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The first edition of Robert Recorde's 'The Urinal of Physick' was
printed in London, at the sign of the Brazen Serpent, by Reynolde
Wolfe in 1547. It remained in print for over 130 years, the final
edition appearing in 1679 as 'The Judgment of Urines'. The work is
an early urological treatise, concerned with the practice of making
diagnoses by inspecting the patient's urine. Its pages are full of
sensible nursing practice in accordance with the mores of the time
and the teachings of classical authors such as Hippocrates, Galen,
Avicenna and others. Recorde was a physician at the courts of Henry
VIII, Edward VI and Mary I; he was also a very learned scholar and
mathematician, a teacher of outstanding ability and a skilful
textbook writer. He graduated B.A. from Oxford in 1531 and was
subsequently licensed by the university to practice medicine. He
received an M.D. degree from Cambridge in 1545, thus entitling him
to the honorifics of Doctor and Physician. 'The Urinal of Physick'
is dedicated to the Wardens and Company of the Surgeons of London,
and Recorde signs the dedication "At my house in London. 8 Novemb.
1547," so he was probably practicing medicine in the city by this
date. The book is written in English, rather than scholarly Latin.
The first edition of Robert Recorde's The Grounde of Artes was
printed in London, at the sign of the Brazen Serpent, by Reynold
Wolfe in 1543. The book teaches the rules and operations of
arithmetic and provides many simple examples. It was probably
intended as a textbook for the rapidly increasing number of
mercantile clerks, but also for mariners engaged in the newly
important science of celestial navigation. Recorde first shows how
to carry out numerical operations using pen and paper, which in his
time was a comparatively new and potentially confusing way of
performing calculations. He goes on to demonstrate arithmetic done
with counters, the centuries-old method of manipulating tokens on a
ruled board. Finally, he shows how to indicate numbers with the
hands, a system practised by merchants in market halls and on
quaysides since antiquity. In a preliminary discussion Recorde
defines the art of arithmetic and claims it to be the basis of all
learning, not only of geometry and astronomy but also of music,
physic, law, grammar, philosophy and even theology - hence the
title, The Grounde of Artes. The book is written in the form of a
dialogue between a master and a somewhat precocious scholar.
Recorde makes an effort to reproduce the speaking voice, within the
limits of his didactic purpose, in the question and answer
sessions. To the modern reader his prose is delightfully
colloquial, if always straight to the point and never unnecessarily
chatty. In places he injects statements of principle, for example
this warning of the dangers of rote learning: Scholar. Sir, I thank
you: but I think I might the better doe it, if you did shew me the
working of it. Master. Yea, but you must prove yourself to doe some
things without my aid, or else you shall not be able to doe any
more than you are taught: And that were rather to learn by wrote
(as they call it) than by reason.
The first edition of Robert Recorde's The Pathway to Knowledge was
printed in London, at the sign of the Brazen Serpent, by Reynold
Wolfe in 1551. This book is the earliest work on geometry in the
English language and was used as a standard textbook well into the
middle of the seventeenth century. Recorde's prose is delightfully
rhythmical and his poetical phrasing perhaps made learning less of
a chore than otherwise for his studious readers. That he well knew
this book, although modelled after Euclid, was breaking new ground
is evidenced by his statement in the preface to the theorems: 'For
nother is there anie matter more straunge in the english tongue,
than this whereof never booke was written before now, in that
tongue, and therefore oughte to delite all them, that desire to
understand straunge matters, as most men commonlie doo'. Recorde
encountered an unexpected difficulty when setting out to teach
Euclidean geometry to English readers. He found that the English
language did not (at that time) have a sufficiency of technical
terms. But rather than use longstanding Latin or Greek words, he
invented his own English equivalents. So for example, obtuse angles
are 'blunt corners', an equilateral triangle is a 'threelike' and a
square is a 'likeside'. Unfortunately, Recorde's terminology was
not taken up and did not survive the passage of time. Hence
schoolchildren in geometry lessons today have to wrestle with
difficult Latin words like tangent, instead of Recorde's much more
homely and easily understood 'touch line'. The mathematical text
itself is extremely lucid in both exposition and diagrams,
proceeding from a list of definitions through forty-six
constructions and seventy-seven theorems. At the start of the
definitions is the statement that 'Geometry teacheth the drawyng,
measuring and proporcion of figures' and history produced no finer
or more eloquent tutor in the subject than Robert Recorde.
