A Treatise of Practical Surveying, ...1808 - 440 páginas |
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... the Mathematics . In fix Part , viz . riety of questions . Arithmetic in all its ufeful Rules , and a great va- 2 Vulgar Fractions in all their Parts . 3 Deci a fractions , with the Extraction of Roots of 4. Men- different Powers ; to ...
... the Mathematics . In fix Part , viz . riety of questions . Arithmetic in all its ufeful Rules , and a great va- 2 Vulgar Fractions in all their Parts . 3 Deci a fractions , with the Extraction of Roots of 4. Men- different Powers ; to ...
Página 11
... THE EXTRACTION OF THE 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 ...
... THE EXTRACTION OF THE 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 ...
Página 12
... the number of figures in the given square number is even , we find the nearest square number to the two first figures 29 , which is 25 , the root whereof 5 , we set in the quotient , and deduct 25 from 29 , and to the residue 4 , we annex ...
... the number of figures in the given square number is even , we find the nearest square number to the two first figures 29 , which is 25 , the root whereof 5 , we set in the quotient , and deduct 25 from 29 , and to the residue 4 , we annex ...
Página 17
... the end C , and the other end B , be carried quite round , then the space comprehended is called a circle ; and the curve line described by the point B , is called the circumference , or the periphery of the circle ; the fixed point C ...
... the end C , and the other end B , be carried quite round , then the space comprehended is called a circle ; and the curve line described by the point B , is called the circumference , or the periphery of the circle ; the fixed point C ...
Página 18
... the said chord HG and the arc HDAEG are called segments . Whence it is plain , fig . 8 . 1. That any chord will divide the circle into two segments . 2. The less the chord is , the more unequal are the segments . 3. When the chord is ...
... the said chord HG and the arc HDAEG are called segments . Whence it is plain , fig . 8 . 1. That any chord will divide the circle into two segments . 2. The less the chord is , the more unequal are the segments . 3. When the chord is ...
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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.