A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 272
... moon moves . ( 3 ) When the moon appears to us halved , the great circle which divides the dark and the bright portions of the moon is in the direction of our eye ( the effect of which is that at the time of dichotomy the centres of the ...
... moon moves . ( 3 ) When the moon appears to us halved , the great circle which divides the dark and the bright portions of the moon is in the direction of our eye ( the effect of which is that at the time of dichotomy the centres of the ...
Pagina 404
... moon con- tinued , the diameters of the sun , the moon , and the earth's shadow , the distance of the sun , and the dimensions of the sun , moon , and earth , Book VI on conjunctions and opposi- tions of the sun and moon , solar and ...
... moon con- tinued , the diameters of the sun , the moon , and the earth's shadow , the distance of the sun , and the dimensions of the sun , moon , and earth , Book VI on conjunctions and opposi- tions of the sun and moon , solar and ...
Pagina 513
... moon , and planets ( the sun 1 ° , the moon and Venus 12 ° , Mercury 8 ° , Mars 5 ° , Jupiter 5 ° , and Saturn 3 ° ) . The order of the orbits ( on the geocentric system ) is next discussed ; two orders are mentioned ; the first , that ...
... moon , and planets ( the sun 1 ° , the moon and Venus 12 ° , Mercury 8 ° , Mars 5 ° , Jupiter 5 ° , and Saturn 3 ° ) . The order of the orbits ( on the geocentric system ) is next discussed ; two orders are mentioned ; the first , that ...
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