In an 1818 edition of Johnson's dictionary:
ASCII n.s. [it has no singular] [from the greek.] "Those people, who (at certain times of the year) have no shadow at noon: such are the inhabitants of the torrid zone; because they have the sun, twice a year, vertical to them.Johnson credits the source to Dict. Here's what he says in the preface about that:
Many words yet stand supported only by ..........the contracted Dict. for Dictionaries subjoined; of these I am not always certain that they are read in any book but the works of lexicographers. Of such I have omitted many, because I have never read them; and many I have inserted, because they may perhaps exist, though they have escaped my notice: they are, however, to be yet considered as resting only upon the credit of former dictionaries. Others, which I considered as useful, or know to be proper, though could not at present support them by authorities, I have suffered to stand upon my own attestation, claiming the same privilege with my predecessors, of being sometimes credited without proof.Looking up the word Ascians in the Oxford English Dictionary online (missing out on some of the Greek letters):
Ascians ('æ'I{nz), sb. pl. [f. med.L. Ascii ('æ'IaI), also used in Eng. (a. Gr. aÌ´skioi, f. aÌ priv. + skia´ shadow) + -an.] Inhabitants of the torrid zone, who twice a year have the sun directly overhead at noon, and then cast no shadows.Sources: reference librarian (Johnson's 1818 dictionary), on-line Oxford dictionary.1635 Carpenter Geog. Delin. i. x. 226 These men haue the Sunne twice euery yeere in their Zenith, and then they make no shaddowes at all, and therefore they are called Ascij, or without shaddowes. 1709 Mandey Syst. Math. (1729) 584 Ascii, are those which have no Meridian Shadow. 1847 Craig, Ascians.