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 11
... Sine of an Arch is a Line drawn from one end of the Arch , perpendicular to the Radius or Diam- eter drawn through the other end : Or , it is half the Chord of double the Arch ; thus HL is the Sine of the Arch HB . Fig . 7 . 21. The ...
... Sine of an Arch is a Line drawn from one end of the Arch , perpendicular to the Radius or Diam- eter drawn through the other end : Or , it is half the Chord of double the Arch ; thus HL is the Sine of the Arch HB . Fig . 7 . 21. The ...
Página 12
... Sine , Tangent or Secant of the Comple- ment of any Arch is called the Co - Sine , Co Tangent or Co - Secant of the Arch ; thus FH is the Sine , DI the Tangent and CI the Secant of the Arch DH ; or they are the Co - Sine , Co - Tangent ...
... Sine , Tangent or Secant of the Comple- ment of any Arch is called the Co - Sine , Co Tangent or Co - Secant of the Arch ; thus FH is the Sine , DI the Tangent and CI the Secant of the Arch DH ; or they are the Co - Sine , Co - Tangent ...
Página 20
... Sine of the Angle at A , and AB the Sine of the Angle at C ; that is , the Legs will be Sines of their opposite An- gles . PROPOSITION II . If one Leg , AB , Fig . 45 . be described , then BC , the other Leg , be made Radius , and with ...
... Sine of the Angle at A , and AB the Sine of the Angle at C ; that is , the Legs will be Sines of their opposite An- gles . PROPOSITION II . If one Leg , AB , Fig . 45 . be described , then BC , the other Leg , be made Radius , and with ...
Página 21
... Sine , Tangent or Secant ; Is to the length of the Side given ; So is the name of the Side required , which also will be either Radius , Sine , Tangent or Secant ; To the length of the Side required . RULE II . To find an Angle one of ...
... Sine , Tangent or Secant ; Is to the length of the Side given ; So is the name of the Side required , which also will be either Radius , Sine , Tangent or Secant ; To the length of the Side required . RULE II . To find an Angle one of ...
Página 22
... Sine ACB , 54 ° 30 ′ 9.91069 :: Sine CAB , 35 ° 30 ′ 9.76395 11.16189 10.00000 11.30863 10.00000 : Leg . AB , 20.35 1.30863 · : Leg BC , 14. 52 - 1.16189 Note . When the first Term is Radius , it may be Subtracted by cancelling the ...
... Sine ACB , 54 ° 30 ′ 9.91069 :: Sine CAB , 35 ° 30 ′ 9.76395 11.16189 10.00000 11.30863 10.00000 : Leg . AB , 20.35 1.30863 · : Leg BC , 14. 52 - 1.16189 Note . When the first Term is Radius , it may be Subtracted by cancelling 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 |
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.