A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 179
... applied it [ in the form of a rectangle ] to the given straight line in the circle , it is deficient by a figure [ rectangle ] similar to the very figure which is applied ' . Here we have practically the phraseology of the ' application ...
... applied it [ in the form of a rectangle ] to the given straight line in the circle , it is deficient by a figure [ rectangle ] similar to the very figure which is applied ' . Here we have practically the phraseology of the ' application ...
Pagina 233
... applied to AB but exceeding by a parallelogram similar and similarly situated to D. ) Now consider the parallelogram AQ applied to AB but falling short by SR which is similar and similarly situated to D. Since ( AO ) = ( ER ) and ( OS ) ...
... applied to AB but exceeding by a parallelogram similar and similarly situated to D. ) Now consider the parallelogram AQ applied to AB but falling short by SR which is similar and similarly situated to D. Since ( AO ) = ( ER ) and ( OS ) ...
Pagina 490
... applied . The third is as follows : αx2 + ax = u2 , Bx2 + bx = v2 , and requires different treatment . It could have been transformed into a case of a double - equation of the first degree by substituting 1 / y for x , but Diophantus ...
... applied . The third is as follows : αx2 + ax = u2 , Bx2 + bx = v2 , and requires different treatment . It could have been transformed into a case of a double - equation of the first degree by substituting 1 / y for x , but Diophantus ...
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