"waives the customary distinction between a circle, and ellipse, a parabola, and a hyperbola; these curves are simply conics, all alike. Although conics were studied by , Euclid, Archimedes and Apollonius, in the fourth and third centuries B.C., the earliest truly projective theorems were discovered by Pappus of Alexandria... and it was J. V. Poncelet... who first proved such theorems by purely projective reasoning."
Quote Details
Added by wikiquote-import-bot
Unverified quote
0 likes
Original Language: English
Available Languages (1)
Sources
, Projective Geometry (1987)
https://en.wikiquote.org/wiki/Pappus_of_Alexandria
Revision History
No revisions have been submitted for this quote.
Categories
Pappus of Alexandria
Pappus of Alexandria (c. 290 - c. 350 AD) was one of the last great Greek mathematicians of Antiquity, known for his Synagoge (Συναγωγή) or Collection (c. 340), and for Pappus's hexagon theorem in projective geometry. Nothing is known of his life, except (from his own writings) that he had a son named Hermodorus, and was a teacher in Alexandria. Collection, his best-known work, is a compendium of mathematics in eight volumes, the bulk of which survives. It covers a wide range of topics, includin
40 quotes on TrueQuotesView all quotes by Pappus of Alexandria →
Related Quotes
"Snellius, Vieta, Marinus, Ghetaldus, and Fermat, attempted, from the description of the τόωος άναλυομἐνος in the seve…"
"From the defective mode of notation among the Greeks... though there be much ingenuity in some of their methods, we n…"
"One of the most celebrated geometrical problems of antiquity was the trisection of an angle. It stands side by side w…"
"Now analysis is of two kinds, the one directed to searching for the truth and called theoretical, the other directed …"
"To give here an elaborate account of Pappus would be to create a false impression. His work is only the last convulsi…"
"Direct solutions by means of conics. Pappus gives two solutions of the trisection problem in which conics are applied…"
"The Porisms. Our only source of information about the nature and contents of the Porisms is Pappus. ...With Pappus's …"
"In the seventh book of his Collections, Pappus reports about a branch of study he calls analyomenos. We can render th…"
"Many elementary textbooks of geometry contain a few remarks about analysis, synthesis, and "assuming the problem as s…"
"The superior lines treated of by Pappus, and other ancient writers, were the conchoid, the cissoid, the spiral, and t…"