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 |
Dentro del libro
Resultados 6-10 de 34
Página 39
... distance between them , or the Sum of the two parallel Sides by half the perpen- dicular distance ; the Product will be the Area . PROBLEM XI . To find the Area of a Trapezium , or irregular Four Sided Figure . RULE . Draw a Diagonal ...
... distance between them , or the Sum of the two parallel Sides by half the perpen- dicular distance ; the Product will be the Area . PROBLEM XI . To find the Area of a Trapezium , or irregular Four Sided Figure . RULE . Draw a Diagonal ...
Página 43
... Diagonal at a , and neither go the least above or below it ; that distance in the Dividers be- ing measured on the Scale will give the length of the Per- CASE III . To survey a Field which has more pendicular . SURVEYING . 43.
... Diagonal at a , and neither go the least above or below it ; that distance in the Dividers be- ing measured on the Scale will give the length of the Per- CASE III . To survey a Field which has more pendicular . SURVEYING . 43.
Página 46
... distance falls exactly on the Point from which you began , the Course also being right , the 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 ...
... distance falls exactly on the Point from which you began , the Course also being right , the 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 ...
Página 49
... Distance , compare the first and second Courses to- gether , and they will be found to be both Northerly and both Easterly ; consequently the Angle between them is found by RULE 4. as follows : 90 ° added to 16 ° 30 ′ the less Course ...
... Distance , compare the first and second Courses to- gether , and they will be found to be both Northerly and both Easterly ; consequently the Angle between them is found by RULE 4. as follows : 90 ° added to 16 ° 30 ′ the less Course ...
Página 53
... Distance from the Station . FIELD BOOK . See PLATE III . Fig , 61 , From Station to A. N. 20 ° W. Ch . L. 8.70 B. N. 60 E. 10 . C. N. 87 E. 11.40 D. S. 15 E. 10.50 E. S. 60 W. 12 . F. N. 65 W. 8,78 To protract this Field . Draw a ...
... Distance from the Station . FIELD BOOK . See PLATE III . Fig , 61 , From Station to A. N. 20 ° W. Ch . L. 8.70 B. N. 60 E. 10 . C. N. 87 E. 11.40 D. S. 15 E. 10.50 E. S. 60 W. 12 . F. N. 65 W. 8,78 To protract this Field . Draw 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.