A Treatise of Practical Surveying: Which is Demonstrated from Its First Principles ...Lewis Nichols, 1806 - 452 σελίδες |
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Σελίδα 81
... co - tan- gent only . From twice the radius , Take the co - tangent of 29 ° . 50 ' 20.00000 10.24148 The rem . is the tang . of 29 ° . 50 ' req . 9.75852 4. To find the secant by the help of a co - sine ; which may be found of great use ...
... co - tan- gent only . From twice the radius , Take the co - tangent of 29 ° . 50 ' 20.00000 10.24148 The rem . is the tang . of 29 ° . 50 ' req . 9.75852 4. To find the secant by the help of a co - sine ; which may be found of great use ...
Σελίδα 260
... tang . of the alt . 37 30 - 9.88498 :: tangent of the 6th arc 23 58 0.64790 Co - sine of the sun's true azim . 70 04- 9.53288 True azimuth S. 70 ° 04 ' E. Magnetical azimuth S. 51 00 E. Variation 19 04 W. The true azimuth being to the ...
... tang . of the alt . 37 30 - 9.88498 :: tangent of the 6th arc 23 58 0.64790 Co - sine of the sun's true azim . 70 04- 9.53288 True azimuth S. 70 ° 04 ' E. Magnetical azimuth S. 51 00 E. Variation 19 04 W. The true azimuth being to the ...
Σελίδα 408
... Co - sine . Tang . Co - tang Secant . | Co - sec . 0 10,00000 / 10.000000.00000 Infinite . 10.00000 Infinite 60 I 6,46373 10.00000 6.46373 13.53927 10.00000 13.53627 59 ... Tang . Go 408 Artificial Sines , Tang . and Sec . 0 Degree .
... Co - sine . Tang . Co - tang Secant . | Co - sec . 0 10,00000 / 10.000000.00000 Infinite . 10.00000 Infinite 60 I 6,46373 10.00000 6.46373 13.53927 10.00000 13.53627 59 ... Tang . Go 408 Artificial Sines , Tang . and Sec . 0 Degree .
Σελίδα 409
... Co - sine . , Tang . Go - tang ' Secant . [ Co - sec . Q 8.24185 9.99993 8.24192 11,75808 10,00007 11.75814 60 75097 59 I 2 25609 24003 99993 24910 75090 00007 99993 25616 74384 ... Tang . Artificial Sines , Tang . and Sec . 1 Degree . 409.
... Co - sine . , Tang . Go - tang ' Secant . [ Co - sec . Q 8.24185 9.99993 8.24192 11,75808 10,00007 11.75814 60 75097 59 I 2 25609 24003 99993 24910 75090 00007 99993 25616 74384 ... Tang . Artificial Sines , Tang . and Sec . 1 Degree . 409.
Σελίδα 410
... Co - sine . ] Tang . Co - tang / Secant . | Co - sec . 8.54282 9.99973 8,54309 11.45692 10.00026 11,45718 60 546421 99973 01234 SO T89 54669 45331 00027 45358 59 54999 53354 99973 ... Tang . Co 410 Artificial Sines , Tang . and Sec . 2 Deg .
... Co - sine . ] Tang . Co - tang / Secant . | Co - sec . 8.54282 9.99973 8,54309 11.45692 10.00026 11,45718 60 546421 99973 01234 SO T89 54669 45331 00027 45358 59 54999 53354 99973 ... Tang . Co 410 Artificial Sines , Tang . and Sec . 2 Deg .
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Συχνά εμφανιζόμενοι όροι και φράσεις
40 perches ABCD acres altitude Answer base bearing blank line centre chains and links chord circle circumferentor Co-sec Co-sine Co-tang Tang column contained cyphers decimal decimal fraction diameter difference distance line divided divisor draw drawn east edge EXAMPLE feet field-book figures fore four-pole chains half the sum height hypothenuse inches instrument Lat Dep Lat latitude line of numbers logarithm measure meridian distance multiplied needle number of degrees off-sets parallel parallelogram perpendicular piece of ground plane Plate prob PROBLEM proportion protractor quotient radius right angles right line scale of equal SCHOLIUM Secant second station sect semicircle side sights sine square root stationary distance sun's suppose survey taken tance tangent thence theo theodolite THEOREM trapezium triangle ABC trigonometry true amplitude two-pole chains vane variation whence
Δημοφιλή αποσπάσματα
Σελίδα 25 - 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 207 - ... that triangles on the same base and between the same parallels are equal...
Σελίδα 40 - 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 43 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Σελίδα 103 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Σελίδα 31 - Figures which consist of more than four sides are called polygons ; if the sides are all equal to each other, they are called regular polygons. They sometimes are named from the number of. their sides, as a five-sided figure is called a pentagon, one of six sides a hexagon, &"c.
Σελίδα 31 - ... they are called regular polygons. They sometimes are named from the number of their sides, as a five-sided figure is called a pentagon, one of. six sides a hexagon, &c. but if their sides are not equal to each other, then they are called irregular polygons, as an irregular pentagon, hexagon, &c.
Σελίδα 45 - The hypothenuse of a right-angled triangle may be found by having the other two sides ; thus, the square root of the sum of the squares of the base and perpendicular, will be the hypothenuse. Cor. 2. Having the hypothenuse and one side given to find the other; the square root of the difference of the squares of the hypothenuse and given side will be the required side.
Σελίδα 265 - As the length of the whole line, Is to 57.3 Degrees,* So is the said distance, To the difference of Variation required. EXAMPLE. Suppose it be required to run a line which some years ago bore N. 45°.
Σελίδα 32 - Things that are equal to one and the same thing are equal to one another." " If equals be added to equals, the wholes are equal." " If equals be taken from equals, the remainders are equal.