The Field Engineer: A Handy Book of Practice in the Survey, Location, and Track-work of Railroads; Containing a Large Collection of Rules and Tables, Original and Selected, Applicable to Both the Standard and the Narrow Gauge, and Prepared with Special Reference to the Wants of the Young EngineerD. Van Nostrand Company, 1890 - 339 páginas |
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Página 13
... cotang . , as the case may be ; the number there found is the logarithm sought . Thus , log . sin . 19 ° 55 ' log . tang . 19 ° 55 ' . · • • • 9.532312 9.559097 • 3. If the angle is greater than 45 ° , look for the degrees at the bottom ...
... cotang . , as the case may be ; the number there found is the logarithm sought . Thus , log . sin . 19 ° 55 ' log . tang . 19 ° 55 ' . · • • • 9.532312 9.559097 • 3. If the angle is greater than 45 ° , look for the degrees at the bottom ...
Página 19
... . = 1 sin . COS . COS . ; cotang . = - sin . tang . 1 1 sec . = ; cosec . = COS . sin . · ; versine — 1 — cos .; co - versine — 1 — sin . ADJUSTMENT AND USE OF INSTRUMENTS . IX.-XV. ADJUSTMENT AND USE RIGHT - ANgled planE TRIANGLES . 19.
... . = 1 sin . COS . COS . ; cotang . = - sin . tang . 1 1 sec . = ; cosec . = COS . sin . · ; versine — 1 — cos .; co - versine — 1 — sin . ADJUSTMENT AND USE OF INSTRUMENTS . IX.-XV. ADJUSTMENT AND USE RIGHT - ANgled planE TRIANGLES . 19.
Página 54
... Cotang . 1 1 Cotang . 11 : 155356 60 153545 59 151740 58 149943 57 148154 56 146372 55 144597 54 142829 53 141068 52 139314 51 137567 50 11 135827 49 134094 132368 47 130649 46 128936 45 127230 125531 43 123838 42 122151 41 120471 40 ...
... Cotang . 1 1 Cotang . 11 : 155356 60 153545 59 151740 58 149943 57 148154 56 146372 55 144597 54 142829 53 141068 52 139314 51 137567 50 11 135827 49 134094 132368 47 130649 46 128936 45 127230 125531 43 123838 42 122151 41 120471 40 ...
Página 198
... Cotang . Infinite . 501717 293485 208231 161517 131969 111578 99653 85254 76263 68988 6298 ; 57938 53642 49939 46715 43882 41373 39136 37128 35317 33673 32176 30806 29549 28390 27318 26325 25401 24540 23735 22981 22275 21610 20983 20392 ...
... Cotang . Infinite . 501717 293485 208231 161517 131969 111578 99653 85254 76263 68988 6298 ; 57938 53642 49939 46715 43882 41373 39136 37128 35317 33673 32176 30806 29549 28390 27318 26325 25401 24540 23735 22981 22275 21610 20983 20392 ...
Página 199
... Cotang . ( 11.758079 60 750898 59 256094 11580 999929 04 256165 11584 743835 263042 11398 269881 11221 999927 04 263115 11402 736885 57 999925 04 269956 11225 276614 11050 999922 04 276691 11054 283243 10883 999920 04 283323 10887 ...
... Cotang . ( 11.758079 60 750898 59 256094 11580 999929 04 256165 11584 743835 263042 11398 269881 11221 999927 04 263115 11402 736885 57 999925 04 269956 11225 276614 11050 999922 04 276691 11054 283243 10883 999920 04 283323 10887 ...
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Términos y frases comunes
A. D. MIN adjustment apex distance backsight called capstan central angle CHORD column Cosine 1 Sine cross-hair Cube Roots decimal deflection angle deflection distance degree of curvature degree of curve Diff divided equal error Example figure fixed foregoing formation slope frog angle gauge of track gauge side ground inches index angle intersection angle located logarithm M.
M. I Sine Main frog dist mantissa mark measure method metres middle frog middle ordinate minutes multiplied natural sine number corresponding observation opposite outer rail parallel perpendicular plane triangle Polaris quotient radii radius range REVERSED CURVE rule Sine 1 Cotang Square Roots sub-chord subtended Subtract Suppose switch-rail Table XVI tabular tance Tang tangent A B tangential angle tangential distance telescope terminal tangent tion toe of switch transitman Trigonometry turnout curve vernier vertical ΙΟ бо
Pasajes populares
Página 18 - ... the square of the hypothenuse is equal to the sum of the squares of the other two sides.
Página 4 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 4 - That is, the logarithm of a quotient is equal to the logarithm of the dividend diminished by that of the divisor. 7. Raising both members of (4) to the power denoted by p, we have, 10...
Página 17 - As the sum of the given sides is to their difference, So is the tangent of half the sum of the remaining angles to the tangent of half their difference.
Página 15 - ... the tangent of half the sum of the angles at the base to the tangent of half their difference.
Página 14 - This is done by reversing the preceding rule : Look in the proper column of the table for the given logarithm ; if it is found there, the degrees are to be taken from the top or bottom, and the minutes from the left or right hand column, as the case may be. If the given logarithm is not found in the table, then find the next less logarithm, and take from the table the corresponding degrees and minutes, and set them aside. Subtract the logarithm found in the table, from the given logarithm, and divide...
Página 13 - Tangent, fyc., of any number of degrees and minutes. If the given angle is less than 45°, look for the degrees at" the top of the table, and the minutes on the left ; then, opposite to the minutes, and under the word sine at the head of the column, will be found the sine ; under the word tangent, will be found the tangent, &c. The log, sin of 43° 25' is 9.83715 The tan of 17° 20...
Página 15 - ... opposite to that leg. And one of the legs is to the other as the radius to the tangent of the angle opposite to the latter.
Página 5 - The rule is the reverse of those just given. Look in the table for the mantissa of the given logarithm. If it cannot be found, take out the next less mantissa, and also the corresponding number...
Página 13 - If the angle is greater than 45°, look for the degrees at the bottom of the page, and for the minutes in the right...