A Treatise of Practical Surveying, ...1808 - 440 σελίδες |
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Σελίδα
... square root , geometrical de- finitions , some necessary theorems and prob- lems ; with the nature and use of the tables of logarithm numbers , sines , sines , tangents , and secants . The second section contains plane trigo- nometry ...
... square root , geometrical de- finitions , some necessary theorems and prob- lems ; with the nature and use of the tables of logarithm numbers , sines , sines , tangents , and secants . The second section contains plane trigo- nometry ...
Σελίδα 1
... Square Root , Geon metrical Definitions , Theorems and Problems ; with the Nature and Use of the Tables of Logarithm Numbers , Sines , Tangents , and Secants . DEFINITION . URVEYING is that art which enables us SUR to give a plan , or ...
... Square Root , Geon metrical Definitions , Theorems and Problems ; with the Nature and Use of the Tables of Logarithm Numbers , Sines , Tangents , and Secants . DEFINITION . URVEYING is that art which enables us SUR to give a plan , or ...
Σελίδα 11
... SQUARE ROOT . A SQUARE number is the product of a num- ber multiplied by itself ; and the number so multiplied , is called the root of that square ; thus 9 is the square of 3 , and 3 is the root of 9 , for 3 multiplied by 3 is 9 . If a ...
... SQUARE ROOT . A SQUARE number is the product of a num- ber multiplied by itself ; and the number so multiplied , is called the root of that square ; thus 9 is the square of 3 , and 3 is the root of 9 , for 3 multiplied by 3 is 9 . If a ...
Σελίδα 12
Robert Gibson. EXAMPLE S. 1. What is the square root of this square num- ber , 298116 ? 29,81,16 ( 546 25 104 ) 481 416 1086 ) .6516 6516 Because the number of figures in the given square number is even , we find the nearest square ...
Robert Gibson. EXAMPLE S. 1. What is the square root of this square num- ber , 298116 ? 29,81,16 ( 546 25 104 ) 481 416 1086 ) .6516 6516 Because the number of figures in the given square number is even , we find the nearest square ...
Σελίδα 13
... square number given . 2. What is the square root of 1710864 ? Root . 1,71,08,64 ( 1308 Answer 1 23 ) .71 69 2608 ) .20864 20864 What is the square root of 3857.3 ? Here being an odd decimal figure , we annex any odd number of cyphers to ...
... square number given . 2. What is the square root of 1710864 ? Root . 1,71,08,64 ( 1308 Answer 1 23 ) .71 69 2608 ) .20864 20864 What is the square root of 3857.3 ? Here being an odd decimal figure , we annex any odd number of cyphers to ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 199 - ... that triangles on the same base and between the same parallels are equal...
Σελίδα 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.
Σελίδα 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.
Σελίδα 95 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Σελίδα 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.
Σελίδα 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.
Σελίδα 36 - XIII. •All parallelograms on the same or equal bases and between the same parallels...
Σελίδα 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.
Σελίδα 35 - Triangles upon equal bases, and between the same parallels, are equal to one another.