The Thirteen Books of Euclid's Elements, Volume 2Cambridge University Press, 12 feb 2015 - 444 pagina's After studying both classics and mathematics at the University of Cambridge, Sir Thomas Little Heath (1861-1940) used his time away from his job as a civil servant to publish many works on the subject of ancient mathematics, both popular and academic. First published in 1926 as the second edition of a 1908 original, this book contains the second volume of his three-volume English translation of the thirteen books of Euclid's Elements, covering Books Three to Nine. This detailed text will be of value to anyone with an interest in Greek geometry and the history of mathematics. |
Inhoudsopgave
DEFINITIONS | ii |
DEFINITIONS | 78 |
INTRODUCTORY NOTE II 2 | 112 |
INTRODUCTORY NOTE | 187 |
DEFINITIONS | 277 |
PROPOSITIONS | 296 |
BOOK VIII | 345 |
Book IX | 384 |
427 | |
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ABCD angle ABC angle BAC antecedent Aristotle base bisected centre circle ABC circumference construction continued proportion corresponding sides cube number definition diameter drawn enunciation equal angles equiangular equimultiples Euclid Eutocius ex aequali four magnitudes geometrical geometrical progression given circle given straight line greater ratio greatest common measure Heiberg hypothesis Iamblichus joined less mean proportional numbers measures the number multiple multitude Nicomachus odd number parallel parallelogram pentagon polygon Porism prime number Proclus Prop proper fraction proposition PROPOSITION 13 proved rect rectangle rectangle contained rectilineal figure reductio ad absurdum remaining angle right angles segment semicircle similar and similarly similar plane numbers Simson solid numbers square number subtracted taken Theon Theon of Smyrna theorem touches the circle triangle ABC unit VIII δὲ καὶ πρὸς τὸ τοῦ