A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 149
... drawn with D as centre and radius equal to the given length . Again , if we complete the parallelogram ABFH and draw KEL parallel to AH , we see that , the complements being equal , whence ( BD ) = ( KH ) , BC.CD KL.LH = BF.ED = BF.FG ...
... drawn with D as centre and radius equal to the given length . Again , if we complete the parallelogram ABFH and draw KEL parallel to AH , we see that , the complements being equal , whence ( BD ) = ( KH ) , BC.CD KL.LH = BF.ED = BF.FG ...
Pagina 233
... draw in the angle FGE the parallelogram GOQP equal to ( EF ) —C and similar and similarly situated to D. Euclid does in fact describe the parallelogram LKNM equal to ( EF ) —C and similar and similarly situated to D , and then draws ...
... draw in the angle FGE the parallelogram GOQP equal to ( EF ) —C and similar and similarly situated to D. Euclid does in fact describe the parallelogram LKNM equal to ( EF ) —C and similar and similarly situated to D , and then draws ...
Pagina 252
... draw a square with side a such that a2 = D. D , and describe a cube on this square as base . 4. The icosahedron . Given D , the diameter of the circumscribing sphere , describe a circle with radius r such that r2 = D . } D . Inscribe a ...
... draw a square with side a such that a2 = D. D , and describe a cube on this square as base . 4. The icosahedron . Given D , the diameter of the circumscribing sphere , describe a circle with radius r such that r2 = D . } D . Inscribe a ...
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