A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 83
... bisected by its diameter ( = Eucl . I , Def . 17 ) ; ( 2 ) that the angles at the base of an isosceles triangle are equal ( = Eucl . I. 5 ) ; ( 3 ) that , if two straight lines cut one another , the ver- tically opposite angles are ...
... bisected by its diameter ( = Eucl . I , Def . 17 ) ; ( 2 ) that the angles at the base of an isosceles triangle are equal ( = Eucl . I. 5 ) ; ( 3 ) that , if two straight lines cut one another , the ver- tically opposite angles are ...
Pagina 189
... bisected by , the zodiac circle . In the case of the sun and moon Eudoxus used three spheres only ; the two outer ... bisecting it is the zodiac circle . A B The hippopede is really the intersection of the sphere about the earth as ...
... bisected by , the zodiac circle . In the case of the sun and moon Eudoxus used three spheres only ; the two outer ... bisecting it is the zodiac circle . A B The hippopede is really the intersection of the sphere about the earth as ...
Pagina 360
... bisected at the centre ' ( I. 30 ) . Conjugate diameters in an ellipse are dealt with in I. 15 in relation to the diameter of reference PP ' and its con- jugate DD ' , and it is proved that the ellipse has the same property in relation ...
... bisected at the centre ' ( I. 30 ) . Conjugate diameters in an ellipse are dealt with in I. 15 in relation to the diameter of reference PP ' and its con- jugate DD ' , and it is proved that the ellipse has the same property in relation ...
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