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 ... |
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Página 39
One Side , 105 2.02119 The other Side , 85 1.92942 Sine Angle , 28 ° 5 ' 9.67280
13.62341 10.00000 Subtract Radius ... Radius may be subtracted by cancelling
the Left hand figure of the Index , or subtracting 10 , without the trouble of setting
...
One Side , 105 2.02119 The other Side , 85 1.92942 Sine Angle , 28 ° 5 ' 9.67280
13.62341 10.00000 Subtract Radius ... Radius may be subtracted by cancelling
the Left hand figure of the Index , or subtracting 10 , without the trouble of setting
...
Página 61
... and the Eastings and Westings may be equalled by balancing them , as follows
: Subtract one half the difference from that ... and let the difference to be added or
subtracted be divided among the several Courses according to their length .
... and the Eastings and Westings may be equalled by balancing them , as follows
: Subtract one half the difference from that ... and let the difference to be added or
subtracted be divided among the several Courses according to their length .
Página 62
This Column is formed by a continual addition of the Eastings and subtraction of
the Westings ; or by adding the Westings and subtracting the Eastings . See
EXAMPLE I. The first Easting 20.74 is set for the first number in the Departure
Column ...
This Column is formed by a continual addition of the Eastings and subtraction of
the Westings ; or by adding the Westings and subtracting the Eastings . See
EXAMPLE I. The first Easting 20.74 is set for the first number in the Departure
Column ...
Página 66
Therefore the North Areas subtracted from the South , the Remainder will be
double the Area of the Field , contained within the black Lines . Additional
Directions and Explanations . The Northings and Southings may be added and
subtracted ...
Therefore the North Areas subtracted from the South , the Remainder will be
double the Area of the Field , contained within the black Lines . Additional
Directions and Explanations . The Northings and Southings may be added and
subtracted ...
Página 67
In the above EXAMPLE you might begin at the 4th Course to add the Westings
and subtract the Eastings ; or at the 6th Course to add the Northings and subtract
the Southings ; or at the 11th Course to add the Southings and subtract the ...
In the above EXAMPLE you might begin at the 4th Course to add the Westings
and subtract the Eastings ; or at the 6th Course to add the Northings and subtract
the Southings ; or at the 11th Course to add the Southings and subtract the ...
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SYSTEM OF GEOMETRY & TRIGONOME Abel 1765-1825 Flint,George Gillet,Frederick a. P. (Frederick Augu Barnard Sin vista previa disponible - 2016 |
SYSTEM OF GEOMETRY & TRIGONOME Abel 1765-1825 Flint,George Gillet,Frederick a. P. (Frederick Augu Barnard Sin vista previa disponible - 2016 |
Términos y frases comunes
according accurately added Angle Angled Triangle Arch Base Bearing calculated called Circle Co-Sine Sine Compass contained Course Decimals describe Diagonal Difference directions Dist Distance divided double draw drawn Elongation equal EXAMPLE Field FIELD BOOK Figure find the Angle find the Area four fourth give given greater half hand Hypothenuse known Land Left Leg BC length less Line Links Logarithms manner measuring method Minutes multiply Natural Sines Needle North North Areas Note observe opposite parallel particular Perpendicular PLATE Plot Point practice preceding PROBLEM Product Proportion protract Quotient Radius Remainder represent Right Angled Roods Rule Secant Co-Secant seen Side Sine Co-Sine Sine Sine Sine Square Square Root Star Station subtract Surveying Surveyor Table Tang Tangent Co-Secant Secant third Trapezoid Triangle TRIGONOMETRY true whole
Pasajes populares
Página 28 - 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 27 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 6 - The Circumference of every circle is supposed to be divided into 360 equal parts, called Degrees ; and each degree into 60 Minutes, each minute into 60 Seconds, and so on.
Página 24 - In this case the" hypothenuse may be found by the square root without finding the angles ; according to the following PROPOSITION. IN EVERY RIGHT ANGLED TRIANGLE, THE SUM OF THE SQUARES OF THE TWO LEGS IS EQUAL TO THE SQUARE OF THE HYPOTHENUSE. In the above EXAMPLE, the square of AB 78.7 is 6193.69, the square of BC 89 is 7921 ; these added make 14114,69 the square root of which is nearest 119.
Página 40 - 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 33 - To find the area of a trapezoid. RULE. Multiply half the sum of the two parallel sides by the perpendicular distance between them : the product will be the area.
Página 6 - Therefore all radii of the same circle are equal. 13. The diameter of a circle is a right line drawn from one side of the circumference to the other, passing through the centre ; and it divides the circle into two equal parts, called semicircles ; as AB or DE.
Página 40 - 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 23 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Información bibliográfica
| Título | 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 ... |
| Autor | Abel Flint |
| Compilado por | Abel Flint |
| Editor | Oliver D. Cooke, 1804 |
| Procedencia del original | Universidad de Michigan |
| Digitalizado | 29 Mayo 2007 |
| Largo | 168 páginas |
| Exportar cita | BiBTeX EndNote RefMan |