The Nautical almanac and astronomical ephemeris for the year - Softcover
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1828 Excerpt: ...to the Method shown for computing the Moon's Latitude, Page 156-157, except that the Correction of second Differences, at the middle of the Interval to be interpolated, was taken i of the Mean of the Two second Differences, and at the First and Third Quarter of the Interval was taken £ of the Correction just found at the Middle of the Interval; instead of consulting the Table, which would however have given the same Result. But, at the first 12 Hours, when the Distances of the Moon from a Star begin, and the last 12 Hours, when the Distances end, there being only One second Difference instead of Two second Differences 0nieauh Slde t0 take a Mean of' this Method faib in these Cases, and therefore the following is to be substituted in its stead, being derived from Sir Isaac Newton's Solution of the Problem of drawing a Curve through the Extremities of any Number of given Ordinates. From Four Distances at Noon and Midnight computed strictly, to interpolate Three Distances at the Hid, Vlth, and IXth Hour of the first or last Interval. Subtract each Distance from the following, for the first Difference, and prefix the Sign--, if the Distances decrease. Subtract each first Difference thus found from the following one of the same Order, for the second Difference: and in like manner subtract the First second difference from the following for the third Difference; applying the Signs as in algebraic Subtraction. Denote the first or last first Difference by b; the first or last second Difference by c, accordingly as the Interpolation to be made is for the first or last 12 Hours; denote also the third Difference by d, and, a being put to signify the Distance at the Beginning of the Interval, the interpolated Distances will be as follows:--At Hid Hour of first Inte...
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- PublisherRarebooksclub.com
- Publication date2012
- ISBN 10 1130558444
- ISBN 13 9781130558449
- BindingPaperback
- Number of pages42
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