The Thirteen Books of Euclid's Elements, Volume 2
Volume 2 of 3-volume set containing complete English text of all 13 books of the Elements plus critical analysis of each definition, postulate, and proposition. Covers textual and linguistic matters; mathematical analyses of Euclid's ideas; classical, medieval, Renaissance and modern commentators; refutations, supports, extrapolations, reinterpretations and historical notes. Vol. 2 includes Books III-IX: Circles, relationships, rectilineal figures.
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ABCD angle ABC angle BAD antecedent Archimedes Aristotle base bisected centre circle ABC circumference construction continued proportion corresponding sides cube number deﬁned deﬁnition diameter drawn enunciation equal angles equiangular equimultiples Euclid Euclid’s proof Eutocius even-times ex aequali ﬁnd ﬁrst four magnitudes geometrical geometrical progression given circle given straight line greater ratio greatest common measure Heiberg hypothesis Iamblichus inscribed joined less mean proportional numbers measures the number multiple multitude Nicomachus odd number parallel parallelogram pentagon polygon Porism prime number Proclus Prop proposition proved rect rectangle rectangle contained rectilineal ﬁgure remaining angle right angles segment semicircle similar and similarly similar plane numbers similar triangles Simson solid numbers square number subtracted taken Theon Theon of Smyrna theorem theory touches the circle triangle ABC unit