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 AuthorsOliver D. Cooke, 1808 - 168 páginas |
Dentro del libro
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Página 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 ...
Página 14
... PLATE 1. Fig .22 . With the Dividers take the nearest distance between the Point D and the given Line AB ; with that dis- tance 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 dis- tance set one foot of the Dividers any where on the Line AB , as at E , and draw the Arch C ; through the Point D ...
Página 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 distance in the Dividers , deseribe Arches inter- secting ...
... 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 distance in the Dividers , deseribe Arches inter- secting ...
Página 20
... PLATE II . Figure 44. it is plain from PLATE I. Fig . 7. compared with , the Geometrical Definitions to which that Figure refers , that if the Hy- pothenuse AC be made Radius , and with it an Arch of a Circle be described from each end ...
... PLATE II . Figure 44. it is plain from PLATE I. Fig . 7. compared with , the Geometrical Definitions to which that Figure refers , that if the Hy- pothenuse AC be made Radius , and with it an Arch of a Circle be described from each end ...
Página 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 , 72 ° : 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 , 72 ° : Side AB ...
Otras ediciones - Ver todas
System of Geometry and Trigonometry: Together with a Treatise on Surveying ... Abel Flint Sin vista previa disponible - 2017 |
System of Geometry and Trigonometry: Together With a Treatise on Surveying ... Abel Flint Sin vista previa disponible - 2017 |
Términos y frases comunes
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
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, etc.
Página 31 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
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 10 - The Radius of a circle is a line drawn from the centre to the circumference.
Página 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...
Página 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.
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 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.
Página 27 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Página 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.