Isaac Newton book Philosophiae Naturalis Principia Mathematica
Preface (8 May 1686)
Philosophiæ Naturalis Principia Mathematica (1687)
Source: History of Mathematics (1923) Vol.1, p. 90
Isaac Newton book Philosophiae Naturalis Principia Mathematica
Preface (8 May 1686)
Philosophiæ Naturalis Principia Mathematica (1687)
Proclus (412–485) Greek philosopher
Source: The Philosophical and Mathematical Commentaries of Proclus on the First Book of Euclid's Elements Vol. 1 (1788), Ch. IV.
John Stuart Mill (1806–1873) British philosopher and political economist
An Examination of Sir William Hamilton's Philosophy (1865) as quoted in 5th ed. (1878) p. 617. https://books.google.com/books?id=ojQNAQAAMAAJ&pg=PA617
Proclus (412–485) Greek philosopher
As quoted by Sir Thomas Little Heath, The Thirteen Books of Euclid's Elements (1908) Vol.1 https://books.google.com/books?id=UhgPAAAAIAAJ Introduction and Books I, II p.1, citing Proclus ed. Friedlein, p. 68, 6-20.
Isaac Newton book Philosophiae Naturalis Principia Mathematica
Preface (8 May 1686)
Philosophiae Naturalis Principia Mathematica (1687)
Context: The ancients considered mechanics in a twofold respect; as rational, which proceeds accurately by demonstration, and practical. To practical mechanics all the manual arts belong, from which mechanics took its name. But as artificers do not work with perfect accuracy, it comes to pass that mechanics is so distinguished from geometry, that what is perfectly accurate is called geometrical; what is less so is called mechanical. But the errors are not in the art, but in the artificers. He that works with less accuracy is an imperfect mechanic: and if any could work with perfect accuracy, he would be the most perfect mechanic of all; for the description of right lines and circles, upon which geometry is founded, belongs to mechanics. Geometry does not teach us to draw these lines, but requires them to be drawn; for it requires that the learner should first be taught to describe these accurately, before he enters upon geometry; then it shows how by these operations problems may be solved.
Jacques Ozanam (1640–1718) French mathematician
Source: A Mathematical Dictionary: Or; A Compendious Explication of All Mathematical Terms, 1702, p. 1, The Introduction; Lead paragraph
Proclus (412–485) Greek philosopher
Source: The Philosophical and Mathematical Commentaries of Proclus on the First Book of Euclid's Elements Vol. 1 (1788), Ch. IV.
“In geometry his greatest achievement was an accurate value of π.”
Aryabhata (476–550) Indian mathematician-astronomer
His rule is stated as: dn^2+(2a-d)n=2s, which implies the approximation 3.1416 which is correct to the last decimal place.
In, p. 245.
Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures