To find the Semi-diameters of the Sun and Moon as seen from the Earth at the above-mentioned time.

Eighth and Ninth Elements.

365. Precept. Enter the XVth Table with the Sun’s Anomaly, and thereby take out his Semi-diameter; and in the same manner take out the Moon’s Semi-diameter by her Anomaly. The former of which for the above time will be found to be 16ʹ 6ʺ; the latter 14ʹ 58ʺ.

To find the Semi-diameter of the Penumbra.

Tenth Element.

366. Precept. Add the Sun’s semi-diameter to the Moon’s, and their Sum will be the Semi-diameter of the Penumbra; namely, at the above time 31ʹ 4ʺ.

[Pl. XII.]

366. Having found the proper Elements or Requisites for the Sun’s Eclipse April 1, 1764, and intending to project this Eclipse Geometrically, we shall now collect them under the eye, that they may be the more readily found as they are wanted in order for the Projection.

The proper Elements collected.

DHM
367. I. The true time of Conj. or New Moon April11025
°ʹʺ
II. The Earth’s Semi-Disc, which is equal to the Moon’s Horizontal Parallax 55ʹ 7ʺ diminished by the Sun’s Horizontal Parallax which is always 10ʺ05457
III. The Sun’s distance from the nearest Solstice, viz. ♋77510
IV. The Sun’s Declination, North44854
V. The Angle of the Moon’s vis. path with the Eclipt.5380
VI. The Moon’s true Latitude, North Ascending 409
VII. The Moon’s true Horary Motion from the Sun 2750
VIII. The Sun’s Semi-diameter 166
IX. The Moon’s Semi-diameter 1458
X. The Semi-diameter of the Penumbra 314