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 Authors |
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Página 39
Radius may be subtracted by cancelling the Left hand figure of the 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 ...
Radius may be subtracted by cancelling the Left hand figure of the 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 ...
Página 46
A Compass may be so constructed with two Indexes , one moreable 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 ...
A Compass may be so constructed with two Indexes , one moreable 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 ...
Página 75
Radius may be added by placing a Unit before the 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 ...
Radius may be added by placing a Unit before the 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 ...
Página 145
The whole Number in Logarithms , or the Number which stands at the Left hand of the Decimal Point is called the Index ; and is always a Unit less than the places of figures in the whole Number for which it is theLogarithm : Thus ...
The whole Number in Logarithms , or the Number which stands at the Left hand of the Decimal Point is called the Index ; and is always a Unit less than the places of figures in the whole Number for which it is theLogarithm : Thus ...
Página 145
This is also the Log . of 762.4 or 76.24 , & c . varying the Index according to the preceding directions . 2. Required the Logarithm of 541.25 Log . of 542 .73400 541 .73320 Difference 80 Remaining figures of the given Numb .
This is also the Log . of 762.4 or 76.24 , & c . varying the Index according to the preceding directions . 2. Required the Logarithm of 541.25 Log . of 542 .73400 541 .73320 Difference 80 Remaining figures of the given Numb .
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A System of Geometry and Trigonometry: Together with a Treatise on Surveying ... Able Flint Sin vista previa disponible - 2017 |
A System of Geometry and Trigonometry: Together with a Treatise on Surveying ... Able Flint Sin vista previa disponible - 2017 |
Términos y frases comunes
according accurately added Angle Arch Base Bearing calculated called Chains Circle Circumference Compass contained Course Decimals Departure Column describe Diagonal Difference directions Dist Distance divided Draw the Line drawn Eastings equal EXAMPLE Field FIELD BOOK figures find the Area four fourth give given greater half hand Hypothenuse Index Land Latitude and Departure Left Leg BC length less Line Links Logarithm look measuring method Minutes multiply Natural Sines North North Areas Note opposite particular Perpendicular PLATE Plot Point preceding PROBLEM Product Proportions protract Quotient Radius Remainder represent Right Angled Rule Scale Secant Secant Co-Secant Side Side BC Sine Sine Sine South Areas Square Square Root Star Station subtract Suppose Surveying Surveyor Table Tang Tangent Tangent Co-Secant third Trapezoid Triangle Trigonometry true West whole
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.