The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skillful Practice of this Art |
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... taken to render the whole evident and familiar are as follow : * In section the first ( Part the First ) you have Decimal Frac- tions . The second section contains Involution and Evolution . * The remaining part of the Author's Preface ...
... taken to render the whole evident and familiar are as follow : * In section the first ( Part the First ) you have Decimal Frac- tions . The second section contains Involution and Evolution . * The remaining part of the Author's Preface ...
Page
... taken from 6 . 7 x 3 , or 7.3 , denotes that 7 is to be multiplied by 3 . 84 , denotes that 8 is to be divided by 4 . 2 : 3 4 : 6 , shows that 2 is to 3 as 4 is to 6 .. 6 + 4 = 10 , shows that the sum of 6 and 4 is equal to 10 . ✓3 ...
... taken from 6 . 7 x 3 , or 7.3 , denotes that 7 is to be multiplied by 3 . 84 , denotes that 8 is to be divided by 4 . 2 : 3 4 : 6 , shows that 2 is to 3 as 4 is to 6 .. 6 + 4 = 10 , shows that the sum of 6 and 4 is equal to 10 . ✓3 ...
Page 25
... taken for the assumed root , and the whole operation should be repeated . 2. Required the biquadrate root of 2.0743 . form by myself , and the investigation and use of it were given at large in my Tracts - page 45 , & c . " The ...
... taken for the assumed root , and the whole operation should be repeated . 2. Required the biquadrate root of 2.0743 . form by myself , and the investigation and use of it were given at large in my Tracts - page 45 , & c . " The ...
Page 27
... taken kinds of geometrical series . But the Loga- rithms most convenient for common uses are those adapted to a geometrical series increasing in a ten - fold progression , as in the last of the foregoing examples . In the geometrical ...
... taken kinds of geometrical series . But the Loga- rithms most convenient for common uses are those adapted to a geometrical series increasing in a ten - fold progression , as in the last of the foregoing examples . In the geometrical ...
Page 35
... taken for the Index to the Logarithm of the Quo . tient . Likewise when one has been borrowed in the left hand place of the Decimal part of the Lo- garithm , add it to the Index of the Divisor , if affir- mative ; but subtract it , if ...
... taken for the Index to the Logarithm of the Quo . tient . Likewise when one has been borrowed in the left hand place of the Decimal part of the Lo- garithm , add it to the Index of the Divisor , if affir- mative ; but subtract it , if ...
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Common terms and phrases
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
Popular passages
Page 246 - ... that triangles on the same base and between the same parallels are equal...
Page 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.
Page 231 - RULE. From half the sum of the three sides subtract each side severally.
Page 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.
Page 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.
Page 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...
Page 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.
Page 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.
Page 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.
Page 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.