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 TablesA. S. Barnes, 1839 - 412 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 the quotient , Divide the reserved quotient by the square 9x2x2 0.8 10 , we have 2.3025850929933 , the log . of 10. Hence by one addition OF LOGARITHMS . 29.
... log . of 2. To the triple of this adding the log . of 0.8 , because the quotient , Divide the reserved quotient by the square 9x2x2 0.8 10 , we have 2.3025850929933 , the log . of 10. Hence by one addition 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 base bearing blank line centre chains and links circle circumferentor column compasses contained Cosine Sine 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 multiplied needle nonius number of degrees object observed opposite parallelogram perches perpendicular plane prob PROBLEM proportion protractor quadrant quotient radius rhombus right angles right line scale of equal screw secant sect sector semicircle side Sine Cotang square root station stationary distance subtract suppose survey taken Tang tangent theo theodolite THEOREM trapezium triangle ABC trigonometry two-pole chains vane vulgar fraction whence
Pasajes populares
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 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 41 - The radius of a circle is a right line drawn from the centre to the circumference.
Página 45 - A lemma is something which is premised, or demonstrated, in order to render what follows more easy. A corollary is a consequent truth derived immediately from some preceding truth or demonstration.
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.
Página 21 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.