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Jan de Witt’s Elementa Curvarum Linearum

Part of the Sources and Studies in the History of Mathematics and Physical Sciences Book Series

Editors: Grootendorst, Albert W.; Aarts, Jan; Bakker, Miente; Erné, Reinie

DOI: 10.1007/978-0-85729-142-4

ISBN: 978-0-85729-141-7

Publisher: Springer London - Springer Journals

Sep 22, 2010

1 - 5 of 5 Chapters

LitStream

Chapter 1Introduction

Grootendorst †, Albert W.; Aarts, Jan; Bakker, Miente; Erné, Reinie

Pages: 1 –29

[1.1 The second part of Jan de Witt´s Elementa Curvarum Linearum is the essence of the whole work. The first part was merely a necessary preparation to Liber Secundus, which is referred to in the correspondence and in Part I as the tractatus (or compositio) locorum planorum et solidorum.]
LitStream

Chapter 2Summary

Grootendorst †, Albert W.; Aarts, Jan; Bakker, Miente; Erné, Reinie

Pages: 31 –58

[In this summary the theorems and their corollaries (corollaria) are restated in our modern notation, without proofs.]
LitStream

Chapter 3Latin text and translation

Grootendorst †, Albert W.; Aarts, Jan; Bakker, Miente; Erné, Reinie

Pages: 59 –255

[IN every problem in which it is asked to investigate a locus, be this on a straight line or on a curve, one arrives at an equation determining an arbitrarily chosen point on the required locus [1.1] if one considers as known and determinate two unknown and indeterminate line segments enclosing a...
LitStream

Chapter 4Annotations to the translation

Grootendorst †, Albert W.; Aarts, Jan; Bakker, Miente; Erné, Reinie

Pages: 257 –292

[[1.1] What is meant here is the equation that determines the relation between the abscissa x and the ordinate yof an arbitrary point on the curve (the locus). Incidentally, this introduction reminds us of the opening sentence of the Géométrieof Descartes:Tous les Problesmes de Geometrie se...
LitStream

Chapter 5Appendix

Grootendorst †, Albert W.; Aarts, Jan; Bakker, Miente; Erné, Reinie

Pages: 293 –308

[The first mention of the problem that would later become known as Pappus’s problem can be found in the introduction to the Conica (I, 1) by Apollonius. There he writes that Euclid had insufficiently worked out the problem of the locus in the case of three or four lines and that the results of...

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