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the Star will begin to appear also in the Opposite Point [[strikethrough]] [[illegible][[/strikethrough]] V, where it will seem to touch the apparent Disc of the Earth. And from thence it will seem to move (and that very near the Limb of the Earth) from v to V, in a retrograde Manner, and to disappear in V placed upon the Limb and the right Line KCV, as soon as the Star itself reaches the Point K. And so the Star, or any other chosen Lucid Points in the Heavenly Sphere, as suppose a Point chosen in a certain Segment of the Sun, will appear at once near the Limb of the Earth in two different and diametrically opposite Places, while it really describes the curve Kk; but seems to describe, near the Circumference of the apparent Disc, two curves Yy and vV, Which must needs afford a very singular and curious Sight. 

[[left margin]] Diameters [[symbol- sun]], [[symbol-crescent moon]] and Hor. Refr. necessary in Projection of Eclipses. [[/left margin]]
25. Therefore this being premised, we must, in order to make a regular Projection (to represent the Eclipses of the Sun and of fixed Stars by the Moon) establish first the exact Proportion between the Diameters of the Earth and of the Moon: And at the same time find the Quantity of the horizontal Refraction of Light in her Atmosphere. These two things I have actually done, or found out Methods to do them [[strikethrough]]by[[/strikethrough]] from 
[[Left margin]]Such Projections Erroneous, by assigning a wrong proportion to the Diameters of [[sketched symbols: sun, quarter moon, earth]], and neglecting the Refrn. of [[sketched image: quarter moon]]'s Atmosphere. [[/left margin]] Observations, and from the true Knowledge of the Sun's Parallax. Whereby not only the Errors made in the Projection for Solar Eclipses are manifested: which consist chiefly in giving in the Projection, a false Proportion to the Diameters of the Earth, of the Moon, and of the Sun, on one hand; and on the other hand in taking no Notice of the Refraction of Light in the Atmosphere of the Moon: But whereby it appears also, That, if the ordinary Projection accounts so