Remarks and tables on proper motion and comparisons of star positions. The volume includes the apparent diameter of the Sun, Moon and primary planets as viewed from the Earth; changes in the obliquity of the ecliptic, 1668-1822, and that observed by the Arab astronomers, 832-1463; unused forms for observational results; proper motion of Arcturus in right ascension from Tycho's observations; rules on aberration of light in calculating the place of a planet; longitude of Cambridge, New England, U.S.A., deduced from Mercury; the heliocentric velocity of planets; the augmentation of the Moon's diameter from its altitude; a star catalogue, 1765-1769; and stars not in the British Catalogue observed by Edmond Halley, 1721-1730.