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 14
... describe an Arch above and below the Line , as at C and D ; with the same distance , and one foot in B de- scribe Arches to cross the former ; lay a Rule from C to D , and where the Rule crosses the Line , as at E , will PROBLEM III ...
... describe an Arch above and below the Line , as at C and D ; with the same distance , and one foot in B de- scribe Arches to cross the former ; lay a Rule from C to D , and where the Rule crosses the Line , as at E , will PROBLEM III ...
Página 15
... describe an Arch to cut the given Line in two places , as at F and G ; upon F and G describe two Arches to intersect each other be- low the Line as at D ; lay a Rule from C to D and draw a Line from C to the given Line . Perpendiculars ...
... describe an Arch to cut the given Line in two places , as at F and G ; upon F and G describe two Arches to intersect each other be- low the Line as at D ; lay a Rule from C to D and draw a Line from C to the given Line . Perpendiculars ...
Página 16
... describe an Arch greater than a Quadrant ; set off 90 Degrees from B to C , and from C to E set off the excess above 90 , which is 20 ; draw a Line from G through E and the Angle will contain 110 Degrees . Note . In a similar manner ...
... describe an Arch greater than a Quadrant ; set off 90 Degrees from B to C , and from C to E set off the excess above 90 , which is 20 ; draw a Line from G through E and the Angle will contain 110 Degrees . Note . In a similar manner ...
Página 17
... describe an Arch greater than a Quadrant ; set off 90 Degrees from B to C , and from C to E set off the excess above 90 , which is 20 ; draw a Line from G through E and the Angle will contain 110 Degrees . Note . In a similar manner ...
... describe an Arch greater than a Quadrant ; set off 90 Degrees from B to C , and from C to E set off the excess above 90 , which is 20 ; draw a Line from G through E and the Angle will contain 110 Degrees . Note . In a similar manner ...
Página 18
... describe Arches inter- secting each other at D , and draw the Lines AD and DC . PROBLEM XVII . To make a Parallelogram . Fig . 38 . Draw the Line AB equal to the longest Side of the Parallelogram ; on B erect a Perpendicular the length ...
... describe Arches inter- secting each other at D , and draw the Lines AD and DC . PROBLEM XVII . To make a Parallelogram . Fig . 38 . Draw the Line AB equal to the longest Side of the Parallelogram ; on B erect a Perpendicular the length ...
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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.