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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Página 11
... double the Arch ; thus HL is the Sine of the Arch HB . Fig . 7 . 21. The Sines on the same Diameter increase in length till they come to the Centre , and so become the Radius . Hence it is plain that the Radius CD Fig . 7 . is the ...
... double the Arch ; thus HL is the Sine of the Arch HB . Fig . 7 . 21. The Sines on the same Diameter increase in length till they come to the Centre , and so become the Radius . Hence it is plain that the Radius CD Fig . 7 . is the ...
Página 39
... double the Area . EXAMPLE . Suppose a Triangle one of whose Sides is 105 Rods and another 85 and the Angle contained between them 28 ° 5 ' . Demanded the Area . One Side , 105 The other Side , 85 2.02119 Sine Angle , 28 ° 5 ' Subtract ...
... double the Area . EXAMPLE . Suppose a Triangle one of whose Sides is 105 Rods and another 85 and the Angle contained between them 28 ° 5 ' . Demanded the Area . One Side , 105 The other Side , 85 2.02119 Sine Angle , 28 ° 5 ' Subtract ...
Página 54
... Double Area Area - 54 . 516.8 Square Chains . 25 ) 84 4 3 ) 36 40 14 ) 40 Acres Roods Rods Area 25 3 - 14.4 CASE VI . To survey a Field from some one of the Angles , from which the others may be seen . From the stationary Angle take the ...
... Double Area Area - 54 . 516.8 Square Chains . 25 ) 84 4 3 ) 36 40 14 ) 40 Acres Roods Rods Area 25 3 - 14.4 CASE VI . To survey a Field from some one of the Angles , from which the others may be seen . From the stationary Angle take the ...
Página 60
... Double Area of the Field Acres 744 ) 92501 Area 4 Roods 3 ) 70004 40 Acres Roods Rods Area 7443 — 28 Rods 28 ) 00160 2. Calculate by RIGHT NGLED TRIGONOMETRY , and Departure , * or by the Table of Natural CASE I. or find by the Table of ...
... Double Area of the Field Acres 744 ) 92501 Area 4 Roods 3 ) 70004 40 Acres Roods Rods Area 7443 — 28 Rods 28 ) 00160 2. Calculate by RIGHT NGLED TRIGONOMETRY , and Departure , * or by the Table of Natural CASE I. or find by the Table of ...
Página 63
... A 2 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.
... A 2 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.
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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.