A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 20
... expression being γ ' μέρος τρίτον μέρος , ' third part ' ( y ' was really short for Tpíros and was used for the ... expressed in various ways . It consists of a certain multiple of a par- = ticular aliquot part ( i.e. 1 divided by ...
... expression being γ ' μέρος τρίτον μέρος , ' third part ' ( y ' was really short for Tpíros and was used for the ... expressed in various ways . It consists of a certain multiple of a par- = ticular aliquot part ( i.e. 1 divided by ...
Pagina 147
... expressed in terms of 120th parts of the diameter . If 1o is one such part , the Table gives 1o 2 ′ 50 ′′ as the chord subtended by an angle of 1 ° . The perimeter of the inscribed regular polygon with 360 sides is 360 times this figure ...
... expressed in terms of 120th parts of the diameter . If 1o is one such part , the Table gives 1o 2 ′ 50 ′′ as the chord subtended by an angle of 1 ° . The perimeter of the inscribed regular polygon with 360 sides is 360 times this figure ...
Pagina 479
... expression μovádwv od ↑ i ́d ' in the sense of 74 units minus . In Diophantus the sign is generally resolved into λείψει , the dative of λειψις , but in other places the sign is used instead of parts of the verb deinew , namely Aináv ...
... expression μovádwv od ↑ i ́d ' in the sense of 74 units minus . In Diophantus the sign is generally resolved into λείψει , the dative of λειψις , but in other places the sign is used instead of parts of the verb deinew , namely Aináv ...
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