Florian Cajori: Element

Florian Cajori was American mathematician. Explore interesting quotes on element.

Florian Cajori: 26 quotes0 likes

“Comparatively few of the propositions and proofs in the Elements are his [Euclid's] own discoveries. In fact, the proof of the "Theorem of Pythagoras" is the only one directly ascribed to him.”

Florian Cajori book A History of Mathematics

Source: A History of Mathematics (1893), p. 30, Reported in Moritz (1914)

“The Elements has been considered as offering models of scrupulously rigorous demonstrations. It is certainly true that in point of rigour it compares favourably with its modern rivals; but when examined in the light of strict mathematical logic, it has been pronounced by C. S. Peirce to be "riddled with fallacies." The results are correct only because the writer's experience keeps him on his guard.”

Florian Cajori book A History of Mathematics

Source: A History of Mathematics (1893), p. 37. Reported in Moritz (1914)

“It is a remarkable fact in the history of geometry, that the Elements of Euclid, written two thousand years ago, are still regarded by many as the best introduction to the mathematical sciences.”

Florian Cajori book A History of Mathematics

Source: A History of Mathematics (1893), p. 30 Reported in Memorabilia mathematica or, The philomath's quotation-book by Robert Edouard Moritz. Published 1914.