The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skillful Practice of this Art |
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Results 1-5 of 47
Page 142
... Co. 7.075204 AB = 562 H - AC 41 Ar . Co. 8.387216 BC = 320 H - AB = 279 Log . 2.445604 H - BC = 521 Log . 2.716838 Sum 1682 sum 20.624862 sum 841H 2 Tang of 64 ° 2 ' = sum 10.312431 Whose double 128 ° 4 ' is the angle ABC . Whence the ...
... Co. 7.075204 AB = 562 H - AC 41 Ar . Co. 8.387216 BC = 320 H - AB = 279 Log . 2.445604 H - BC = 521 Log . 2.716838 Sum 1682 sum 20.624862 sum 841H 2 Tang of 64 ° 2 ' = sum 10.312431 Whose double 128 ° 4 ' is the angle ABC . Whence the ...
Page 16
... co - sine , co - tangent , & c . of their excess above 90 degrees . EXAMPLES . logarithm , Required the log . sine of 36 32 9.774729 co - sine of 61 18 9.681443 tangent of 54 17 10.143263 Co - tang . of 42 50 10.032877 secant of 19 27 * ...
... co - sine , co - tangent , & c . of their excess above 90 degrees . EXAMPLES . logarithm , Required the log . sine of 36 32 9.774729 co - sine of 61 18 9.681443 tangent of 54 17 10.143263 Co - tang . of 42 50 10.032877 secant of 19 27 * ...
Page 22
... Co - tang . Secant . Co - sec . M 0 0.000000 10.000000 0.000000 Infinite . 10.000000 Infinite . 60 1 6.463726 10.000000 6.463726 13.536274 10.000000 13.536274 59 2 6.764756 10.000 00 6.764 56 13.235244 10.000000 13.235244 58 3 6.940847 ...
... Co - tang . Secant . Co - sec . M 0 0.000000 10.000000 0.000000 Infinite . 10.000000 Infinite . 60 1 6.463726 10.000000 6.463726 13.536274 10.000000 13.536274 59 2 6.764756 10.000 00 6.764 56 13.235244 10.000000 13.235244 58 3 6.940847 ...
Page 23
... Co - sine . Taug Co - tang . Secant . Co - sec . M 08.241855 9.999934 8.241921 11.758079 10.000066 11.758145 60 1 8.249033 9.999932 8.249102 11.750898 10.000068 11.750967 ... tang . Secant . Co. LOGARITHMIC SINES , TANGENTS , AND SECANTS .
... Co - sine . Taug Co - tang . Secant . Co - sec . M 08.241855 9.999934 8.241921 11.758079 10.000066 11.758145 60 1 8.249033 9.999932 8.249102 11.750898 10.000068 11.750967 ... tang . Secant . Co. LOGARITHMIC SINES , TANGENTS , AND SECANTS .
Page 24
... Co - tang . Secant . Co - sec . M 56 M Sine . Co - sine . Tang . 08.542819 9.999735 8.543084 11.456916 10.000265 11.457181 60 18.546422 9.999731 8.546691 11.453309 10.000269 11.453578 59 2 8.549995 9.999726 8.550268 11.449732 10.000274 ...
... Co - tang . Secant . Co - sec . M 56 M Sine . Co - sine . Tang . 08.542819 9.999735 8.543084 11.456916 10.000265 11.457181 60 18.546422 9.999731 8.546691 11.453309 10.000269 11.453578 59 2 8.549995 9.999726 8.550268 11.449732 10.000274 ...
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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.