The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skillful Practice of this ArtE. Duyckinck, 1821 - 544 σελίδες |
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Σελίδα
... square root of the number 3 . 3/5 , or 5 , denotes the cube root of the number 5 . 72 , denotes that the number 7 is to be squared . 83 , denotes that the number 8 is to be cubed . & c . THE THEORY AND PRACTICE OF SURVEYING . THE HE word.
... square root of the number 3 . 3/5 , or 5 , denotes the cube root of the number 5 . 72 , denotes that the number 7 is to be squared . 83 , denotes that the number 8 is to be cubed . & c . THE THEORY AND PRACTICE OF SURVEYING . THE HE word.
Σελίδα 16
... root , as in the follow- ing EXAMPLE , where the method of involution is plainly exhibited . Required the fifth power of 8 the root , or first first multiply by 8 ( = power . then multiply the product 6482 = by 8 82 square , or [ second ...
... root , as in the follow- ing EXAMPLE , where the method of involution is plainly exhibited . Required the fifth power of 8 the root , or first first multiply by 8 ( = power . then multiply the product 6482 = by 8 82 square , or [ second ...
Σελίδα 17
... root from any given power . Any number may be considered as a power of some other number ; and the required root of any given power is that number , which , being multi- plied into itself a ... square root of 8 cub- INVOLUTION . 17.
... root from any given power . Any number may be considered as a power of some other number ; and the required root of any given power is that number , which , being multi- plied into itself a ... square root of 8 cub- INVOLUTION . 17.
Σελίδα 18
... square root of 8 cub- ed ; and , in general , the fractional indices imply , that the given numbers are to be raised to such powers as are denoted by their numerators , and that such roots are to be extracted from these powers , as are ...
... square root of 8 cub- ed ; and , in general , the fractional indices imply , that the given numbers are to be raised to such powers as are denoted by their numerators , and that such roots are to be extracted from these powers , as are ...
Σελίδα 19
... square in the first period on the left hand , and write its root on the right hand of the given number , in the manner of a quotient figure in division . Subtract the square , thus found , from the said period , and to the remainder ...
... square in the first period on the left hand , and write its root on the right hand of the given number , in the manner of a quotient figure in division . Subtract the square , thus found , from the said period , and to the remainder ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD acres altitude Answer arch base bearing centre chains and links circle circumferentor Co-sec Co-tang column compasses contained cube root decimal diagonal difference of latitude Dist 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 Logarithms measure meridian distance multiplied Natural Co-sines natural number natural sine Nonius number of degrees object observed off-sets opposite parallelogram perches perpendicular plane pole PROB proportional protractor Quadrant quotient radius rhombus right angles right line screw Secant sect semicircle side square root station subtract survey taken tance Tang tangent theo theodolite trapezium triangle ABC trigonometry two-pole chains vane versed sine vulgar fraction whence
Δημοφιλή αποσπάσματα
Σελίδα 246 - ... that triangles on the same base and between the same parallels are equal...
Σελίδα 58 - 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.
Σελίδα 231 - RULE. From half the sum of the three sides subtract each side severally.
Σελίδα 45 - 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.
Σελίδα 14 - 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.
Σελίδα 5 - His method is founded on these three considerations: 1st, that the sum of the logarithms of any two numbers is the logarithm of the product of...
Σελίδα 91 - ... scale. Given the length of the sine, tangent, or secant of any degrees, to find the length of the radius to that sine, tangent, or secant.
Σελίδα 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.
Σελίδα 30 - Then, because the sum of the logarithms of numbers, gives the logarithm of their product ; and the difference of the logarithms, gives the logarithm of the quotient of the numbers ; from the above two logarithms, and the logarithm of 10, which is 1, we may obtain a great many logarithms, as in the following examples : EXAMPLE 3.
Σελίδα 211 - At 170 feet distance from the bottom of a tower, the angle of its elevation was found to be 52° 30' : required the altitude of the tower ? Ans.