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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 ...

...he testimony and have set forth what seem to be the reasonable conclusions from the evidence...<!--p. iv--> .... sets of numerals, and the [[w:Ancient Rome|Roman]] symbols... changed... from century to century.<!--p. 1--> ...

...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'' ...

...goreanism, from the 6th until the 5th century BC, and late-Pythagoreanism, from the 4th until the 3rd century BC. The {{w|Spartan}} colony of {{w|Taranto}} * If someone associates with a true Pythagorean, what will he will get from him, and in what quantity? I would say: statesmanship, geometry, astronomy, ...

.... was due in no small measure to the introduction of Egyptian papyrus into Greece. This event occurred about 650 B.C., and the invention of printing in the 1 ...e:w:Johannes Tropfke|Tropfke]] is an example of the tendency to break away from the mere chronological recital of facts. ...

...s until all the terms on both sides are positive. Then we must take equals from equals until one term is left on each side. ...les, produces a square number. I shall prove this, and shall show also how from a given side to find its polygon and conversely. Some auxiliary proposition ...

...tions can be taken in other ways than by direct attack, that when repulsed from a direct assault it is well to reconnoitre and occupy the surrounding groun ...s ''impossible''. He thus showed '''by actual proof that which keen minded mathematicians had long suspected; namely, that the great army of circle-squarers have, fo ...

...ted or understood. The reason why Diophantos was the earliest of the Greek mathematicians to be forgotten is also probably the reason why he was the last to be re-di ...m|Porisms]]'' form the part the loss of which is most to be regretted, for from the references to them it is clear that they contained propositions in the ...

** '''In anger we should refrain both from speech and action.''' ...anslated by Robert Drew Hicks (1925); also in ''The Demon and the Quantum: From the Pythagorean Mystics to Maxwell's Demon'' (2007) by Robert J. Scully, Ma ...

...o raise on high a vault of a round arch, must constantly draw a line round from its exact centre, and in accordance with the sure standard it gives discove ...nding the shape of cables. ...If the actual shape of the arch is different from funicular shape, the bending moment at any section of an arch is proportion ...

...thematicians did not feel so encumbered and have required only consistency from their lists of axioms. ...is lifework as much (or more) new geometry as was created by all the Greek mathematicians in the two or three centuries of their greatest activity.<!--p.15--> ...

...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>]] ...

...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 ...mes be inclined to overemphasize the smoothness of the curve; professional mathematicians, mindful of the dominant part played in geometry by the singularities of cu ...

...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 ...

...e courts in {{w|Kassel}} and {{w|Prague}}, was a Swiss {{w|clockmaker}}, [[Mathematicians|mathematician]], and [[Authors|writer]]. Bürgi has been credited, independe ...Jobst Bürgi... from Switzerland, and [[Johannes Kepler|Johann Kepler]]... from Germany.<!--pp. 302-303, 1991--> ...

* Now this ratio of the single to the double arises, no doubt, from the [[wiktionary:ternary#Adjective|ternary]] number, since one added to two * What English mathematicians were most intrigued by and, at times, embarrassed about was the explanation ...