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 Seiten |
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Seite 16
... Rods or Chains , the Angle at C 35 ° 30 ′ and consequently the Angle at A 54 ° 30 ' . See Note after the 39th Geometrical Defi nition . Note . When Degrees and Minutes are expressed , they are distinguished from each other by a small ...
... Rods or Chains , the Angle at C 35 ° 30 ′ and consequently the Angle at A 54 ° 30 ' . See Note after the 39th Geometrical Defi nition . Note . When Degrees and Minutes are expressed , they are distinguished from each other by a small ...
Seite 22
... Rods or Chains ; the Angle at A 35 ° 30 ′ , and con- sequently the Angle at C 54 ° 30 ' ; to find the Legs . Making the Hypothenuse Radius , the Proportions will be ; To find the Leg AB . As Radius : Hyp . AC , 25 · 10.00000 1.39794 ...
... Rods or Chains ; the Angle at A 35 ° 30 ′ , and con- sequently the Angle at C 54 ° 30 ' ; to find the Legs . Making the Hypothenuse Radius , the Proportions will be ; To find the Leg AB . As Radius : Hyp . AC , 25 · 10.00000 1.39794 ...
Seite 35
... Rods , Poles or Perches ; or 4 Square Roods , each containing 40 Square Rods . The instrument most in use , for measuring the Sides of Fields , is GUNTER'S Chain , which is in length 4 Rods or 66 Feet ; and is divided into 100 equal ...
... Rods , Poles or Perches ; or 4 Square Roods , each containing 40 Square Rods . The instrument most in use , for measuring the Sides of Fields , is GUNTER'S Chain , which is in length 4 Rods or 66 Feet ; and is divided into 100 equal ...
Seite 36
... Rods and 84 Hundredths ; expressed thus 34.84 Rods . If the Links exceed 25 add 1 to the number of Rods and multiply the excess by 4 : Thus , 15 Two Rod Chains and 38 Links make 31.52 Rods . PROBLEM III . To reduce Four Rod Chains to ...
... Rods and 84 Hundredths ; expressed thus 34.84 Rods . If the Links exceed 25 add 1 to the number of Rods and multiply the excess by 4 : Thus , 15 Two Rod Chains and 38 Links make 31.52 Rods . PROBLEM III . To reduce Four Rod Chains to ...
Seite 37
... Rods . EXAMPLE . How many Acres , Roods and Rods are there in 156 Square Chains and 3274 Square Links ? 15 ) 63274 Square Links 4 2 ) 53096 40 21 ) 23840 Answer . 15 Acres 2 Roods and 21 Rods . PROBLEMS for finding the Area of Right ...
... Rods . EXAMPLE . How many Acres , Roods and Rods are there in 156 Square Chains and 3274 Square Links ? 15 ) 63274 Square Links 4 2 ) 53096 40 21 ) 23840 Answer . 15 Acres 2 Roods and 21 Rods . PROBLEMS for finding the Area of Right ...
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System of Geometry and Trigonometry: Together with a Treatise on Surveying ... Abel Flint Keine Leseprobe verfügbar - 2017 |
System of Geometry and Trigonometry: Together With a Treatise on Surveying ... Abel Flint Keine Leseprobe verfügbar - 2017 |
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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.