A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 64
... particular ratio ( greater than 1 ) that it bears to it ; and the reciprocals of these ratios give five corresponding different ways in which one number may be less than another . 1. The greater number may be a multiple ( поаñdáoios ) ...
... particular ratio ( greater than 1 ) that it bears to it ; and the reciprocals of these ratios give five corresponding different ways in which one number may be less than another . 1. The greater number may be a multiple ( поаñdáoios ) ...
Pagina 74
... particular bearing on the Elements . Thus he speaks of Hippocrates of Chios as a famous geometer for the particular reason that he was the first person of whom it was recorded that he wrote Elements , and there is no reference to his ...
... particular bearing on the Elements . Thus he speaks of Hippocrates of Chios as a famous geometer for the particular reason that he was the first person of whom it was recorded that he wrote Elements , and there is no reference to his ...
Pagina 214
... particular lines or figures given and denoted by letters , on which the argument is to be illustrated ; ( 3 ) the dɩopioμós , definition or specification , which is a restatement of what it is required to do or prove , but in terms of ...
... particular lines or figures given and denoted by letters , on which the argument is to be illustrated ; ( 3 ) the dɩopioμós , definition or specification , which is a restatement of what it is required to do or prove , but in terms of ...
Inhoudsopgave
Classification of mathematical subjects | 5 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
B Addition and subtraction | 28 |
Copyright | |
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Veelvoorkomende woorden en zinsdelen
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