Greek MathematicsDover, 1963 - 552 pagina's |
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Pagina 216
... assumed . Archimedes uses it of what is now known as the Axiom of Archimedes , the principle used by Eudoxus and others in the method of exhaustion . More commonly it is an auxiliary proposition requiring proof , but assumed in the ...
... assumed . Archimedes uses it of what is now known as the Axiom of Archimedes , the principle used by Eudoxus and others in the method of exhaustion . More commonly it is an auxiliary proposition requiring proof , but assumed in the ...
Pagina 242
... assumed as rational is rational , any area incommensurable with it is irrational ( 4 ) . Thus , if p is a straight line assumed as rational , not only is kp rational , but also vk.p , where k is a non - square number or a frac- tion m ...
... assumed as rational is rational , any area incommensurable with it is irrational ( 4 ) . Thus , if p is a straight line assumed as rational , not only is kp rational , but also vk.p , where k is a non - square number or a frac- tion m ...
Pagina 513
... assumed maximum deviations in latitude of the sun , moon , and planets ( the sun 1 ° , the moon and Venus 12 ° , Mercury 8 ° , Mars 5 ° , Jupiter 5 ° , and Saturn 3 ° ) . The order of the orbits ( on the geocentric system ) is next ...
... assumed maximum deviations in latitude of the sun , moon , and planets ( the sun 1 ° , the moon and Venus 12 ° , Mercury 8 ° , Mars 5 ° , Jupiter 5 ° , and Saturn 3 ° ) . The order of the orbits ( on the geocentric system ) is next ...
Inhoudsopgave
Classification of mathematical subjects | 5 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
B Addition and subtraction | 28 |
Copyright | |
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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