A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 296
... Suppose B > S. Circumscribe and inscribe to B similar regular polygons such that the former has to the latter a ratio less than B : S. Inscribe in A a similar regular polygon and set up on it a pyramid inscribed in the cone . Then ...
... Suppose B > S. Circumscribe and inscribe to B similar regular polygons such that the former has to the latter a ratio less than B : S. Inscribe in A a similar regular polygon and set up on it a pyramid inscribed in the cone . Then ...
Pagina 368
Sir Thomas Little Heath. Suppose the problem solved , i.e. suppose DA , EA drawn to a point A on the circle and cutting it at two B A онк Е F points B , C such that BC produced passes through F. Draw BG , the chord parallel to DF ; join ...
Sir Thomas Little Heath. Suppose the problem solved , i.e. suppose DA , EA drawn to a point A on the circle and cutting it at two B A онк Е F points B , C such that BC produced passes through F. Draw BG , the chord parallel to DF ; join ...
Pagina 373
... Suppose the side AC of the rhombus ACDB produced beyond C , and suppose KH , a straight line of given length ( = k , say ) , inserted between CD and AC produced in such a way that BKH is a straight line . Ε M H N A F K B Bisect KH in N ...
... Suppose the side AC of the rhombus ACDB produced beyond C , and suppose KH , a straight line of given length ( = k , say ) , inserted between CD and AC produced in such a way that BKH is a straight line . Ε M H N A F K B Bisect KH in N ...
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