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 AuthorsCooke & Hale, 1818 - 168 páginas |
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Página 15
... suppose 36. Fig . 27 . Draw the Line AB to any convenient length ; from a Scale of Chords take 60 Degrees with the Dividers , and with one foot in B describe an Arch from the Line AB ; from the same Scale take the given number of ...
... suppose 36. Fig . 27 . Draw the Line AB to any convenient length ; from a Scale of Chords take 60 Degrees with the Dividers , and with one foot in B describe an Arch from the Line AB ; from the same Scale take the given number of ...
Página 16
... suppose of 110 Degrees . Fig . 28 . Take a Chord of 60 Degrees as before , and describe an Arch greater than a Quadrant ; set off 90 Degrees from B to C , and from C to E set off the excess above 90 , which is 20 ; draw a Line from G ...
... suppose of 110 Degrees . Fig . 28 . Take a Chord of 60 Degrees as before , and describe an Arch greater than a Quadrant ; set off 90 Degrees from B to C , and from C to E set off the excess above 90 , which is 20 ; draw a Line from G ...
Página 17
... Suppose the Angle at C 33o 15 ' , and the Leg AC 285 . Draw the Leg AC making it in length 285 ; at A erect a Perpendicular an indefinite length ; at C make an An- gle of 33o 15 ' ; through where that number of Degrees cuts the Arch ...
... Suppose the Angle at C 33o 15 ' , and the Leg AC 285 . Draw the Leg AC making it in length 285 ; at A erect a Perpendicular an indefinite length ; at C make an An- gle of 33o 15 ' ; through where that number of Degrees cuts the Arch ...
Página 18
... Suppose the side BC 98 ; the Angle at B 45 ° 15 ' , the Angle at D 108o 30 ' , consequently the other Angle 26 ° 15 ' . Draw the side BC in length 98 ; on the Point B make - an Angle of 45 ° 15 ' ; on the Point C make an Angle of 26o 15 ...
... Suppose the side BC 98 ; the Angle at B 45 ° 15 ' , the Angle at D 108o 30 ' , consequently the other Angle 26 ° 15 ' . Draw the side BC in length 98 ; on the Point B make - an Angle of 45 ° 15 ' ; on the Point C make an Angle of 26o 15 ...
Página 37
... the other Remainder ; the Square Root of the last Pro- duct will be the Area . EXAMPLE . Suppose a Triangle whose three Sides are 24 + 20 + 18 = 62 , the Sum 24 , 20 and 18 Chains . Demanded the Area . SURVEYING EYING . 37.
... the other Remainder ; the Square Root of the last Pro- duct will be the Area . EXAMPLE . Suppose a Triangle whose three Sides are 24 + 20 + 18 = 62 , the Sum 24 , 20 and 18 Chains . Demanded the Area . SURVEYING EYING . 37.
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 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...
Página 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.
Página 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...
Página 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.
Página 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.
Página 10 - The radius of a circle is a line drawn from the centre to the circumference, as A, B.
Página 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.
Página 27 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.