"Johann Bolyai received through his father, Wolfgang, some of the inspiration to original research which the latter had received from Gauss. When only twenty-one he discovered, at about the same time as Lobachevsky, the principles of non-Euclidean geometry, and refers to them in a letter of November, 1823. They were committed to writing in 1825 and published in 1832. Gauss asserts in his correspondence with Schumacher (1831-32) that he had brought out a theory along the same lines as Lobachevsky and Bolyai, but the publication of their works seems to have put an end to his investigations. Schweikart was also an independent discoverer of the non-Euclidean geometry, as his recently recovered letters show, but he never published anything on the subject, his work on the theory of parallels (1807), like that of his nephew Taurinus (1825), showing no trace of the Lobachevsky-Bolyai idea."
Quote Details
Added by wikiquote-import-bot
Unverified quote
0 likes
Original Language: English
Available Languages (1)
Sources
p. 567.
https://en.wikiquote.org/wiki/Non-Euclidean_geometry
Revision History
No revisions have been submitted for this quote.
Categories
Non-Euclidean geometry
91 quotes on TrueQuotesView all quotes by Non-Euclidean geometry →
Related Quotes
"The creation of non-Euclidean geometry showed... that mathematics could no longer be regarded as a body of unquestion…"
"Edwin Abbott Abbott"
"In the field of non-Euclidean geometry, Riemann... began by calling attention to a distinction that seems obvious onc…"
"Unlike those of science, the conclusions of mathematics had always regarded as deduced from basic truths. ...the very…"
"What was the effect of non-Euclidean geometry on the future progress of mathematics? ...Mathematics passed from serfd…"
"Even the mathematicians of the late nineteenth century did not take non-Euclidean geometry seriously for physical app…"
"... went considerably beyond Sacherri in deducing propositions under the hypotheses of the acute and obtuse angles. T…"
"It is no wonder that no contradiction was found under the hypothesis of the acute angle, for... the geometry develope…"
"Non-Euclidean geometry was the most weighty intellectual creation of the nineteenth century, or, at worst, might have…"
"Euclid’s Elements"