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...hematics'' (1921) [https://books.google.com/books?id=8K00AQAAMAAJ Vol. 1], From Thales to Euclid, p. 187. ...Hippocrates, quoted by [[w:Simplicius of Cilicia|Simplicius]]... and taken from [[w:Eudemus of Rhodes|Eudemus]]'s lost ''History of Geometry''... ...

:<small>Translated from ''Arithmetike eisagoge'' (ca. 100 AD) by {{w|Martin Luther D'Ooge}}, with s ...tinue uniformly and the same in the universe and never depart even briefly from their existence; these real things would be things immaterial'''...<!--p.18 ...

** What he exclaimed as he ran naked from his bath, realizing that by measuring the displacement of [[water]] an obje *** This variant derives from an earlier source than Pappus: [http://penelope.uchicago.edu/Thayer/E/Roman ...

...home for many practitioners of Pythagoreanism and later for Neopythagorean philosophers. Early-Pythagorean sects espoused to a rigorous life of the intellect and s * If someone associates with a true Pythagorean, what will he will get from him, and in what quantity? I would say: statesmanship, geometry, astronomy, ...

...ic period|Hellenistic]] mathematics. The word "mathematics" itself derives from the ancient Greek μάθημα (mathema), meaning "subject of instruction". The u ...From Thales to Euclid|''A History of Greek Mathematics'' (1921) Vol. 1. ''From Thales to Euclid'']]<br />[[#Science Awakening (1954)|''Science Awakening'' ...

...w:Lives and Opinions of Eminent Philosophers|Lives and Opinions of Eminent Philosophers]]'', "Pythagoras", Sect. 4), and quoted in ''Cosmic Optimism: A Study of th ...w:Lives and Opinions of Eminent Philosophers|Lives and Opinions of Eminent Philosophers]]'', "Pythagoras", Sect. 6, in the translation of C. D. Yonge (1853) ...

'''{{w|Vacuum}}''' is space devoid of matter. The word stems from the Latin adjective ''vacuus'' for "vacant" or "void". An approximation to ...e.org/details/livesandopinions00dioguoft The Lives and Opinions of Eminent Philosophers]'', ''Democritus'', Vol. IX, 44 Tr. [[w:Charles Duke Yonge|Charles Duke Yon ...

...thematicians did not feel so encumbered and have required only consistency from their lists of axioms. ...alised. As a result, Euclidean geometry was thought to derive its validity from certain self-evident universal truths; it appeared as the only type of cons ...

...pping point reached through a gradual emergence of civilization, resulting from the efforts of mankind throughout the world, a merging of the manual with t ...v.1 - Robert Fludd, Integrae Naturae.jpg|thumb|<center>"Integrae Naturae" from<br />''Utriusque cosmi...'' (1624)<br /> [[Robert Fludd]]</center>]] ...

...etails/historyofchemist02thoruoft/page/n10/mode/1up?view=theater Vol. II.] From 1850 to 1910 (1910).<!--History of Chemistry (book)--> ===Volume 1. From the Earliest Times to the Middle of the Nineteenth Century (1909)=== ...

...ether was persistent. It took an [[Albert Einstein|Einstein]] to remove it from the Universe. ...Gradually, over the last twenty years, '''the vacuum has t * The difficult surface conditions met with when light passes from one medium to another, including such subjects as ellipticity, total reflec ...

...ure contained by one line such that all the straight lines falling upon it from one point among those lying within the figure are equal to one another;<br ...be added to equals, the wholes are equal.<br />3. If equals be subtracted from equals, the remainders are equal.<br />4. Things which coincide with one an ...

* Now this ratio of the single to the double arises, no doubt, from the [[wiktionary:ternary#Adjective|ternary]] number, since one added to two * The [[w:Pythagoreanism|Pythagorean]] mathematical concepts, abstracted from sense impressions of nature, were... projected into nature and considered t ...

...thematicians did not feel so encumbered and have required only consistency from their lists of axioms. ...It remains to be seen whether the initial conditi ...r|Fourier]] in that of trigonometric series, or [[w:Bhāskara II|Bhaskara]] from Lagrange in the region of [[w:Pell's equation|Fermat's equation]]. Professi ...