A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
Vanuit het boek
Resultaten 1-3 van 76
Pagina 55
... follow that one and the same number is both odd and even . The proof is substantially as follows . Suppose the diagonal AC of a square to be commensur- able with AB the side ; and let a : ẞ be their ratio expressed in the least possible ...
... follow that one and the same number is both odd and even . The proof is substantially as follows . Suppose the diagonal AC of a square to be commensur- able with AB the side ; and let a : ẞ be their ratio expressed in the least possible ...
Pagina 127
... follows that the lune is equal to the difference between the trapezium EKBG and the triangle EFG , i.e. to the sum of the triangles BFG , BFK , KFE . It remains to prove that the segment EKBG is less than a semicircle , or that the ...
... follows that the lune is equal to the difference between the trapezium EKBG and the triangle EFG , i.e. to the sum of the triangles BFG , BFK , KFE . It remains to prove that the segment EKBG is less than a semicircle , or that the ...
Pagina 427
... follows a wedge - shaped solid , βωμίσκος or σφηνίσκος ( little altar ' or ' wedge ' ) ; this is a rectilineal figure in which the base is a rectangle and has opposite to it , in a plane parallel to it , a smaller rectangle the sides of ...
... follows a wedge - shaped solid , βωμίσκος or σφηνίσκος ( little altar ' or ' wedge ' ) ; this is a rectilineal figure in which the base is a rectangle and has opposite to it , in a plane parallel to it , a smaller rectangle the sides of ...
Inhoudsopgave
Classification of mathematical subjects | 5 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
B Addition and subtraction | 28 |
Copyright | |
34 andere gedeelten niet getoond
Overige edities - Alles bekijken
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