A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 158
... Menaechmus . Menaechmus , a brother of the Dinostratus who used the quadratrix to square the circle , was a pupil of Eudoxus . It is said that Alexander asked him to indicate a short cut to geometry , and he replied , ' O King , for ...
... Menaechmus . Menaechmus , a brother of the Dinostratus who used the quadratrix to square the circle , was a pupil of Eudoxus . It is said that Alexander asked him to indicate a short cut to geometry , and he replied , ' O King , for ...
Pagina 161
... Menaechmus , for the arrangement in the figure of the two given straight lines and the two means between them is exactly the same as in Menaechmus ' figure ; they are arranged in straight lines mutually at right angles and in descending ...
... Menaechmus , for the arrangement in the figure of the two given straight lines and the two means between them is exactly the same as in Menaechmus ' figure ; they are arranged in straight lines mutually at right angles and in descending ...
Pagina 349
... Menaechmus is a rect- angular hyperbola , and it is remarkable that the property used is the fundamental asymptote - property . This suggests a deeper study of the curve than would be necessary in the case of the parabola , and it is ...
... Menaechmus is a rect- angular hyperbola , and it is remarkable that the property used is the fundamental asymptote - property . This suggests a deeper study of the curve than would be necessary in the case of the parabola , and it is ...
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