrees opposite Angle Parallelogram Perpendicular PLATE PROBLEM protract Quotient Radius Remainder Rhombus Right Angled Triangle RULE Secant C.Sec second Departure Column Side BC Sine C.Sine Tang Sine C.Tang Tang Sine Sine Sine Sine Tang South Areas Square Chains Square Root stationary Lines subtract survey a Field Surveyor Table of Logarithmic Tangent or Secant Trapezium Trapezoid Triangle ABC TRIGONOMETRY whole Number
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, &c.
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 ii - District, has deposited in this office the title of a book, the right whereof he claims as proprietor, in the words following, to wit : " THE CHILD'S BOTANY," In conformity to the act of the Congress of the United States, entitled, " An act for the encouragement of learning by securing the copies of maps, charts, and books to the authors and proprietors of such copies, during the times therein mentioned...
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 ii - RILEY, of the said district, hath deposited in this office the title of a book, the right whereof he claims as proprietor, in the words and figures following, to wit : " Collections of the New-York Historical Society. For the year 1809. Volume I. Esti nen prosunt singula, juncta juvent...
Page ii - ... encouragement of learning by securing the copies of maps, charts, and books, to the authors and proprietors of such copies, during the times therein mentioned ; " and extending the benefits thereof to the arts of designing, engraving, and etching historical, and other prints.
Page 11 - Fig. 7. 23. The Tangent of an Arch is a Right Line touching the Circumference, and drawn perpendicular to the Diameter ; and 'is terminated by a Line drawn from the Centre through the other end of the Arch ; thus BK is the Tangent of the Arch BH.
Page 10 - The radius of a circle is a line drawn from the centre to the circumference, as A, B.
Page 10 - The chord of an arc of 60 degrees is equal in length to the radius of the circle of which the arc is a part.
Page 27 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.