A Treatise of Practical Surveying, ...1808 - 440 páginas |
Dentro del libro
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Página 57
... feet , yards , perches , or miles ) as the respective number at the end of each expresses ; but in the surveying way , they are counted to be so many perches to an inch , and sometimes so ma- ny feet to an inch . On the contrary side ...
... feet , yards , perches , or miles ) as the respective number at the end of each expresses ; but in the surveying way , they are counted to be so many perches to an inch , and sometimes so ma- ny feet to an inch . On the contrary side ...
Página 78
... length to be given in feet , yards , perches , or miles , & c . and this mark ° , either in an angle or on a side , denotes the angle or side required . Plate V. From these proportions it may be observed ; From 78 PLANE TRIGONOMETRY .
... length to be given in feet , yards , perches , or miles , & c . and this mark ° , either in an angle or on a side , denotes the angle or side required . Plate V. From these proportions it may be observed ; From 78 PLANE TRIGONOMETRY .
Página 79
... feet , yards , miles , & c . ) required the legs AB and BC . Geometrically . Make an angle of 46 ° . 30 ' . in blank lines ( by prob . 16. sect . 1. ) as CAB ; lay 250 , which is the given hypothenuse , from a scale of equal parts ...
... feet , yards , miles , & c . ) required the legs AB and BC . Geometrically . Make an angle of 46 ° . 30 ' . in blank lines ( by prob . 16. sect . 1. ) as CAB ; lay 250 , which is the given hypothenuse , from a scale of equal parts ...
Página 108
... feet . Height of the instrument , or of the ob server , 5 feet . Required , the height of the steeple . The figure is constructed and wrought , in all respects , as case 2. of right angled trigonometry ; only there must be a line drawn ...
... feet . Height of the instrument , or of the ob server , 5 feet . Required , the height of the steeple . The figure is constructed and wrought , in all respects , as case 2. of right angled trigonometry ; only there must be a line drawn ...
Página 109
... . C AB R .: BC . 37 ° 85 90 ° 112. 8 . To BC 112. 8 Add DB 5. the height of the observer . Their sum is 117. 8 or 118 feet , the height of the steeple required . PROB . PROB . II . Plate V. fig . 20 . OF HEIGHTS . 109.
... . C AB R .: BC . 37 ° 85 90 ° 112. 8 . To BC 112. 8 Add DB 5. the height of the observer . Their sum is 117. 8 or 118 feet , the height of the steeple required . PROB . PROB . II . Plate V. fig . 20 . OF HEIGHTS . 109.
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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.