Greek Geometry from Thales to EuclidHodges, Figgis, & Company, 1889 - 237 Seiten |
Im Buch
Ergebnisse 1-5 von 17
Seite 121
... Tannery has shown ( Sur les Solutions du Problème de Délos par Archytas et par Eudoxe , Mémoires de la Société des Sciences physiques et naturelles de Bordeaux , 2e série , tome II . , p . 277 ) , be easily obtained by analytic geometry ...
... Tannery has shown ( Sur les Solutions du Problème de Délos par Archytas et par Eudoxe , Mémoires de la Société des Sciences physiques et naturelles de Bordeaux , 2e série , tome II . , p . 277 ) , be easily obtained by analytic geometry ...
Seite 122
... Tannery , loc . cit . , p . 279 . 49 See supra , p . 24 , and n . 26 ; see also Apollonii Conica , ed . Halleius , p . 9 , also pp . 31 , 33 , 35 ; and Pappi Collect . , ed . Hultsch , vol . II . , p . 674 ; and Proclus , ed . Friedlein ...
... Tannery , loc . cit . , p . 279 . 49 See supra , p . 24 , and n . 26 ; see also Apollonii Conica , ed . Halleius , p . 9 , also pp . 31 , 33 , 35 ; and Pappi Collect . , ed . Hultsch , vol . II . , p . 674 ; and Proclus , ed . Friedlein ...
Seite 141
... Tannery thinks that the term каμжúλαι ураμμaì has , in the text of Eratosthenes , a par- ticular signification , and that , compared with , e . g . the κаμτúλa róka of Homer , it suggests the idea of a curve symmetrical to an axis ...
... Tannery thinks that the term каμжúλαι ураμμaì has , in the text of Eratosthenes , a par- ticular signification , and that , compared with , e . g . the κаμτúλa róka of Homer , it suggests the idea of a curve symmetrical to an axis ...
Seite 152
George Johnston Allman. Tannery - relating to the period from Thales to Euclid , will enable the reader to form an opinion on the extent of the literature treated of by Dr. Heiberg . Mémoires de la Société des Sciences physiques et ...
George Johnston Allman. Tannery - relating to the period from Thales to Euclid , will enable the reader to form an opinion on the extent of the literature treated of by Dr. Heiberg . Mémoires de la Société des Sciences physiques et ...
Seite 185
... Tannery , extracts from mathematical works relating to the quadrature of the circle and the duplication of the cube , as also a compilation in relation to the Meteorologics of Aristotle . M. Tannery is of opinion , moreover , that the ...
... Tannery , extracts from mathematical works relating to the quadrature of the circle and the duplication of the cube , as also a compilation in relation to the Meteorologics of Aristotle . M. Tannery is of opinion , moreover , that the ...
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
ancient Apollonius Archim Archimedes Archytas Aristaeus Aristotle arithmetic Athens attributed Book Bretsch Bretschneider Cantor circle Cobet cone conic sections construction cube curve Cyzicus Delian Democritus diameter Diog Diogenes Laertius discovery doctrine of proportion dodecahedron Dublin Egyptians Elements equal Eratosthenes Euclid Eudemus Eudoxus Eukl Eutocius extreme and mean figure Friedlein further Geom Gesch given line gnomon Greek Hankel Heiberg Hippias of Elis Hippocrates of Chios History of Geometry Hultsch Iamblichus Ibid incommensurable inscribed Laert lune Math mathematics mean proportionals mean ratio Menaechmus method Montucla Pappus parabola passage Paul Tannery pentagon perpendicular philosophy plane Plato Plutarch probably problem Proclus proof pupil Pyth Pytha Pythagoras Pythagoreans quadrant quadratrix quadrature rectangle referred regular solids right angles right-angled triangles says segments semicircle sides Simplicius solution solved square Tannery Thales Theaetetus theorem tion δὲ καὶ μὲν περὶ τὰ τὴν τῆς τὸ τὸν τοῦ τῶν
Beliebte Passagen
Seite 10 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Seite 145 - ... proclaim it as an authoritative dogma, silencing or disparaging all objectors — that Grecian speculation aspires. To unmask not only positive falsehood, but even affirmation without evidence, exaggerated confidence in what was only doubtful, and show of knowledge without the reality — to look at a problem on all sides, and set forth all the difficulties attending its solution — to take account of deductions from the affirmative evidence, even in the case of conclusions accepted as true...
Seite 219 - The Elements of Geometrie of the most auncient Philosopher Euclide of Megara. Faithfully (now first) translated into the Englishe toung, by H. Billingsley, Citizen of London. Whereunto are annexed certaine Scholies, Annotations, and Inuentions, of the best Mathematiciens, both of time past, and in this our age.
Seite 40 - To divide a given straight line into two parts so that the rectangle contained by the whole and one part shall be equal to the square on the other part...
Seite 76 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side...
Seite 135 - ... the gnomon NOL is equal to C; therefore also AX is equal to C. Wherefore to the straight line AB there is applied the parallelogram AX equal to the given rectilineal figure C, exceeding by the parallelogram PO, which is similar to D, because PO is similar to EL.
Seite 126 - State, they would some day emerge into light. Yes, he said, there is a remarkable charm in them. But I do not clearly understand the change in the order. First you began with a geometry of plane surfaces ? Yes, I said.
Seite 125 - ... solids in revolution, instead of taking solids in themselves; whereas after the second dimension the third, which is concerned with cubes and dimensions of depth, ought to have followed.