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 24
... Tang . ACB , 56 ° 45 ′ : Leg AB , 325 :: Sec . ACB , 56 ° 45 ′ To find the Leg BC . As Tang . ACB , 56 ° 45 ′ : Leg AB , 325 :: Radius Making the Hypothenuse Radius , the Proportions will be : : Hyp . 388.6 : Leg BC , 213.1 24 TRIGONOMETRY ...
... Tang . ACB , 56 ° 45 ′ : Leg AB , 325 :: Sec . ACB , 56 ° 45 ′ To find the Leg BC . As Tang . ACB , 56 ° 45 ′ : Leg AB , 325 :: Radius Making the Hypothenuse Radius , the Proportions will be : : Hyp . 388.6 : Leg BC , 213.1 24 TRIGONOMETRY ...
Página 28
... Tang . BAC , 48 ° 30 ' 10.05342 The Angle ACB is consequently 41 ° 30 ′ . Making the Leg BC Radius , the Proportion to find the Angle BCA will be the same as the above , mutatis mutandis . The Angles being found , the Hypothenuse may be ...
... Tang . BAC , 48 ° 30 ' 10.05342 The Angle ACB is consequently 41 ° 30 ′ . Making the Leg BC Radius , the Proportion to find the Angle BCA will be the same as the above , mutatis mutandis . The Angles being found , the Hypothenuse may be ...
Página 153
... 97 98900 98945 98989 99034 99078 97 99476 99520 98 98 99344 99388 99432 99 99782 99826 99870 99913 99957 99 100 2.00217 2 00260 2.00303 2.00346 2.00389 | 100 | 0 Degree . M Sine Co - Sine Tang . 20 A TABLE OF LOGARITHMS . 153.
... 97 98900 98945 98989 99034 99078 97 99476 99520 98 98 99344 99388 99432 99 99782 99826 99870 99913 99957 99 100 2.00217 2 00260 2.00303 2.00346 2.00389 | 100 | 0 Degree . M Sine Co - Sine Tang . 20 A TABLE OF LOGARITHMS . 153.
Página 154
... Tang Tang . C Secant Secant M 89 Degrees . 1 Degree . M Sine Co - Sine | Tang . C.Tang . Secant C Secant M 08.24186 9.9999318.24192 11.75808 10.00007 11.7581460 5 27661 92 27669 72331 08 72339 55 10 30879 91 30888 69112 09 69121 50 15 ...
... Tang Tang . C Secant Secant M 89 Degrees . 1 Degree . M Sine Co - Sine | Tang . C.Tang . Secant C Secant M 08.24186 9.9999318.24192 11.75808 10.00007 11.7581460 5 27661 92 27669 72331 08 72339 55 10 30879 91 30888 69112 09 69121 50 15 ...
Página 155
... Tang Tangent Co - Secal Secant M 86 Degrees . 4 Degrees . M Sine . C - Sine Tang . C.Tang , Secant C.SecanyM 8.84358.998948.8446411.15536 10,00106 | 11 15642 60 5 85252 890 85363 14637 110 14748 55 10 86128 15 86987 885 86243 13757 115 ...
... Tang Tangent Co - Secal Secant M 86 Degrees . 4 Degrees . M Sine . C - Sine Tang . C.Tang , Secant C.SecanyM 8.84358.998948.8446411.15536 10,00106 | 11 15642 60 5 85252 890 85363 14637 110 14748 55 10 86128 15 86987 885 86243 13757 115 ...
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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.