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 |
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Página 1
... Difference of Latitude and Departure , without imparing their use , in their application to most cases which occur in common Surveying , and supplying any possible defect by a Table of Natural Sines , to comprise , in the limits of a ...
... Difference of Latitude and Departure , without imparing their use , in their application to most cases which occur in common Surveying , and supplying any possible defect by a Table of Natural Sines , to comprise , in the limits of a ...
Página 8
... difference between the present Variation , and that at a time when a Tract was formerly surveyed , in order to trace or run out the original lines . The Mathematical Tables , are A Traverse Table , ar Table of Difference of Latitude and ...
... difference between the present Variation , and that at a time when a Tract was formerly surveyed , in order to trace or run out the original lines . The Mathematical Tables , are A Traverse Table , ar Table of Difference of Latitude and ...
Página 29
... difference between this and the Angle as found by Loga- rithms is occasioned by dividing by 119 , which is not the exact length of the Hypothenuse , it being a Fraction too much . 109 * PART II OBLIQUE TRIGONOMETRY . The solution of the ...
... difference between this and the Angle as found by Loga- rithms is occasioned by dividing by 119 , which is not the exact length of the Hypothenuse , it being a Fraction too much . 109 * PART II OBLIQUE TRIGONOMETRY . The solution of the ...
Página 31
... Difference ; So is the Tangent of half the Sum of the two opposite Angles ; To the Tan- gent of half the Difference between them . Add this half difference to half the Sum of the Angles and you will have the greater Angle ; and subtract ...
... Difference ; So is the Tangent of half the Sum of the two opposite Angles ; To the Tan- gent of half the Difference between them . Add this half difference to half the Sum of the Angles and you will have the greater Angle ; and subtract ...
Página 32
... Difference , 23 ° 20 ′ 9.63459 The half sum of the two unknown Angles , 71 ° 40 ′ The half difference between them , 23 20 Add , gives the greater Angle ACB 95 00 Subtract , gives the lesser Angle ABC 48 20 The Side BC may be found by ...
... Difference , 23 ° 20 ′ 9.63459 The half sum of the two unknown Angles , 71 ° 40 ′ The half difference between them , 23 20 Add , gives the greater Angle ACB 95 00 Subtract , gives the lesser Angle ABC 48 20 The Side BC may be found by ...
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.