A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 1
... Greek contribution which it is most essential to know , for it was the Greeks who first made mathematics a science . As Kant once wrote , ' a light broke upon the first man who demonstrated the property of the isosceles triangle ...
... Greek contribution which it is most essential to know , for it was the Greeks who first made mathematics a science . As Kant once wrote , ' a light broke upon the first man who demonstrated the property of the isosceles triangle ...
Pagina 2
... Greek at school to read a Book or two at least of Euclid in the original Greek . The Greek genius for mathematics was simply one aspect of their genius for philosophy in general . Their philosophy and their mathematics both arose out of ...
... Greek at school to read a Book or two at least of Euclid in the original Greek . The Greek genius for mathematics was simply one aspect of their genius for philosophy in general . Their philosophy and their mathematics both arose out of ...
Pagina 530
... Greek astronomers we must bear in mind the admitted indebtedness of Greek to Chaldaean astronomy . New light has recently been thrown upon this question by systematic study of new material in the shape of Greek texts printed for the ...
... Greek astronomers we must bear in mind the admitted indebtedness of Greek to Chaldaean astronomy . New light has recently been thrown upon this question by systematic study of new material in the shape of Greek texts printed for the ...
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