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 ... |
Dentro del libro
Página 58
Line HI , and the Product 25168 Square Links will be the Area of the Trapezoid
HI32 . Proceed in the same manner to calculate the Area of all the Trapezoids ,
Triangles , & c . CASE X. To survey a Field by taking Offsets both to the Right and
...
Line HI , and the Product 25168 Square Links will be the Area of the Trapezoid
HI32 . Proceed in the same manner to calculate the Area of all the Trapezoids ,
Triangles , & c . CASE X. To survey a Field by taking Offsets both to the Right and
...
Página 64
... 3 which represents the Northing made by the second course , and the Line BC
, one of the sides of the Field , form a Right Angled Trapezoid . Now , by the Rule
to find the Area of such a Trapezoid , See PROB . X. 65.86 X 31.66 = 2085.1276 ...
... 3 which represents the Northing made by the second course , and the Line BC
, one of the sides of the Field , form a Right Angled Trapezoid . Now , by the Rule
to find the Area of such a Trapezoid , See PROB . X. 65.86 X 31.66 = 2085.1276 ...
Página 65
This being multiplied by 32.21 the length of the Line 4 , 5which is the Southing of
the seventh Course , will give double the Area of the Trapezoid 4GH5 , which is
2119.0959 the third number in the Column of South Areas . The Line H5 , 21.02 ...
This being multiplied by 32.21 the length of the Line 4 , 5which is the Southing of
the seventh Course , will give double the Area of the Trapezoid 4GH5 , which is
2119.0959 the third number in the Column of South Areas . The Line H5 , 21.02 ...
Página 67
The Area against the 10th Course is the Trapezoid 2KL3 , also without the Field .
The Area against the 11th Course is the Trapezoid 4ML3 . This is a South Area ,
and contains a part of the Field and also part of the preceding North Area .
The Area against the 10th Course is the Trapezoid 2KL3 , also without the Field .
The Area against the 11th Course is the Trapezoid 4ML3 . This is a South Area ,
and contains a part of the Field and also part of the preceding North Area .
Página 68
The Area against the 1st Course is the Trapezoid 6AB7 , part within and part
without the Field . This is a North Area and to be ultimately subtracted from the
South Areas ; but this includes a part of the preceding South Area , viz . the space
nAso ...
The Area against the 1st Course is the Trapezoid 6AB7 , part within and part
without the Field . This is a North Area and to be ultimately subtracted from the
South Areas ; but this includes a part of the preceding South Area , viz . the space
nAso ...
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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 |
Términos y frases comunes
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
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 |