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 Find 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 : Compiled from Various AuthorsOliver D. Cooke, 1804 - 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 des- cribe 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 des- cribe 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 below 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 below 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 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 ...
Página 19
... describe Arches intersecting each other at D , and draw the Lines AD and DC . PROBLEM XVIII . To describe a Circle which shall pass through any three given Points , not lying in a Right Line , as A , B , D. Fig . 43 . Draw Lines from A ...
... describe Arches intersecting each other at D , and draw the Lines AD and DC . PROBLEM XVIII . To describe a Circle which shall pass through any three given Points , not lying in a Right Line , as A , B , D. Fig . 43 . Draw Lines from A ...
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System of Geometry and Trigonometry: Together with a Treatise on Surveying ... Abel Flint Sin vista previa disponible - 2017 |
System of Geometry and Trigonometry: Together With a Treatise on Surveying ... Abel Flint Sin vista previa disponible - 2017 |
Pasajes populares
Página 28 - 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 27 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 6 - The Circumference of every circle is supposed to be divided into 360 equal parts, called Degrees ; and each degree into 60 Minutes, each minute into 60 Seconds, and so on.
Página 24 - In this case the" hypothenuse may be found by the square root without finding the angles ; 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 is 7921 ; these added make 14114,69 the square root of which is nearest 119.
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 33 - To find the area of a trapezoid. RULE. Multiply half the sum of the two parallel sides by the perpendicular distance between them : the product will be the area.
Página 6 - Therefore all radii of the same circle are equal. 13. The diameter of a circle is a right line drawn from one side of the circumference to the other, passing through the centre ; and it divides the circle into two equal parts, called semicircles ; as AB or DE.
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.
Página 23 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.