A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 87
... triangle BAC ) is equal to two right angles . And again , if it is known that the angles of a right - angled triangle are together equal to two right angles , it is an easy inference that the angles of any triangle are together equal to ...
... triangle BAC ) is equal to two right angles . And again , if it is known that the angles of a right - angled triangle are together equal to two right angles , it is an easy inference that the angles of any triangle are together equal to ...
Pagina 89
... triangle separately , first the equilateral , then the isosceles , and afterwards the scalene triangle , whereas later geometers proved the property generally for any triangle . But we need not take this too seriously . Aristotle , in ...
... triangle separately , first the equilateral , then the isosceles , and afterwards the scalene triangle , whereas later geometers proved the property generally for any triangle . But we need not take this too seriously . Aristotle , in ...
Pagina 93
... triangle , e.g. if the circle were the circle circumscribing the scalene triangle.1 If Thales actually circumscribed a circle about a right- angled triangle , as the citation from Pamphile suggests , it would be most appropriate that ...
... triangle , e.g. if the circle were the circle circumscribing the scalene triangle.1 If Thales actually circumscribed a circle about a right- angled triangle , as the citation from Pamphile suggests , it would be most appropriate that ...
Inhoudsopgave
INTRODUCTORY 157 | 5 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
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algebra Apollonius Archimedes Archytas arithmetic assumes astronomy axis base bisects Book centre of gravity chord circle circumscribed commentary cone conics contained cube curve cylinder definition diameter Diophantus divided edition equal equation equivalent Eratosthenes Eucl Euclid Eudemus Eudoxus Eutocius figure geometry given ratio given straight line gives Greek height Heron Hipparchus hyperbola inscribed lemmas length loci mathematics mean proportionals method method of exhaustion moon multiplied namely Pappus parabola parallel parallelogram pentagon perpendicular plane Plato polygonal number Porisms Posidonius problem Proclus proof Prop propositions proved Ptolemy pyramid Pythagoras Pythagoreans quadratic quadratic equations radius rectangle respectively right angles right-angled triangle segment semicircle sexagesimal sides similar solid solution solved sphere square number surface tangent Theon Theon of Alexandria theorem theory tion translation treatise triangular number volume whence