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 Seiten |
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Seite 39
... Index , or subtracting 10 , without the trouble of setting down the Cyphers . By Natural Sines . Multiply the two given Sides into each other , and that Product by the Natural Sine of the given Angle ; the last Product will be double ...
... Index , or subtracting 10 , without the trouble of setting down the Cyphers . By Natural Sines . Multiply the two given Sides into each other , and that Product by the Natural Sine of the given Angle ; the last Product will be double ...
Seite 46
... Indexes , one moveable and the other fixed , as to ascertain the Angle made by two Sides , without reference to the Bearing of those Sides . Such a Compass would be particularly useful in surveying Land where there are mineral ...
... Indexes , one moveable and the other fixed , as to ascertain the Angle made by two Sides , without reference to the Bearing of those Sides . Such a Compass would be particularly useful in surveying Land where there are mineral ...
Seite 75
... Index of the Logarithm for the double Area , without the trouble of setting down the Cyphers . By Natural Sines . Divide the double Area by the Natural Sine of the given Angle , and that Qotient by the given Side ; the last Qotient will ...
... Index of the Logarithm for the double Area , without the trouble of setting down the Cyphers . By Natural Sines . Divide the double Area by the Natural Sine of the given Angle , and that Qotient by the given Side ; the last Qotient will ...
Seite 145
... Index ; and is always a Unit less than the places of figures in the whole Number for which it is the Logarithm : Thus , The Log . of 6543 is · ❤ 3.81578 654.3 65.43 6.543 2.81578 1.81578 0.81578 The Log . of a Decimal Fraction is the ...
... Index ; and is always a Unit less than the places of figures in the whole Number for which it is the Logarithm : Thus , The Log . of 6543 is · ❤ 3.81578 654.3 65.43 6.543 2.81578 1.81578 0.81578 The Log . of a Decimal Fraction is the ...
Seite 146
... Index . EXAMPLES . 1. Required the Logarithm of 7624 Log . of 763 762 Difference · .88252 .88195 57 Remaining figure · 22.8 Log . of 762 88195 · Required Log . 3.88217 Note . This is also the Log . of 762.4 or 76.24 , & c . varying the ...
... Index . EXAMPLES . 1. Required the Logarithm of 7624 Log . of 763 762 Difference · .88252 .88195 57 Remaining figure · 22.8 Log . of 762 88195 · Required Log . 3.88217 Note . This is also the Log . of 762.4 or 76.24 , & c . varying the ...
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System of Geometry and Trigonometry: Together with a Treatise on Surveying ... Abel Flint Keine Leseprobe verfügbar - 2017 |
System of Geometry and Trigonometry: Together With a Treatise on Surveying ... Abel Flint Keine Leseprobe verfügbar - 2017 |
Häufige Begriffe und Wortgruppen
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
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Seite 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.
Seite 31 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Seite 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.
Seite 10 - The Radius of a circle is a line drawn from the centre to the circumference.
Seite 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...
Seite 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.
Seite 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.
Seite 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.
Seite 27 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Seite 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.