A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 232
... similar to a given parallelogram ' ; and Proposition 27 proves the Siopioμós , or determination of the condition of possibility of solution , in the case of deficiency ( 28 ) : ' The given rectilineal figure must not be greater than the ...
... similar to a given parallelogram ' ; and Proposition 27 proves the Siopioμós , or determination of the condition of possibility of solution , in the case of deficiency ( 28 ) : ' The given rectilineal figure must not be greater than the ...
Pagina 233
... similar and similarly situated to EF ( 24 ) and therefore to D ( 21 ) . ( In the same way , if T had been on HA produced and TR had met GB produced , we should have had a parallelogram applied to AB but exceeding by a parallelogram similar ...
... similar and similarly situated to EF ( 24 ) and therefore to D ( 21 ) . ( In the same way , if T had been on HA produced and TR had met GB produced , we should have had a parallelogram applied to AB but exceeding by a parallelogram similar ...
Pagina 239
... similar solid numbers have the same ratio as a cube has to a cube ( 27 ) . Book IX begins with some simple propositions such as the following : the product of two similar plane numbers is a square ( 1 ) , and , if the product of two ...
... similar solid numbers have the same ratio as a cube has to a cube ( 27 ) . Book IX begins with some simple propositions such as the following : the product of two similar plane numbers is a square ( 1 ) , and , if the product of two ...
Inhoudsopgave
Classification of mathematical subjects | 5 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
B Addition and subtraction | 28 |
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algebra Apollonius Archimedes Archytas Aristotle arithmetic assumed astronomy axis base bisected Book centre of gravity chord circle circumference circumscribed cone conics construction contained cube curve cylinder definition Democritus diameter Diophantus divided draw drawn earth Elements equal equation equilateral equivalent Eratosthenes Eucl Euclid Eudemus Eudoxus Eutocius figure geometry given ratio given straight line gives gnomon Greek height Heron Hipparchus Hippocrates hyperbola inscribed irrational isosceles lemmas length loci magnitudes mathematics mean proportionals method of exhaustion moon multiple namely Nicomachus Pappus parabola parallel parallelogram pentagon perpendicular plane Plato polygon Porisms problem Proclus produced proof Prop propositions proved Ptolemy pyramid Pythagoras Pythagoreans radius rectangle respectively right angles right-angled triangle says segment semicircle sides similar solution solved sphere square number surface tangent Thales Theaetetus Theon Theon of Alexandria theorem theory tion treatise volume