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 21
... , Tangent or Secant . 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.
... , Tangent or Secant . 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.
Página 22
... Remainder will be the Log . of the fourth Term , which seek in the Tables and find its cor- responding Number or Degrees and Minutes . See the Introduction to the Table of Logarithms ; which should be attentively studied by the Learner ...
... Remainder will be the Log . of the fourth Term , which seek in the Tables and find its cor- responding Number or Degrees and Minutes . See the Introduction to the Table of Logarithms ; which should be attentively studied by the Learner ...
Página 23
... 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 the Table of Natural Sines . TRIGONOMETRY . 23.
... 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 the Table of Natural Sines . TRIGONOMETRY . 23.
Página 23
... Remainder will be the Log . of the fourth Term , which seek in the Tables and find its cor- responding Number or Degrees and Minutes . See the Introduction to the Table of Logarithms ; which should be attentively studied by the Learner ...
... Remainder will be the Log . of the fourth Term , which seek in the Tables and find its cor- responding Number or Degrees and Minutes . See the Introduction to the Table of Logarithms ; which should be attentively studied by the Learner ...
Página 27
... 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 2500 , leaves 900 , the Square of the Leg BC , 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 2500 , leaves 900 , the Square of the Leg BC , the ...
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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 |
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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.