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
... C , then AB will be the Tangent and AC the Secant of the Angle at C ; that is , if one Leg be made Radius the other Leg will be a Tangent of its opposite Angle , and the Hypothenuse a Secant of the same An- gle . Thus , as different ...
... C , then AB will be the Tangent and AC the Secant of the Angle at C ; that is , if one Leg be made Radius the other Leg will be a Tangent of its opposite Angle , and the Hypothenuse a Secant of the same An- gle . Thus , as different ...
Página 22
... C 54 ° 30 ' : to find the Legs . Making the Hypothenuse 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 CAB , 35 ° 30 ′ : Hyp . AC , 25 ...
... C 54 ° 30 ' : to find the Legs . Making the Hypothenuse 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 CAB , 35 ° 30 ′ : Hyp . AC , 25 ...
Página 23
... C 54 ° 30 ' : to find the Legs . Making the Hypothenuse 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 CAB , 35 ° 30 ′ : Hyp . AC , 25 ...
... C 54 ° 30 ' : to find the Legs . Making the Hypothenuse 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 CAB , 35 ° 30 ′ : Hyp . AC , 25 ...
Página 148
... SECANTS . To find the Logarithmic Sine , & c . for any number of Degrees and Minutes , within the Compass of the Table . If the Degrees be less than 45 , look for them at the top of the Columns , and under Sine , Tangent or Secant ...
... SECANTS . To find the Logarithmic Sine , & c . for any number of Degrees and Minutes , within the Compass of the Table . If the Degrees be less than 45 , look for them at the top of the Columns , and under Sine , Tangent or Secant ...
Página 149
... Secants , the Co - Sines and Secants , and the Tangents and Co - Tangents ... Secant 10.32367 their Sum is 20.00000 ; so also is the Sum of the Co - Sine ... c . for any Course and Distance by Logarithms . This is done by the first ...
... Secants , the Co - Sines and Secants , and the Tangents and Co - Tangents ... Secant 10.32367 their Sum is 20.00000 ; so also is the Sum of the Co - Sine ... c . for any Course and Distance by Logarithms . This is done by the first ...
Otras ediciones - Ver todas
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.