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 astrolabe had been
procured ready-made. The second part of the treatise, or 'Operatio
Astrolabii,' begins with the words 'Nomina instrumentorum sunt hec.' This
is evidently one of the sources from which Chaucer drew largely[55].
Chaucer's Part i. is almost wholly taken from this, but he has expanded it
in several places, with the evident intention of making it more easy to
understand. In Part ii. he has taken from it, with more or less exactness,
sections 1-3, 5-8, 10, 11, 13-18, 20, 21, 24, 25, 27-31, 33-37, 41 and 42;
whilst sections 4, 9, 12, 19, 22, 23, 26, 32, 38-40 and 43 do not appear in
it. In other words, Messahala's treatise accounts for thirty-one
conclusions out of forty-three, or about _two-thirds_ of the whole. In some
places, Chaucer has translated almost word for word, so as to leave no
doubt as to his authority. Besides which, I have already remarked that
Chaucer's version is _directly_ connected with Messahala by the quotations
from the latter which appear in MS. E.; see description of this MS. at p.
lix. If it be inquired, whence did Chaucer derive the remaining third of
his Second Part, I think it very likely that some of it may be found
amongst the varied and voluminous contents of such a MS. as Ii 3. 3, which
is a sort of general compendium of astronomical and astrological knowledge.
The complete solution of this question I leave to some one with more
leisure than myself, being satisfied that to have found the original of
Part i. and two-thirds of Part ii. is to have made a good start. It must
not be omitted, that the MSS. of Messahala are not all alike; that some
copies have propositions which are not in others; and that the order of the
Conclusions is not invariable. The chief noteworthy difference between
Chaucer's version and the Latin original is in the order of the
Conclusions; it is clear that Chaucer not only took what he liked, but
rearranged his materials after his own fashion.

§ 26. VARIOUS EDITIONS. About the early printed editions of the Astrolabe,
I have not much to say. The Editio Princeps of 1532 was clearly derived
from some MS. of the second class, and, what between the errors of the
scribes and printers, absurdities abound. After a careful examination of
the old editions, I came to the conclusion that the less I consulted them
the better, and have therefore rather avoided them than sought their
assistance. All the editions not only give the conclusions in a wrong
order, but (like the MSS. of the second class) absurdly repeat Conclusion
I. of Part ii., and reckon the repetition of it as Conclusion III. MSS. of
the first class are free from this defect, and may thus be easily known.
The only edition worth consulting is that by Mr. A. E. Brae, published
quite recently, in 1870. Mr. Brae made much use of MS. I., besides which he
consulted the Printed Editions, and MSS. H. and L. See the descriptions of
these MSS. above. From this edition I have taken many hints, and I wish to
express, very thankfully, my obligations to it. Mr. Brae has brought to
bear upon his work much skill and knowledge, and has investigated many
points with much patience, minuteness, and critical ability. But I cannot
but perceive that he has often expended his labour upon very inferior
materials, and has been sometimes misled by the badness of those MSS. to
which alone he had access[56].

Besides his print of Chaucer's Astrolabe, Mr. Brae has reprinted some
curious and interesting critical notes of his own, and has added some
essays on Chaucer's 'prime,' on 'the Carrenare,' and 'shippes opposteres.'
To all that he has done I am much indebted.

§ 27. WORKS ON THE SUBJECT. The works upon, and descriptions of, the
astrolabe, are numerous. I have had neither time nor inclination to make
researches into the subject; for which reason I here note the names of a
few books which may be examined by the curious reader.

In his Universal Lexicon, Zedler explains that astrolabes are of two kinds,
'universal' and 'particular.' He speaks of the astrolabes (1) of Gemma
Frisius; see Petri Apiani Cosmographia, per Gemmam Phrysium restituta; (2)
of Johan de Rojas, a Spaniard, A.D. 1550; (3) of De la Hire the elder,
professor of mathematics at Paris, A.D. 1702; (4) of Johannes Stoflerinus
(or Stöffler), A.D. 1510. The last of these varied from the others in
adopting a different and more convenient system of projection, viz. that
upon the plane of the equator, or one parallel to it, the eye being in the
antarctic pole, and the arctic pole being made the centre of the
instrument. This projection is the same as that which was used by Ptolemy,
and it is adopted in the diagrams which accompany Chaucer's treatise in
some of the MSS. It should be observed here that the term 'astrolabe' alone
is vague; it was originally a general name for any circular instrument used
for observation of the stars; but in the sixteenth and seventeenth
centuries it was restricted to the particular kind called the 'Astrolabe
Planisphere,' or astrolabe _on a flat surface_, in which sense alone the
word is used throughout this volume. See the English Cyclopaedia, Arts and
Sciences, s.v. _Astrolabe_.

The simplest work is that by Stöffler or Stoflerinus, as he calls himself;
see also Gemma Frisius, Metius, Clavius Bambergensis, the Cursus
Mathematicus of Dechales, vol. iv. p. 161, Delambre's History of Astronomy,
and other works. The plates in Metius are most exquisitely engraved, and on
a large scale, and give a better representation of the instrument than any
others that I have seen.

One of the MSS., viz. MS. E., refers to an astrolabe belonging to Merton
College, Oxford[57]. There is a very nice one, made of brass, and by a
Dutch engraver, in the library of King's College, Cambridge. It has several
discs or plates, or, as Chaucer calls them, 'tables[58].' Of this
instrument the same library contains a written description, with some
account of the problems it will solve, and an investigation of its probable
date, by H. Godfray, Esq., of St. John's College.

There is a book entitled 'A verie briefe and most plaine description of Mr.
Blagrave his Astrolabe,' &c., by Mr. Blundevill; London, printed by William
Stansby. But it turns out to be of little practical assistance, because
Blagrave's astrolabe was on a different principle.

§ 28. DESCRIPTION OF THE ASTROLABE PLANISPHERE. There is not, however, much
need of reference to books to understand what the astrolabe used by Chaucer
was like. The instrument may be readily understood from a brief
description, and from the Plates in this volume.

The most important part of the 'astrolabe planisphere' consisted of a
somewhat heavy circular plate of metal from four to seven inches in
diameter, which could be suspended from the thumb by a ring (i. 1), working
with such freedom as would allow the instrument to assume a perfectly
perpendicular position (i. 2). One side of the plate was perfectly flat,
and was called the _back_. This is represented in Fig. 1. On it

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