PART I. § 5, l. 5. _the remenant_, &c. i.e. the rest of this line (drawn, as I said,) from the foresaid cross to the border. This appears awkward, and we should have expected 'fro the forseide _centre_,' as Mr. Brae suggests; but there is no authority for making the alteration. As the reading stands, we must put no comma after 'this lyne,' but read right on without a pause. 8. _principals._ It it not unusual to find adjectives of French origin retaining _s_ in the plural; only they commonly _follow_ their nouns when thus spelt. Cf. _lettres capitals_, i. 16. 8; _sterres fixes_, i. 21. 4. On the other hand, we find _principal cercles_, i. 17. 34. § 7. 4. _noumbres of augrim_; Arabic numerals. The degrees of the border are said to contain 4 minutes _of time_, whilst the degrees of the signs are divided into minutes and seconds of angular measurement, the degrees in each case being the same. There is no confusion in practice between these, because the former are used in measuring time, the latter in measuring angles. § 8. 9. _Alkabucius_; i.e. (says Warton, Hist. E. P. ii. 357, ed. 1871) Abdilazi Alchabitius, whose Introductiorium ad scientiam judicialem astronomæ was printed in 1473, and afterwards. Mr. Brae quotes the very passage to which Chaucer refers, which I here quote from the edition of 1482, as described in my note to l. 119 of The Compleint of Mars (see vol. i. p. 500); viz. 'Unumquodque istorum signorum diuiditur in 30 partes equales, que gradus vocantur. Et gradus diuiditur in 60 minuta; et minutum in 60 secunda; et secundum in 60 tertia. Similiterque sequuntur quarta, scilicet et quinta, ascendendo usque ad infinita'; Alchabitii Differentia Prima. These minute subdivisions were never used; it was a mere affectation of accuracy, the like of which was never attained. § 10. 5. _in Arabiens_, amongst the Arabians. But he goes on to speak only of the Roman names of the months. Yet I may observe that in MS. Ii. 3. 3, at fol. 97, the Arabian, Syrian, and Egyptian names of the months are given as well as the Roman. § 16. 12. _& every minut 60 secoundes_; i.e. every minute contains 60 seconds. The sentence, in fact, merely comes to this. 'Every degree of the border contains four minutes (_of time_), and every minute (of time) contains sixty seconds (of time).' This is consistent and intelligible. Mr. Brae proposes to read '_four_ seconds'; this would mean that 'every degree of the border contains four minutes (of time), and every minute (_of the border_) contains four seconds (of time).' Both statements are true; but, in the latter case, Chaucer should have repeated the words 'of the bordure.' However this may be, the proposed emendation lacks authority, although the reprint of Speght changed 'lx' into 'fourtie,' which comes near to 'four.' But the reprint of Speght is of no value at all. See Mr. Brae's preface, p. 4, for the defence of his proposed emendation, which is entirely needless.