The Geometrical Work of Girard DesarguesSpringer New York, 1987 - 237 páginas 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. |
Otras ediciones - Ver todo
The Geometrical Work of Girard Desargues Judith V Field,Jeremy Gray No hay ninguna vista previa disponible - 1986 |
The Geometrical Work of Girard Desargues Judith V. Field,Jeremy Gray No hay ninguna vista previa disponible - 2011 |
Términos y frases comunes
Abraham Bosse angle Apollonius auec bisects butt circle cone conic sections conjugate lines cross-ratio curves Desargues diameter double mean knots Draft on Conics draw ellipse equal rectangle Euclid's Elements extreme knots extreme limbs figure finite fixed point font four points geometry Girard Desargues hyperbola infinite distance infinity intersection l'aparence l'œil la Hire linear perspective mathematical mean limbs méme Menelaus Notice ordinance pair of extreme pairs of knots pairs of points pairs of shoots parabola parallel perpendicular picture pieds plane of section point at infinity points F points in involution porism projective projective geometry proposition ratio compounded rectangle FB related rectangle rencontre roll Rough Draft side Simon Stevin straight line stump sundials tableau tangent Taton theorem three pairs translation transversal treatise tree triangle trunk vertex