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112 It is moreover observable that a Star of a Small [[strikethrough]] Latitude [[/strikethrough]] Declination will in time be overtaken in Right Ascension by one of a greater [[strikethrough]] Latitude [[/strikethrough]] Declination; because the Angle formed by the meridian passing thro' the Star and the Circle of Latitude, increases in proportion to the Declin^n. Therefore if any two know^n stars should be fixed upon for discovering a true Meridian line, which are now upon different meridians, there will be a time when they will be upon the same Meridian and to discover this I have proposed this [[bold]]Question[[/bold]. Required a general Theorem to find in what year to come will [[strikethrough]] where [[/strikethrough]] any two given Stars [[strikethrough]] shall [[/strikethrough]] be upon [[strikethrough]] the [[/strikethrough]] one and the same or opposite meridian? [[bold]]Solut:[[/bold]] In Fig. 23, 24, 25, 26, [[bold]] N [[/bold]]and [[bold]]A [[/bold]] represents the North pole Star and Alioth (in the great bear's Tail) in several (tho' not all the) positions that may happen, and Fig. 26 their position in the year 1760 when the R. A. of [[bold]]N. [[/bold]]increases swifter than that of [[bold]]A[[/bold]], and the declination of [[bold]]N [[/bold]]increases, but that of [[bold]]A [[/bold]]decreases; [[bold]]n [[/bold]and [[bold]]a [[/bold]]represent these two stars at the required time when they are both under the same or opposite Meridians. Now there is given PE = 23°..2'g the distance of the Pole of the Ecliptic from the pole of the World: [[strikethrough]]that[[/strikethrough]]NE = ^nE=^ 23° 55' 49", AE = ^aE^= 35°..39'..44" the Co Lat. [[strikethrough]] ? [[/strikethrough]] ^the^ < NEP = 4°..46'..59" [[strikethrough]] ? [[/strikethrough]] the Longitude of N from 69 in 1760 by Dr. Halley's Tables & < AEP = 24°..30'.. 15", the Longitude of [[bold]]A [[/bold]] from [[Saturn symbol?]] by D°. Also [[strikethrough]] ? [[/strikethrough]]Transcription Notes:
These mathematical symbols are really hard to translate into something meaningful.