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 26
... square of the denominator , find the cube root of the product , and divide by the denominator . The cube root of a mixed number is generally best found by reducing the fractional part to a decimal , if it be not so already , and then ...
... square of the denominator , find the cube root of the product , and divide by the denominator . The cube root of a mixed number is generally best found by reducing the fractional part to a decimal , if it be not so already , and then ...
Página 29
... square CAFE = 1 . In CA take AB and Ab , on each side , or 0.1 ; and , erecting the perpendiculars BD , bd , half the sum of the spaces AD and Ad will be 0.1+ and the half diff . + + 0.001 0.00001 0.0000001 3 5 7 0.01 0.0001 0.000001 ...
... square CAFE = 1 . In CA take AB and Ab , on each side , or 0.1 ; and , erecting the perpendiculars BD , bd , half the sum of the spaces AD and Ad will be 0.1+ and the half diff . + + 0.001 0.00001 0.0000001 3 5 7 0.01 0.0001 0.000001 ...
Página 30
... square of A , and reserve this quotient . Divide the last reserved quotient by the square of A , reserving the quotient still ; and thus pro- ceed as long as division can be made . Write the reserved quotients orderly under one another ...
... square of A , and reserve this quotient . Divide the last reserved quotient by the square of A , reserving the quotient still ; and thus pro- ceed as long as division can be made . Write the reserved quotients orderly under one another ...
Página 39
... square root of 847 . Index 2 ) 2.927883 = log . of 847 . 1.463941 = quot . = log . of 29.103 + = Ans . 2. Required the cube root of 847 . Index 3 ) 2.927883 = log . of the given number . 0.975961 = quot . log . of 9.462 Ans . nearly . 3 ...
... square root of 847 . Index 2 ) 2.927883 = log . of 847 . 1.463941 = quot . = log . of 29.103 + = Ans . 2. Required the cube root of 847 . Index 3 ) 2.927883 = log . of the given number . 0.975961 = quot . log . of 9.462 Ans . nearly . 3 ...
Página 44
... square , as ABCD , fig . 17 . 44. A parallelogram whose opposite sides are equal and angles right is called a rectangle , or an oblong , as ABCD , fig . 3 . 45. A rhombus is a parallelogram of equal sides , and has its angles oblique ...
... square , as ABCD , fig . 17 . 44. A parallelogram whose opposite sides are equal and angles right is called a rectangle , or an oblong , as ABCD , fig . 3 . 45. A rhombus is a parallelogram of equal sides , and has its angles oblique ...
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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.