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or take theil* difference and apply tthe sign of the greater to it, ifthey have different signs; and the Moon’s mean hourly motion inlatitude will be had. Then lay, as 32k 56'' is to the hourly motionof the Moon in her orbit : : so is the mean hourly motion in-lati-tude : to the true hourly motion in latitude ; which tends to thenorth if it be marked with the sign +, but to the south if it bemarked with the sign —. Or the true hourly motion of the Moon inlatitude may be more easily found from the mean hourly motion in la-titude, by logistic logarithms, as follows: to the constant logarithm9-7395 add the logistic logarithms of the hourly motion of the Moonin her orbit, and the proper fum of the numbers taken out of tab.ist and 2d, p. lxxxii ; the fum of thefe three logarithms, rejecting10 from the index, will be the logistic logarithm of the Moon’strue hourly motion in latitude.

See the example at the end of Probi. XX. among the Latin pre->•cepts.

PROBLEM XXL

The longitude and latitude of the Moon, or any planet,or zodiacal ftar, being given, to find its right afcen-fion and declination,; provided the given latitude doesnot exceed fix degrees.

r. With the given longitude take out the reduction of the eclipticto the equator from p. xxvm, xxix (without takingany notice ob thecolumn of mutation) and apply it, according to its sign, to the longi-tude, and you wilhhave the right afcenlion of the-ecliptic place ofthe planet.

*7

2. With