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, 1804 - 168 páginas |
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Resultados 6-10 de 11
Página 57
... represent the Boundaries of the Field . To find the Area . Find the Area within the Stationary Lines as before taught ; then of the several small Trapezoids , Parallel- ograms and Triangles made by the stationary Lines , Offsets and ...
... represent the Boundaries of the Field . To find the Area . Find the Area within the Stationary Lines as before taught ; then of the several small Trapezoids , Parallel- ograms and Triangles made by the stationary Lines , Offsets and ...
Página 61
... represent the two Legs of a Right Angled Triangle , and the Distance the Hy-- pothenuse ; and it is a Mathematical truth , that the Square of the Hypothenuse of any Right Angled Triangle is equal to the Sum of the Squares of the two ...
... represent the two Legs of a Right Angled Triangle , and the Distance the Hy-- pothenuse ; and it is a Mathematical truth , that the Square of the Hypothenuse of any Right Angled Triangle is equal to the Sum of the Squares of the two ...
Página 62
... represent the Northings , & c . as balanced . 4. These Columns being balanced , proceed to form a Departure Column , or a Column of Meridian Distances ; which shows how far the end of each Side of the Field is Eastor West of the Station ...
... represent the Northings , & c . as balanced . 4. These Columns being balanced , proceed to form a Departure Column , or a Column of Meridian Distances ; which shows how far the end of each Side of the Field is Eastor West of the Station ...
Página 63
... represents the Northing , and the Line 2B the Easting made by the first Course : These multiplied together , that is , 77.15 x 20.74 angle A 2 B , as is evident from the 1600.0910 , which is double the Area of the Tri- SURVEYING . 63.
... represents the Northing , and the Line 2B the Easting made by the first Course : These multiplied together , that is , 77.15 x 20.74 angle A 2 B , as is evident from the 1600.0910 , which is double the Area of the Tri- SURVEYING . 63.
Página 64
... represents the Sum of the two Lines 3 C and 2 B. These two Lines with the Line 2 , 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 Trape- zoid . Now , by ...
... represents the Sum of the two Lines 3 C and 2 B. These two Lines with the Line 2 , 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 Trape- zoid . Now , by ...
Otras ediciones - Ver todas
System of Geometry and Trigonometry: Together with a Treatise on Surveying ... Abel Flint Sin vista previa disponible - 2017 |
System of Geometry and Trigonometry: Together With a Treatise on Surveying ... Abel Flint Sin vista previa disponible - 2017 |
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.