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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Seite v
... than has yet been published , of RECTANGULAR SURVEYING , or the method
of calculating the Area of Fields Arithmetically , without drawing a plot of them
and measuring with a Scale and Dividers , as has been the common practice ;
and ...
... than has yet been published , of RECTANGULAR SURVEYING , or the method
of calculating the Area of Fields Arithmetically , without drawing a plot of them
and measuring with a Scale and Dividers , as has been the common practice ;
and ...
Seite 40
... which Diagonals must be so drawn as not to intersect each other : Then find
the Area of each of the several Triangles or Trapezia , and add them together ;
the Sum will be the Area of the whole Figure . Notc . A little practice will suggest
the ...
... which Diagonals must be so drawn as not to intersect each other : Then find
the Area of each of the several Triangles or Trapezia , and add them together ;
the Sum will be the Area of the whole Figure . Notc . A little practice will suggest
the ...
Seite 76
The preceding , however , will be found most useful in actual practice , Other
instruments besides those mentioned in this Book are also sometimes used ;
such as the Plain Table , Semicircle , Perambulator , Theodolite , & c . But of
these ...
The preceding , however , will be found most useful in actual practice , Other
instruments besides those mentioned in this Book are also sometimes used ;
such as the Plain Table , Semicircle , Perambulator , Theodolite , & c . But of
these ...
Seite 79
By practice and experience a knowledge will be acquired on this subject , and
with regard to many other things in Surveying , which cannot be taught by Books ;
and after all the directions which can be written the Practitioner will frequently find
...
By practice and experience a knowledge will be acquired on this subject , and
with regard to many other things in Surveying , which cannot be taught by Books ;
and after all the directions which can be written the Practitioner will frequently find
...
Seite 145
If the Log . of any Number between 10 and 100 , with two places of Decimals , be
required , take the nearest number of tenths , which will be sufficiently exact for
common practice . But , if great accuracy be desired , work by Natura ] Sines , in ...
If the Log . of any Number between 10 and 100 , with two places of Decimals , be
required , take the nearest number of tenths , which will be sufficiently exact for
common practice . But , if great accuracy be desired , work by Natura ] Sines , in ...
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SYSTEM OF GEOMETRY & TRIGONOME Abel 1765-1825 Flint,George Gillet,Frederick a. P. (Frederick Augu Barnard Keine Leseprobe verfügbar - 2016 |
SYSTEM OF GEOMETRY & TRIGONOME Abel 1765-1825 Flint,George Gillet,Frederick a. P. (Frederick Augu Barnard Keine Leseprobe verfügbar - 2016 |
Häufige Begriffe und Wortgruppen
according accurately added Angle Arch Base Bearing calculated called Chains 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 Land Left Leg BC length less Line Links Logarithms manner measuring method Minutes multiply Natural Sines Needle North North Areas Note number of Degrees observe opposite parallel particular Perpendicular PLATE Plot Point practice preceding PROBLEM Product Proportion protract Quotient Radius Remainder represent Right Angled Rods 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
Beliebte Passagen
Seite 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.
Seite 27 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 23 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.