The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art. With a New Set of Accurate Mathematical TablesHarper, 1832 - 348 páginas |
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Página 12
... Hence it appears , that as the value and denomination of any figure , or number of figures , in common arithmetic is enlarged and becomes ten , or a hundred , or a thousand times greater , by placing one , or two , or three ciphers ...
... Hence it appears , that as the value and denomination of any figure , or number of figures , in common arithmetic is enlarged and becomes ten , or a hundred , or a thousand times greater , by placing one , or two , or three ciphers ...
Página 28
... Hence it appears that there may be as many kinds of indices , or logarithms , as there can be taken kinds of geometrical series . But the logarithms most convenient for common uses are those adapted to a geometrical series increasing in ...
... Hence it appears that there may be as many kinds of indices , or logarithms , as there can be taken kinds of geometrical series . But the logarithms most convenient for common uses are those adapted to a geometrical series increasing in ...
Página 29
... log . of 2. To the triple of this adding the log . of 0.8 , because 10 , we have 2.3025850929933 , the log . of 10. Hence by one addition 21212 0,8 the quotient . Divide the reserved quotient by the square OF LOGARITHMS . 29.
... log . of 2. To the triple of this adding the log . of 0.8 , because 10 , we have 2.3025850929933 , the log . of 10. Hence by one addition 21212 0,8 the quotient . Divide the reserved quotient by the square OF LOGARITHMS . 29.
Página 30
... hence , by addition and subtraction , will arise the logarithms of the primes 7 , 13 , 17 , 37 , & c . All which logarithms being divided by 2.3025850929933 ( the hyperbolic log . of 10 ) , or multiplied by its reciprocal , .4342944819 ...
... hence , by addition and subtraction , will arise the logarithms of the primes 7 , 13 , 17 , 37 , & c . All which logarithms being divided by 2.3025850929933 ( the hyperbolic log . of 10 ) , or multiplied by its reciprocal , .4342944819 ...
Página 39
... Hence , 3 times the negative index being - 3 , and 2 to carry from the decimals , the difference is -1 , the index of the product . 5. To find the 4th power of .09163 . 6. To find the 2d power of 6.05987 . 7. To find the cube of 3.07146 ...
... Hence , 3 times the negative index being - 3 , and 2 to carry from the decimals , the difference is -1 , the index of the product . 5. To find the 4th power of .09163 . 6. To find the 2d power of 6.05987 . 7. To find the cube of 3.07146 ...
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Términos y frases comunes
ABCD acres altitude arch azimuth base bearing blank line centre chains and links circle circumferentor co-sine column compasses contained cube root decimal diagonal diameter difference of latitude divided divisions divisor draw east ecliptic edge EXAMPLE feet field-book figure four-pole chains geometrical series given angle given number half the sum height Hence horizon glass hypothenuse inches instrument length logarithm manner measure meridian distance method multiplied needle nonius number of degrees object observed offsets opposite parallelogram perches perpendicular plane prob PROBLEM proportion protractor quadrant quotient radius rhombus right angles right line scale of equal SCHOLIUM screw secant sect sector semicircle side square root station stationary distance subtract suppose survey taken tangent theo theodolite THEOREM third trapezium triangle ABC trigonometry two-pole chains vane vulgar fraction whence
Pasajes populares
Página 173 - In like manner, when it is said, that " triangles on the same base, and between the same parallels, are equal...
Página 49 - 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 163 - RULE. From half the sum of the three sides subtract each side severally.
Página 41 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Página 97 - 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 41 - The radius of a circle is a right line drawn from the centre to the circumference.
Página 52 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Página 24 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.
Página 35 - DIVISION BY LOGARITHMS. RULE. From the logarithm of the dividend subtract the logarithm of the divisor, and the number answering to the remainder will be the quotient required.