A Collection of Mathematical Tables; For the Use of Students in Universities and Academies, for the Practical Navigator, Geographer, and Surveyor, F (Paperback)

This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1804 edition. Excerpt: ...20, and decl. 12 4r Number from table L, to the given interval 9' 51 True altitude--Difference between the observed and meridian altitudes Meridian altitude Zenith distance----Declination------124N. Latitude-----19 55 N. H. February 28th, 1806, in latitude 24 S. by account, the correct altitude of Sirius, seven minutes before the time of its transit, was 82 14' N. Required its meridian altitude, and the latitude of the place of observation? Number from table XLIX, to latitude 24, and decL 16 29 12s.7 Number from table L., to interval 7' 49 Product-'.---622.3 = lCf Altitude of 3irius----82 14 Meridian attitude of 3irius---82 24 N. Zenith distance------7 363. Declination-------16 28 3. Latitude-'-----24 4 3. TABLE LI. To reduce the Longitude, Latitude, Right Ascension, Declination, Semidiameter, and Horizontal Parallax of the Moon, as given in the Nautical Almanack, to any given Meridian, and to any given Time under that Meridian. This table might have been greatly contracted --to prevent, however, any ambiguity to those not much acquainted with the method of taking out proportional parts, it is given in its present extended form. The proportional part answering to any given variation in twelve hours, is found by adding the parts answering to the several quantities that make up the whole difference in that period; which sum is to be added to the longitude, or right ascension of the moon at the preceding noon or midnight, rejecting 3600 if either exceeds that quantity. Aid it is to be applied by addition or subtraction, to the latitude, declination, semi-diameter, and horizontal parallax of the moon, according as these quantities are increasing or decreasing. Examples Required the moon's longitude, the 16th February, 1806, at 7 h. 36' P. M.?...