Jan de Witt’s Elementa Curvarum Linearum, Liber Primus: Text, Translation, Introduction, and Commentary by Albert W. GrootendorstSpringer Science & Business Media, 16 jun 2000 - 298 pagina's The present book is a translation into English of Elernenta CU'f'Varurn Linearurn-Liber Prirnus, written in Latin, by the Dutch statesman and mathematician Jan de Witt (1625-1672). Together with its sequel, Ele- rnenta CU'f'Varurn Linearurn-Liber Secundus, it constitutes the first text- book on Analytic Geometry, based on the ideas of Descartes, as laid down in his Geornetrie of 1637. The first edition of de Witt's work appeared in 1659 and this translation is its first translation into English. For more details the reader is referred to the Introduction. Apart from this translation and this introduction, the present work con- tains an extensive summary, annotations to the translation, and two ap- pendices on the role of the conics in Greek mathematics. The translation has been made from the second edition, printed by the Blaeu Company in Amsterdam in 1684. In 1997 the translator published a translation into Dutch of the same work, likewise supplied with an introduction, a summary, notes, and two appendices. This edition appeared as a publication of the Stichting Mathe- matisch Centrum Amsterdam. The present translation, however, is a direct translation of the Latin text. The rest of this work is an English version of the introduction, the summary, the notes, and the appendices, based on the Dutch original. |
Inhoudsopgave
Introduction | |
Summary | 11 |
Latin text and translation | 33 |
Annotations to the translation | 213 |
Application of areas | 259 |
The conic sections in Apollonius | 271 |
References | 281 |
Index | 285 |
Overige edities - Alles bekijken
Jan de Witt’s Elementa Curvarum Linearum, Liber Primus: Text, Translation ... Albertus W. Grootendorst Gedeeltelijke weergave - 2012 |
Jan de Witt’s Elementa Curvarum Linearum, Liber Primus: Text, Translation ... Albertus W. Grootendorst Gedeeltelijke weergave - 2000 |
Jan de Witt’s Elementa Curvarum Linearum, Liber Primus: Text, Translation ... Albertus W. Grootendorst Geen voorbeeld beschikbaar - 2000 |
Veelvoorkomende woorden en zinsdelen
active line æquales æquidiftans Afymptotis angulo angulus Apollonius applicata arbitrary diameter arbitrary point asymptotes atque autem axes axis bifariam bisected bujus cafu centrum chords conic sections conjugate diameters construction contingere Corollarium Corollary crunt curva Curvarum curve defcribens diametro diametrum directricem directrix drawn ductâ eandem effe ELEM Elementa Ellipfi ellipse endpoint enim equal equation erit erunt fexti Figure fint Frans van Schooten ftatione funt hence hujus hyperbola id eft ideoque initial position interval ipfa ipfi Jan de Witt latus rectum line segment moving angle nempe ordinate-wise applied ordinatim parabola parallel parameter perpendicular plane point of intersection primi Proposition puncto punctum quadrato quadratum quæ quàm quinti quod quoque recta rectangle rectangle contained rectangulum right angles Schooten second diameter sides square straight line tangent tertii Theorem transl transverse diameter triangles utcunque verò vertex Witt's Wolfgang Pauli