A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
Vanuit het boek
Resultaten 1-3 van 53
Pagina 157
... Eudoxus . Eudoxus ' solution is unfortunately lost . The epigram of Eratosthenes says that Eudoxus used a species of curve ( κaμπúdov eidos ) . Eutocius had evidently seen some version of the solution which was not correct ; for , he ...
... Eudoxus . Eudoxus ' solution is unfortunately lost . The epigram of Eratosthenes says that Eudoxus used a species of curve ( κaμπúdov eidos ) . Eutocius had evidently seen some version of the solution which was not correct ; for , he ...
Pagina 190
... Eudoxus ' own theory of proportion , which applies to numbers , geo- metrical magnitudes of all sorts , times , & c . Again , Proclus says that Eudoxus ' extended ' or ' in- creased the number of the propositions about " the section ...
... Eudoxus ' own theory of proportion , which applies to numbers , geo- metrical magnitudes of all sorts , times , & c . Again , Proclus says that Eudoxus ' extended ' or ' in- creased the number of the propositions about " the section ...
Pagina 193
... Eudoxus , for he says that Eudoxus was the first to give the scientific proof of the two theorems discovered by Democritus about the volume of a pyramid and a cone , and he adds that these propositions and two others ( that circles are ...
... Eudoxus , for he says that Eudoxus was the first to give the scientific proof of the two theorems discovered by Democritus about the volume of a pyramid and a cone , and he adds that these propositions and two others ( that circles are ...
Inhoudsopgave
INTRODUCTORY 157 | 5 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
Copyright | |
26 andere gedeelten niet getoond
Overige edities - Alles bekijken
Veelvoorkomende woorden en zinsdelen
algebra Apollonius Archimedes Archytas arithmetic assumes astronomy axis base bisects Book centre of gravity chord circle circumscribed commentary cone conics contained cube curve cylinder definition diameter Diophantus divided edition equal equation equivalent Eratosthenes Eucl Euclid Eudemus Eudoxus Eutocius figure geometry given ratio given straight line gives Greek height Heron Hipparchus hyperbola inscribed lemmas length loci mathematics mean proportionals method method of exhaustion moon multiplied namely Pappus parabola parallel parallelogram pentagon perpendicular plane Plato polygonal number Porisms Posidonius problem Proclus proof Prop propositions proved Ptolemy pyramid Pythagoras Pythagoreans quadratic quadratic equations radius rectangle respectively right angles right-angled triangle segment semicircle sexagesimal sides similar solid solution solved sphere square number surface tangent Theon Theon of Alexandria theorem theory tion translation treatise triangular number volume whence