A Treatise of Practical Surveying, ...1808 - 440 pages |
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Robert Gibson. that their science in this matter , was en- graven on columns , and by that means de- livered to posterity . It is a matter of some wonder , that though surveying appears to have been the first , or at least one of the ...
Robert Gibson. that their science in this matter , was en- graven on columns , and by that means de- livered to posterity . It is a matter of some wonder , that though surveying appears to have been the first , or at least one of the ...
Page 60
... column marked at the top N , is that in which you must find your number ; in the same line with which in the adjacent column , is the logarithm of that number . EXAMPLE . Required , the logarithm of 365 , Answer , 2.56229 . And though ...
... column marked at the top N , is that in which you must find your number ; in the same line with which in the adjacent column , is the logarithm of that number . EXAMPLE . Required , the logarithm of 365 , Answer , 2.56229 . And though ...
Page 70
... columns contain degrees , the column of the mi- nutes on the left hand of each page , answers to the degrees in the top column ; and the sines , tangents , and secants belonging to those degrees and minutes , are in the columns marked ...
... columns contain degrees , the column of the mi- nutes on the left hand of each page , answers to the degrees in the top column ; and the sines , tangents , and secants belonging to those degrees and minutes , are in the columns marked ...
Page 71
... column for 30 minutes ; then in the column marked tangent at its bottom , and on the same line with the 30 minutes , in the side column , we find 10.14673 , which is the log - tan- gent required . The reverse of this , viz . The ...
... column for 30 minutes ; then in the column marked tangent at its bottom , and on the same line with the 30 minutes , in the side column , we find 10.14673 , which is the log - tan- gent required . The reverse of this , viz . The ...
Page 141
... column under the de- nomination of angles , in a line with station No. 1 ; and in the same line under the title of distances , in the third column , let the measure of the line AB in chains and links be inserted . Being now arrived at B ...
... column under the de- nomination of angles , in a line with station No. 1 ; and in the same line under the title of distances , in the third column , let the measure of the line AB in chains and links be inserted . Being now arrived at B ...
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A Treatise of Practical Surveying: Which Is Demonstrated From Its First ... Robert Gibson No preview available - 2018 |
Common terms and phrases
40 perches ABCD acres altitude Answer base bearing blank line centre chains and links chord circle circumferentor Co-fecant Secant Co-fine Co-tang column contained cyphers decimal decimal fraction diameter difference Dift Diſt distance line divided draw drawn east edge EXAMPLE feet field-book figures fore four-pole chains half the sum height hypothenuse inches instrument latitude logarithm measure meridian distance method multiplied needle number of degrees object off-sets parallel parallelogram perpendicular piece of ground plane Plate pole Portmarnock PROB protractor quotient radius right angles right line scale of equal second station sect semicircle side sights sine square root stationary distance stationary line sun's survey taken tangent thence theo theodolite thro trapezium triangle ABC trigonometry true amplitude two-pole chains vane variation Vulgar Fraction whence ΙΟ
Popular passages
Page 32 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Page 199 - ... that triangles on the same base and between the same parallels are equal...
Page 94 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Page 23 - Four quantities are said to be in proportion when the product of the extremes is equal to that of the means : thus if A multiplied by D, be equal to B multiplied by C, then A is said to be to B as C is to D.
Page 95 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Page 37 - ABDE+ACGF the sum of the squares —BKLH-\-KCML, the sum of the two parallelograms or square BCMH; therefore the sum of the squares on AB and AC is equal to the square on BC.
Page 24 - Things that are equal to one and the same thing, are equal to each other. 2. Every whole is greater than its part. % 3. Every whole is equal to all its parts taken together. 4 If to equal things, equal things be added, the whole will be equal. 5. If from equal things, equal things be deducted the remainders will be equal.
Page 36 - XIII. •All parallelograms on the same or equal bases and between the same parallels...
Page 182 - VI. To find the content of a triangular piece of ground, Multiply the base by half the perpendicular, or the perpendicular by half the base ; or take half the product of the base into the perpendicular. The reason hereof is plain, from cor.
Page 35 - Triangles upon equal bases, and between the same parallels, are equal to one another.