A Treatise of Practical Surveying, ...1808 - 440 páginas |
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Página 20
... number of degrees of the whole circle . 31. The sine , tangent , and secant of an arc , is also the sine , tangent , and secant of an angle whose measure the arc is : thus because the arc HB is the measure of the angle HCB , and since ...
... number of degrees of the whole circle . 31. The sine , tangent , and secant of an arc , is also the sine , tangent , and secant of an angle whose measure the arc is : thus because the arc HB is the measure of the angle HCB , and since ...
Página 54
... number of degrees , at the point A , of the line AB , suppose of 45 degrees . fig . 4 . From a scale of chords take 60 degrees , for 60 is equal to the radius ( by cor . theo . 15. ) and with that distance from A , as a centre ...
... number of degrees , at the point A , of the line AB , suppose of 45 degrees . fig . 4 . From a scale of chords take 60 degrees , for 60 is equal to the radius ( by cor . theo . 15. ) and with that distance from A , as a centre ...
Página 55
... quantity of the angle BAC 48 degrees , as required ; this is plain from def . 19 . PRO B. XVIII . . To make a triangle BCE equal to a given quadrila- teral figure ABCD . fig . 6 . Draw the diagonal AC , and parallel to it ( by prob . 8 ...
... quantity of the angle BAC 48 degrees , as required ; this is plain from def . 19 . PRO B. XVIII . . To make a triangle BCE equal to a given quadrila- teral figure ABCD . fig . 6 . Draw the diagonal AC , and parallel to it ( by prob . 8 ...
Página 70
... degrees , the column of the mi- nutes on the left hand of each page , answers to the degrees in the top column ; and ... number of degrees at the head or foot of the page , according as they are less or greater than 45 , and in the ...
... degrees , the column of the mi- nutes on the left hand of each page , answers to the degrees in the top column ; and ... number of degrees at the head or foot of the page , according as they are less or greater than 45 , and in the ...
Página 76
... number of degrees ) in another circle ; as the radius of the one is to the radius of the other ; therefore the sine , tangent , or secant of any arc is proportional to the sine , tangent , or secant of a like arc , as the radius of the ...
... number of degrees ) in another circle ; as the radius of the one is to the radius of the other ; therefore the sine , tangent , or secant of any arc is proportional to the sine , tangent , or secant of a like arc , as the radius of the ...
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A Treatise of Practical Surveying: Which Is Demonstrated From Its First ... Robert Gibson Sin vista previa disponible - 2018 |
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 199 - ... that triangles on the same base and between the same parallels are equal...
Página 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.
Página 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.
Página 95 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 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.
Página 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.
Página 36 - XIII. •All parallelograms on the same or equal bases and between the same parallels...
Página 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.
Página 35 - Triangles upon equal bases, and between the same parallels, are equal to one another.