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 20
... according to the PROBLEMS in GEOMETRY , of more accurately by calculation with Logarithms , or with Natural Sines . TRIGONOMETRY is divided into two Parts , Rectan- gular and Oblique - angular . PART I. RECTANGULAR TRIGONOMETRY . This ...
... according to the PROBLEMS in GEOMETRY , of more accurately by calculation with Logarithms , or with Natural Sines . TRIGONOMETRY is divided into two Parts , Rectan- gular and Oblique - angular . PART I. RECTANGULAR TRIGONOMETRY . This ...
Página 23
... according to the Rule , the result will be found to be the same as the twe 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 the length ...
... according to the Rule , the result will be found to be the same as the twe 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 the length ...
Página 23
... 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 the length ...
... 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 the length ...
Página 27
... according to the following PROPOSITION : In every Right Angled Triangle , the Square of the Hypothenuse is equal to the Sum of the Squares of the two Legs . Hence , The Square of the given Leg being subtracted from the Square of the ...
... according to the following PROPOSITION : In every Right Angled Triangle , the Square of the Hypothenuse is equal to the Sum of the Squares of the two Legs . Hence , The Square of the given Leg being subtracted from the Square of the ...
Página 28
... 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 ...
... 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 ...
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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.