A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 36
... Pythagoras moved to Metapontium , where he died at a great age ( some say 75 , others 80 ) . The early philosophers who were nearly contemporary with Pythagoras recognize his wide learning . Heraclitus , who was hostile to him , admits ...
... Pythagoras moved to Metapontium , where he died at a great age ( some say 75 , others 80 ) . The early philosophers who were nearly contemporary with Pythagoras recognize his wide learning . Heraclitus , who was hostile to him , admits ...
Pagina 92
Sir Thomas Little Heath. V PYTHAGOREAN GEOMETRY ABOUT fifty years separated Thales and Pythagoras . With Pythagoras geometry became for the first time a scientific subject pursued for its own sake . ' Pythagoras ' , says the Proclus ...
Sir Thomas Little Heath. V PYTHAGOREAN GEOMETRY ABOUT fifty years separated Thales and Pythagoras . With Pythagoras geometry became for the first time a scientific subject pursued for its own sake . ' Pythagoras ' , says the Proclus ...
Pagina 95
... Pythagoras ' ( = Eucl . I. 47 ) . Tradition is unanimous in referring to Pythagoras the discovery of the theorem of the square on the hypotenuse ; but the documentary evidence is far from conclusive . Callimachus speaks of the ' figure ...
... Pythagoras ' ( = Eucl . I. 47 ) . Tradition is unanimous in referring to Pythagoras the discovery of the theorem of the square on the hypotenuse ; but the documentary evidence is far from conclusive . Callimachus speaks of the ' figure ...
Inhoudsopgave
INTRODUCTORY 157 | 5 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
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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