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 21
... . Having found the Logarithms of the three given Terms , add together the Log . of the second and third first Term , the Remainder will be the Log . Terms , and from their Sum subtract the Log , of the TRIGONOMETRY . 21.
... . Having found the Logarithms of the three given Terms , add together the Log . of the second and third first Term , the Remainder will be the Log . Terms , and from their Sum subtract the Log , of the TRIGONOMETRY . 21.
Seite 22
... Subtracted by cancelling the first figure of the Sum of the other two Terms . Making the Leg AB Radius , the Proportions will be : To find the Leg AB . As Secant CAB , 35 ° 30 ′ : Hyp . AC , 25 :: Radius To find the Leg BC . As Secant ...
... Subtracted by cancelling the first figure of the Sum of the other two Terms . Making the Leg AB Radius , the Proportions will be : To find the Leg AB . As Secant CAB , 35 ° 30 ′ : Hyp . AC , 25 :: Radius To find the Leg BC . As Secant ...
Seite 23
... subtracted according to the Rule , the result will be found to be the same as the two first Proportions . By Natural Sines . This CASE may be solved by Natural Sines , * ac- cording to the following Proportions : As Unity or 1 ; Is to ...
... subtracted according to the Rule , the result will be found to be the same as the two first Proportions . By Natural Sines . This CASE may be solved by Natural Sines , * ac- cording to the following Proportions : As Unity or 1 ; Is to ...
Seite 24
... subtracting Radius , and seek the numbers corres- ponding to the other figures . Making the Leg BC Radius , the Proportions will be ; To find the Hypothenuse . As Tang . ACB , 56 ° 45 ′ : Leg AB , 325 :: Sec . ACB , 56 ° 45 ′ To find ...
... subtracting Radius , and seek the numbers corres- ponding to the other figures . Making the Leg BC Radius , the Proportions will be ; To find the Hypothenuse . As Tang . ACB , 56 ° 45 ′ : Leg AB , 325 :: Sec . ACB , 56 ° 45 ′ To find ...
Seite 27
... subtracted from the Square of the Hypothenuse , the Remainder will be the Square of the required Leg . As in the preceding EXAMPLE ; The Square of the Leg AB 40 is 1600 ; this subtracted from the Square of the Hypothenuse 50 which is ...
... subtracted from the Square of the Hypothenuse , the Remainder will be the Square of the required Leg . As in the preceding EXAMPLE ; The Square of the Leg AB 40 is 1600 ; this subtracted from the Square of the Hypothenuse 50 which is ...
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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 |
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.