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 σελίδες |
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Σελίδα 9
... PLATE I. Figure 1. is an Angle , formed by the meeting of the Lines AB and BC . 7. If a right Line CD . Fig . 2. fall upon another Right Line AB , so as to incline to neither side , but make the Angles on each side equal , then those ...
... PLATE I. Figure 1. is an Angle , formed by the meeting of the Lines AB and BC . 7. If a right Line CD . Fig . 2. fall upon another Right Line AB , so as to incline to neither side , but make the Angles on each side equal , then those ...
Σελίδα 14
... PLATE 1. Fig . 22 . With the Dividers take the nearest distance between the Point D and the given Line AB ; with that distance set one foot of the Dividers any where on the Line AB , as at E , and draw the Arch C ; through the Point D ...
... PLATE 1. Fig . 22 . With the Dividers take the nearest distance between the Point D and the given Line AB ; with that distance set one foot of the Dividers any where on the Line AB , as at E , and draw the Arch C ; through the Point D ...
Σελίδα 18
... PLATE II . Fig . 37 . Draw the Line AB the length of the proposed Square ; from B erect a Perpendicular to C and make it of the same length as AB ; from A and C , with the same dis- tance in the Dividers , describe Arches intersecting ...
... PLATE II . Fig . 37 . Draw the Line AB the length of the proposed Square ; from B erect a Perpendicular to C and make it of the same length as AB ; from A and C , with the same dis- tance in the Dividers , describe Arches intersecting ...
Σελίδα 20
... PLATE II . Figure 44 , it is plain from PLATE 1 . Fig . 7. compared with the Geometrical Definitions to which that Figure refers , that if the Hypothenuse AC be made Radius , and with it an Arch of a Circle be describ- ed from each end ...
... PLATE II . Figure 44 , it is plain from PLATE 1 . Fig . 7. compared with the Geometrical Definitions to which that Figure refers , that if the Hypothenuse AC be made Radius , and with it an Arch of a Circle be describ- ed from each end ...
Σελίδα 30
... PLATE II . Figure 47 . In the Triangle ABC , given the Angle at B 48 ° , the Angle at C 72 ° , consequently the Angle at A 60 ° , and the Side AB 200 ; to find the Sides AC and BC . To find the Side AC . As Sine ACB , 720 : Side AB ...
... PLATE II . Figure 47 . In the Triangle ABC , given the Angle at B 48 ° , the Angle at C 72 ° , consequently the Angle at A 60 ° , and the Side AB 200 ; to find the Sides AC and BC . To find the Side AC . As Sine ACB , 720 : Side AB ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 10 - The radius of a circle is a line drawn from the centre to the circumference, as A, B.
Σελίδα 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.
Σελίδα 27 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.