A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 110
... things were together ' , by Mind . The rotation , beginning at the centre , gradually spread further outwards . This resulted , first , in the separation of two great masses , the ' aether on the outside ( consisting of the rare , hot ...
... things were together ' , by Mind . The rotation , beginning at the centre , gradually spread further outwards . This resulted , first , in the separation of two great masses , the ' aether on the outside ( consisting of the rare , hot ...
Pagina 173
... things ; it is not the mathematical or essential circle . The hypotheses of mathematics . In the Republic Plato observes that mathematicians take certain things for granted in arithmetic and geometry , without feeling called upon to ...
... things ; it is not the mathematical or essential circle . The hypotheses of mathematics . In the Republic Plato observes that mathematicians take certain things for granted in arithmetic and geometry , without feeling called upon to ...
Pagina 195
... thing defined exists or not ; they only require to be understood . Existence is only postu- lated in the case of a few fundamental things , e.g. the unit and magnitude ; in geometry we assume points and lines only , and the existence of ...
... thing defined exists or not ; they only require to be understood . Existence is only postu- lated in the case of a few fundamental things , e.g. the unit and magnitude ; in geometry we assume points and lines only , and the existence of ...
Inhoudsopgave
Classification of mathematical subjects | 5 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
B Addition and subtraction | 28 |
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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