A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 38
... Pythagorean ) defined the unit as ' limiting quan- tity ' ( πeρaívovoа поσóтηs ) or , as we might say , ' limit of fewness ' , while some Pythagoreans called it ' the confine between number and parts ' , i.e. that which separates ...
... Pythagorean ) defined the unit as ' limiting quan- tity ' ( πeρaívovoа поσóтηs ) or , as we might say , ' limit of fewness ' , while some Pythagoreans called it ' the confine between number and parts ' , i.e. that which separates ...
Pagina 94
... Pythagoreans and gave their proof of it . This proof , as elegant as that of Euclid , depends , equally with his , on the properties of parallels , which must therefore have been known to the authors of it . It is as follows : D B A E ...
... Pythagoreans and gave their proof of it . This proof , as elegant as that of Euclid , depends , equally with his , on the properties of parallels , which must therefore have been known to the authors of it . It is as follows : D B A E ...
Pagina 107
... Pythagoreans , provided that the con- struction of the regular pentagon was known to them ; the method of formation of the solids agrees well with the known fact that the Pythagoreans put angles of certain regular figures together round ...
... Pythagoreans , provided that the con- struction of the regular pentagon was known to them ; the method of formation of the solids agrees well with the known fact that the Pythagoreans put angles of certain regular figures together round ...
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