A Treatise on Navigation and Nautical Astronomy: Tables

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Page 92 - ... within these limits ; and then the results from the table, multiplied by the same number, will give the required parts of the proposed triangle ; observing that the angles must in no case be multiplied and divided.
Page 82 - Dist. Lat. Dep. Dist. Lat. Dep. Dist. Lat. Dep. Dist Lat. Dep. Dist. Lat. Dep. 1 2 3 4 5 6 7 8 9 10 00.8 01.7 02.5 o3.3 04.2 o5.0 o5.8 06.7 o7.5 o8.3 00.6 01 .1 01.7 O2.
Page 87 - The characteristic of the logarithm of a number greater than one is positive, and is one less than the number of digits in the integral part of the number.
Page 87 - If the number consist wholly of decimals, the index of the logarithm is then negative, and it is indicated by the place occupied by the first figure in the decimal. Thus the index of the logarithm of .04 is — 2 ; of .006, — 3, &c. But to avoid the confusion that might arise by the addition and subtraction of negative indices, it is customary to take the arithmetical complement of the negative indices, and to consider these complements as positive. Thus 8 is put as the imbx of .04, 7 as the index...
Page 80 - Dep. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56...
Page 6 - NUMBERS FROM 1 TO 10,000. No. Log. No. Log. No. Log. No. Log. No. Log. 1 2 3 4 5 0.000000...
Page 90 - Arc whose Log. Sine is given. To one-third of the log. secant of the arc in the Table, whose log. sine most nearly corresponds with the given log. sine, add the given log. sine, and 5-314425, and the sum will be the common log. of the seconds in the required arc. To find a small Arc when its Log. Tangent is given. ' To the log. tangent add 5-314425, and from the sum subtract two-thirds of the log.
Page 89 - ... column are increasing, but next greater when the logarithms in the column are decreasing, and take the degrees and minutes corresponding to that logarithm for the degrees and minutes in the required arc. Then to the difference between the logarithm so found and the given logarithm we annex two...
Page 74 - Difference of Latitude and Departure for 3 Points. Dist Lat. Dep. Dist Lat. Dep.
Page 92 - If the given angle be lefs than 45 degrees, it is found at the top of the table, and the minutes in the left-hand column reckoned down' wards, and its complement is found at the bottom, and the minutes on the right-hand cplumn.

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