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date to be an error for 1387, since that [see _Somer_ in
Tyrwhitt's Glossary] was really the 'rote' used by Nicholas Lenne. In
either case, I think we may connect these sections with the previous
sections written in 1391[47]. Besides which, Chaucer so expressly intimates
his acquaintance with the subjects of these sections in the Canterbury
Tales[48], that we may the more readily admit them to be really his. There
is still less difficulty about admitting the first three sections (41-43)
on the 'umbrae,' because we find similar matter in the treatise of
Messahala, from which, as will appear, he derived so much. And hence we may
readily conclude that, in the second part, the first forty sections, found
in the oldest MSS., are certainly genuine, whilst sections 41-43, as well
as 44 and 45, have every claim to be considered genuine also. This need
not, however, force us to accept the remaining sections, since they may
easily have been added by another hand; a circumstance which is rendered
the more probable by the fact that sections 41_a_-42_b_ merely repeat 41-43
in a more clumsy form, and by the consideration that, if genuine, they
should have occupied their proper place immediately after sect. 43, instead
of being separated from the former set. As to sect. 46, I pronounce no
decided opinion; there is but little to be said either for or against it,
and it is of little consequence.

§ 21. GAP BETWEEN §§ 40 AND 41. But admitting the genuineness of sections
40-45, it at once becomes evident that there are two distinct gaps or
breaks in the continuity of the treatise; the first between 40 and 41; and
the second between 43 and 44. A little consideration will account for
these. Looking at the Canterbury Tales, we observe the very same
peculiarity; at certain points there are distinct breaks, and no mending
can link the various groups together in a satisfactory manner. This can be
accounted for in part by our knowledge of the fact that the poet died
before he had completed the proper linking-together of the tales which he
had more or less finished; but I think it also shews him to have been a
fragmentary worker. To suppose that, upon reaching Conclusion 40, he
suddenly turned to the sections upon the 'umbrae,' which are at once more
easy to explain, more suitable for a child, and illustrative of a different
and more practical use of the Astrolabe, seems to me natural enough; and
more probable than to suppose that anything is here lost. For, in fact, it
is to the very MSS. that contain sections 41-43 that we are indebted for
the last five words of sect. 40, so curiously omitted in the oldest and
best MSS.; and this is a direct argument against the supposition of any
matter having been here lost.

§ 22. GAP BETWEEN §§ 43 AND 44. The break between sections 43 and 44 may be
explained in a totally different manner. In this case, the break indicates
a _real_, not an accidental, gap. I suppose section 43 to have been really
the _last_ section of Part ii, and I refer sections 44 and 45 to the
_Fourth_ Part of the Treatise, and not to the _Second_ at all[49]. For if
we run through the contents of Parts Three and Four (p. 177), we observe
that they chiefly involve tables, with reference to one of which we find
the words 'upon which table ther folwith a _canon_,' &c. Now sections 44
and 45 exactly answer the description; they are alternative _canons_,
shewing how certain tables may be used. It happens that Conclusion 40 is
particularly dependent upon tables. To supply these was partly the object
of Part iv--'the whiche ferthe partie in special shal shewen a _table of
the verray moeving of the mone from houre to houre_, every day and in every
signe, after thyn almenak; _upon which table ther folwith a canon_,
suffisant to teche as wel the _maner of the wyrking of that same
conclusioun_, as to knowe in oure orizonte with which degree of the zodiac
that the mone ariseth in any latitude; and the arising of any planete after
his latitude fro the ecliptik lyne.' The opening words of the same
Conclusion are--'Knowe by thyn almenak the degree of the ecliptik of any
signe in which that the planete is rekned for to be:' (p. 221). This is
easily said; but I suppose that it was not so easy in olden times to know
off-hand the exact position of a planet. It must have been shewn by tables,
and these tables chiefly considered the 'mene mote,' or average motion of
the planets, and that only for periods of years. If you wanted the position
of a planet at a given hour on a given day, you had to work it out by
figures; the rule for which working was called a 'canon.' This very 'canon'
is precisely given at length in sect. 44; and sect. 45 is only another way
of doing the same thing, or, in other words, is an alternative canon. When
all this is fairly and sufficiently considered, we shall find good grounds
for supposing that these sections on the 'mene mote' are perfectly genuine,
and that they really belong to Part iv. of the Treatise.

I will only add, that the fact of sections 41_a_-42_b_ being thus placed
after a portion of Part iv. is one more indication that they are spurious.

§ 23. CONCLUSION 40. But it may be objected, as Mr. Brae has fairly
objected, that Conclusion 40 itself ought to belong to Part iv. So it ought
perhaps, if Chaucer had followed out his own plan. But it is clear from its
contents that the Prologue to the 'Astrolabie' was written _before_ the
commencement of the treatise itself, and not, as prefaces generally are,
afterwards. He was pleased with his son's progress. Little Lewis had asked
him if he might learn something about an astrolabe. The father at once sent
him a small astrolabe[50] by way of reward, constructed for the latitude of
Oxford, and having 45 circles of latitude on the flat disc (see Fig. 5)
instead of having 90 such circles, as the best instruments had[51]. This,
however, was a 'sufficient' astrolabe for the purpose. But he believes the
Latin treatises to be too hard for his son's use, and the Conclusions in
them to be too numerous. He therefore proposes to select some of the more
important Conclusions, and to turn them into English with such
modifications as would render them easier for a child to understand, He
then lays down a table of contents of his proposed five parts, throughout
which he employs the future tense, as 'the firste partie _shal_
reherse,'--'the second partie _shal_ teche,' &c. This use of the future
would not alone prove much, but taken in connexion with the context, it
becomes very suggestive. However, the most significant phrase is in the
last line of the Prologue, which speaks of 'other noteful thinges, yif god
wol vouche-sauf & his modur the mayde, mo than I behete,' i.e. other useful
things, _more than I now promise, if God and the Virgin vouchsafe it_. In
accordance with his habits of seldom finishing and of deviating from his
own plans at pleasure, we have but an imperfect result, not altogether
answerable to the table of contents

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