[Sidenote: To project a lunar Eclipse. Fig. III.] 389. This done, make a Scale of any convenient length as _W_, whereof each division is a minute of a degree; and take from it in your Compasses 54 Minutes 50 Seconds, the Sum of Semi-diameters of the Moon and Earth’s shadow; and with that extent as a Radius, describe that Circle _OVLG_ round _C_ as a Center. From the same Scale take 39 Minutes 48 Seconds, the Semi-diameter of the Earth’s shadow, and therewith as a Radius, describe the Circle _UUUU_ for the Earth’s shadow, round _C_ as a Center. Subtract the Moon’s Semi-diameter from the Semi-diameter of the Shadow, and with the difference 24 Minutes 46 seconds as a Radius, taken from the Scale _W_, describe the Circle _YZ_ round the Center _C_. Draw the right line _AB_ through the Center _C_ for the Ecliptic, and cross it at right Angles with the line _EG_ for the Axis of the Ecliptic. Because the Moon’s Latitude in this Eclipse is North Descending, § 384, set off the Angle of her visible Path with the Ecliptic 5 Degrees 38 Minutes (Page 202.) from _E_ to _V_; and draw _VCv_ for the Axis of the Moon’s Orbit. Had the Moon’s Latitude been North Ascending, this Angle must have been set off from _E_ to _f_. _N. B._ When the Moon’s Latitude is South Ascending, the Axis of her Orbit lies the same way as when she has North Ascending Latitude; and when her Latitude is North Descending, the Axis of her Orbit lies the same way as when her Latitude is South Descending. Take the Moon’s true Latitude 9ʹ 56ʺ in your Compasses from the Scale _W_, and set it off from _C_ to _F_ on the Axis of the Ecliptic because the Moon is north of the Ecliptic; (had she been to the South of it, her Latitude must have been set off the contrary way, as from _C_ towards _v_:) and through _F_, at right Angles to the Axis of the Moon’s Orbit _VCv_, draw the right line _LMHNO_ for the Moon’s Orbit, or her Path through the Earth’s shadow. _N. B._ When the Moon’s Latitude is North Ascending, or North Descending, she is above the Ecliptic: but when her Latitude is South Ascending, or South Descending, she is below it. Take the Moon’s true horary motion from the Sun, _viz._ 28 Minutes 22 Seconds, from the Scale _W_ in your Compasses; and with that extent make marks in the line of the Moon’s Path _LMHNO_: then divide each of these equal spaces into 60 equal parts or minutes of time: and set the hours to them as in the Figure, in such a manner that the precise time of Full Moon, as shewn by the Tables, may fall in the Axis of the Ecliptic at _F_, where the line of the Moon Path cuts it.