A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 355
... Apollonius generates a ( double ) cone , in general oblique or ( as Apollonius calls it ) ' scalene ' , by taking a circle and any point outside its plane and then making an endless straight line move in such a way that , while always ...
... Apollonius generates a ( double ) cone , in general oblique or ( as Apollonius calls it ) ' scalene ' , by taking a circle and any point outside its plane and then making an endless straight line move in such a way that , while always ...
Pagina 376
... Apollonius is said to have discussed the spherical form of mirror among others . Anthemius of Tralles , the architect ( died about A. D. 534 ) , in a work on burning - mirrors of which we possess a fragment , deals with elliptic and ...
... Apollonius is said to have discussed the spherical form of mirror among others . Anthemius of Tralles , the architect ( died about A. D. 534 ) , in a work on burning - mirrors of which we possess a fragment , deals with elliptic and ...
Pagina 540
... Apollonius and Carpus 145–6 , approximations to 146-7 . Cissoid of Diocles 168-9 . Clavius 223 . Cleomedes , De motu circulari 510- 12 : ' paradoxical ' case of eclipse 511-12 . Cleonides 268 . Cochlias ( cylindrical helix ) 146 , 376 ...
... Apollonius and Carpus 145–6 , approximations to 146-7 . Cissoid of Diocles 168-9 . Clavius 223 . Cleomedes , De motu circulari 510- 12 : ' paradoxical ' case of eclipse 511-12 . Cleonides 268 . Cochlias ( cylindrical helix ) 146 , 376 ...
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