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 10
... root . 3 " 66 S cube root , & c . difference between two numbers , when it is not known which is the greater . Thus , 5 + 3 , denotes that 3 is to be added to 5 . 6 - 2 , denotes that 2 is to be taken from 6 . 7 × 3 , or 7. 3 , denotes ...
... root . 3 " 66 S cube root , & c . difference between two numbers , when it is not known which is the greater . Thus , 5 + 3 , denotes that 3 is to be added to 5 . 6 - 2 , denotes that 2 is to be taken from 6 . 7 × 3 , or 7. 3 , denotes ...
Página 22
... root , to any required power . Any number , whether given or assumed at pleasure , may be called the root or first power of this number ; and its other powers are the products that result from multiplying the number by itself , and the ...
... root , to any required power . Any number , whether given or assumed at pleasure , may be called the root or first power of this number ; and its other powers are the products that result from multiplying the number by itself , and the ...
Página 23
... root is 9 ; because 9 × 9 = 92 = 81 ; and 3 is its biquadrate , or fourth root , because 3 × 3 × 3 × 3 = 34 = 81 . Again , if 729 be the given power , and its cube root be required , the answer is 9 , for 9 × 9 × 9 = 729 ; and if the sixth ...
... root is 9 ; because 9 × 9 = 92 = 81 ; and 3 is its biquadrate , or fourth root , because 3 × 3 × 3 × 3 = 34 = 81 . Again , if 729 be the given power , and its cube root be required , the answer is 9 , for 9 × 9 × 9 = 729 ; and if the sixth ...
Página 24
... root already obtained . Try how often this part of the divisor is contained in the dividend wanting the last figure , and annex the figures thus found to the parts of the root and of the divisor already de- termined . Thus multiply and ...
... root already obtained . Try how often this part of the divisor is contained in the dividend wanting the last figure , and annex the figures thus found to the parts of the root and of the divisor already de- termined . Thus multiply and ...
Página 25
... root of 348.17320836 . Ans . 18.6594 . Required the square root of 17.3056 . Required the square root of .000729 . Ans . .027 . Required the square root of 173. Ans . 4.168333+ TO EXTRACT THE CUBE ROOT . RULE I. - Commencing at the unit ...
... root of 348.17320836 . Ans . 18.6594 . Required the square root of 17.3056 . Required the square root of .000729 . Ans . .027 . Required the square root of 173. Ans . 4.168333+ TO EXTRACT THE CUBE ROOT . RULE I. - Commencing at the unit ...
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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.