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[[right margin]] The [[underline]] vis inertia [[/underline]] is a consequence of Gravity otherwise 3 forces must be in every moving body. [[/right margin]]
The Second Way, as it is applicable to [[underline]] Alioth [[/underline]] or any other Star; and, if the plane be nearly parallel to the horizon, Refraction will not affect the observation, with respect to the meridian; [[strikethrough]] and [[/strikethrough]] the 
[[left margin]]almost insuperable objections to finding a Merid. & the Lat. by the Method just laid down. [[/left margin]]
only objections I have to this method, at present, are that it cannot be performed in the Summer season, when a star is not visible 12 hours. and secondly, that plane passing through the erected plane & sight requires a position
[[right margin]] Fluids cannot give motion & resistance in the same body at the same time [[/right margin]]
of passing thro' the very pole, or bisecting the path of the Star, which is presupposing the very thing sought for. & is as great an obstacle as the Time foregoing. This likewise is the case with finding the Lat. by the method just described. [[insertion]] This is remedied by having the sight to move up and down vertically. [[/insertion]]
[[right margin]] Light gives no resistance to Pendulums, as S[i]r I. [[underline]] Newton [[/underline]] has made it, [[underline]] Principia.[[/underline]] p. [[/right margin]]
Third way; [[strikethrough of paragraph]] make choice of any two ^ [[insertion]] known [[/insertion]] Stars, having nearly [[strikethrough]] the same Right Ascension or [[/strikethrough]] 180° difference [[strikethrough]] and on the same side [[/strikethrough]] [[insertion]] of Right Ascension, [[/insertion]] and their relative motion as swift [[strikethrough]] as swift [[/strikethrough]] as possible, for observing when both come at the same instant in the plane of two plumb lines: Then having the Latitude of the place, the deviation of those lines from the Merid. may be thus found. In fig. 34. [[/strikethrough of paragraph]]
[[right margin]] Light ^ [[insertion]] may [[/insertion]] press [[strikethrough]] es [[/strikethrough]] unequally in vacuo.[[/right margin]]
fix upon any two known stars, which have about 180°. difference of Right Ascension; their declinations North, but  [[strikethrough]] less [[/strikethrough]] ^ [[insertion]] greater [[/insertion]] than the Latitude of the place, yet as near the zenith as can well be observed, that their relative motions may be as swift as possible. Observe when both come, at the same instant of time, in the plane of two plumb lines or rather a sight and a plumb line: Then having the latitude of the place, the deviation of those lines from the meridian may be thus found. In fig. 34. GAD, represents the path of the North pole Star round the pole P, and EBF that of [[underline]] Alioth [[/underline]] in 
[[right margin]] The water mix'd with air adds to the weight of Salt of tartar. these seperated again. by distillation. [[/right margin]]
the great bear: AP, the Co Decl[inatio]n of the pole Star; BP, that of [[underline]] Alioth [[/underline]], and their included Angle APB = the difference of their Right Ascensions; and ZAB, the plane of the Sight and plumb line. Whence by the operations repeated on p. 47 & 49. And from the Right Ascensions & Declinat[io]ns given on p. 19. I have found the the plane of the Sight and plumb-line passing through these two Stars, when [[underline]] Alioth [[/underline]] is below the pole, declines from