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 Fine 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 ...O. D. Cooke, 1813 - 168 páginas |
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Página 23
... EXAMPLE . Nat . Sine of 35 ° 30 ' 0.58070 Nat . Sine of 54 ° 30 ′ 0.81412 Hyp . 25 Hyp . 25 290350 116140 14.51750 Leg BC 14.52 407060 162824 20.35300 Leg AB 20.35 first Term , the Remainder will be the Log . * See the Introduction to ...
... EXAMPLE . Nat . Sine of 35 ° 30 ' 0.58070 Nat . Sine of 54 ° 30 ′ 0.81412 Hyp . 25 Hyp . 25 290350 116140 14.51750 Leg BC 14.52 407060 162824 20.35300 Leg AB 20.35 first Term , the Remainder will be the Log . * See the Introduction to ...
Página 23
... EXAMPLE . Nat . Sine of 54 ° 30 ′ 0.81412 Hyp . 25 407060 116140 14.51750 Leg BC 14.52 162824 20.35300 Leg AB 20.35 Note . The third Decimal figure in the first Product * See the Introduction to the Table of Natural Sines , TRIGONOMETRY ...
... EXAMPLE . Nat . Sine of 54 ° 30 ′ 0.81412 Hyp . 25 407060 116140 14.51750 Leg BC 14.52 162824 20.35300 Leg AB 20.35 Note . The third Decimal figure in the first Product * See the Introduction to the Table of Natural Sines , TRIGONOMETRY ...
Página 25
... EXAMPLE . Given Leg 325. Nat . Sine of 56 ° 45 ' , the Angle opposite the given Leg 0.83629 Nat . Sine of 33 ° 15 ′ , the Angle opposite the other Leg 0.54829 . As 0.83629 : 325 :: 1 : 388.6 As 0.83629 : 325 :: 0.54829 .: 213.07 CASE ...
... EXAMPLE . Given Leg 325. Nat . Sine of 56 ° 45 ' , the Angle opposite the given Leg 0.83629 Nat . Sine of 33 ° 15 ′ , the Angle opposite the other Leg 0.54829 . As 0.83629 : 325 :: 1 : 388.6 As 0.83629 : 325 :: 0.54829 .: 213.07 CASE ...
Página 26
... To the Nat . Sine of its opposite Angle . Or , which is the same thing , Divide the given Leg by the Hypothenuse , and the Quotient will be the Nat . EXAMPLE . The Leg AB 40 divided by the Hypothenuse Sine . 26 TRIGONOMETRY .
... To the Nat . Sine of its opposite Angle . Or , which is the same thing , Divide the given Leg by the Hypothenuse , and the Quotient will be the Nat . EXAMPLE . The Leg AB 40 divided by the Hypothenuse Sine . 26 TRIGONOMETRY .
Página 27
... EXAMPLE . The Leg AB 40 divided by the Hypothenuse 50 quotes 0.80000 which looked in the Table of Nat . Sines , the nearest corresponding number of Degrees . and Minutes will be found to be 53 ° 8 ' , the Angle ACB . Note . The reason ...
... EXAMPLE . The Leg AB 40 divided by the Hypothenuse 50 quotes 0.80000 which looked in the Table of Nat . Sines , the nearest corresponding number of Degrees . and Minutes will be found to be 53 ° 8 ' , the Angle ACB . Note . The reason ...
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A System of Geometry and Trigonometry: Together with a Treatise on Surveying ... Able Flint Sin vista previa disponible - 2017 |
A System of Geometry and Trigonometry: Together with a Treatise on Surveying ... Able Flint Sin vista previa disponible - 2017 |
Pasajes populares
Página 26 - 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 23 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Página 8 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Página 25 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 25 - The solution of this CASE depends on the following PROPOSITION. In every Plane Triangle, As the Sum of any two Sides ; Is to their Difference ; So is the Tangent of half the Sum of the two opposite Angles ; To the Tangent of half the Difference between them. Add this half difference to half the Sum of the Angles and you will have the greater Angle ; and...
Página 8 - The radius of a circle is a line drawn from the centre to the circumference, as A, B.
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 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.