The sole edition of Robert Recorde's The Whetstone of Witte was
printed at London by John Kingston in 1557. One of Recorde's
concerns in this book is to develop not only a means of
representing powers of numbers, but also a means of naming them.
Prior to the development of a numerical index notation, the names
given to the powers was of considerable importance. Hence in these
pages we find terminology which is now archaic, for instance the
strange word zenzizenzizenzike, the name for the eighth power of a
number. It is generally acknowledged that Recorde's treatise on
algebra, in the section entitled The arte of cossike numbers, is
the first to be printed in the English language. Although this work
owes much to the German mathematicians Christoff Rudolff and
Michael Stifel, it does have one well known claim to originality;
the first use of two parallel lines as the sign for equality
(because noe 2 thyngs, can be moare equalle). Recorde's invention
of the equals sign =, together with his adoption of the + sign
(which betokeneth more) and the minus sign - (which betokeneth
less) placed him at the very forefront of European practice. Like
most of Recorde's books, The Whetstone is written in the form of a
dialogue between a learned master and a clever, but rather
precocious, scholar. After being patiently encouraged through the
seconde parte of arithmetic (begun by the scholar in Recorde's
first book, The Grounde of Artes) followed by the extraction of
rootes, the scholar remarks 'I am moche bounde unto you ...
Trusting so to applie my studie, and emploie my knowlege, that it
shall never repente you of your curtesie in this behalfe'. To which
the master, about to start an exposition on the difficult and
strange cossike arte (algebra), replies 'Then marke well my words,
and you shall perceive, that I will use as moche plainesse, as I
maie, in teaching: And therefore will beginne with cossick numbers
first'. Here Recorde is again using terminology that is now
archaic. In his day algebra was called the cossic art, derived from
the Latin cosa, meaning 'thing'. The Whetstone also includes a
lengthy treatise on the arte of surde nombers, that is, on
irrational numbers.
The first edition of Robert Recorde's The Castle of Knowledge was
printed at London by Reginalde Wolfe in 1556. The work is a
treatise on the celestial sphere, written in the form of a dialogue
between a master and a scholar. It is an original and exhaustive
study intended to modernise Proclus and Sacrobosco. It deals
chiefly with Ptolemaic astronomy but also includes some
geographical information as understood in Recorde's time. In the
preface to the reader he extols the heavens as God's handiwork and
consequently meet for study. He also praises the rare wisdom and
practical knowledge that astronomy bestows, thereby soliciting
approval of both the old heaven and the new earth. Recorde's
writings reflect the strong traditions which he, in common with
most educated people of his time, found difficult to discard. These
Aristotelian and Ptolemaic traditions postulated that the
sub-lunary realm, the seat of the base elements, was subject to
change and corruption; in contrast, the heavenly or celestial realm
was necessarily pure, immutable and eternal. However, in this book
Recorde provides the English reading public with the first
significant reference to the heliocentric theories of Nicholas
Copernicus. In the guise of the master he briefly mentions the
theories to his scholar, explaining that according to Copernicus
the sun is at the centre of the world and not the earth, and that
the earth moves. This elicits the response from the scholar: 'I
desire not to heare such vaine phantasies, so farre against common
reason... and therefore lette it passe for ever, and a daye
longer'. At which the master reacts by admonishing him, telling him
that he was 'to yonge to be a good iudge in so greate a matter: it
passeth farre your learning... therefore you were best to condemne
no thinge that you do not well vnderstand'. The Castle of Knowledge
was reprinted in 1596, forty years after the first edition, by
which time it was already outdated by later works on Copernican
astronomy.
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