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The Geometrical Work of Girard Desargues (Paperback, Softcover reprint of the original 1st ed. 1987)
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The Geometrical Work of Girard Desargues (Paperback, Softcover reprint of the original 1st ed. 1987)
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Our main purpose in this book is to present an English translation
of Desargues' Rough Draft of an Essay on the results of taking
plane sections of a cone (1639), the pamphlet with which the modem
study of projective geometry began. Despite its acknowledged
importance in the history of mathematics, the work has never been
translated before in its entirety, although short extracts have
appeared in several source books. The problems of making Desargues'
work accessible to modem mathematicians and historians of
mathematics have led us to provide a fairly elaborate introduction,
and to include translations of other relevant works. The
translation ofthe Rough Draft on Conics (as we shall call it) thus
appears in Chapter VI, the five preceding chapters forming an
introduction and the three following ones giving translations of
other works by Desargues. Chapter I briefly reviews parts of
ancient geometrical works available to Desargues which seem to be
relevant to his own work, namely theorems in Euclid's Elements, the
first four books of Apollonius' Conics and some remarks by Pappus
in his Collection. These Hellenistic works belong to the 'high'
mathematical tradition whose development has been the main theme of
all histories of mathematics. It is from these works that Desargues
took the theorems whose theory he was to reformulate in the Rough
Draft on Conics.
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