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Pagina 230
if four straight lines are proportional, the rectangle contained by the extremes is
equal to that contained by the means, and conversely; Proposition 17 contains
the particular case of three proportional straight lines, where the rectangle ...
if four straight lines are proportional, the rectangle contained by the extremes is
equal to that contained by the means, and conversely; Proposition 17 contains
the particular case of three proportional straight lines, where the rectangle ...
Pagina 351
We may assume Euclid's Comics to have contained most, if not all, of the
propositions in conics assumed by Archimedes as known or 'proved” (as he says)
“in the Elements of Conics'. It is evident that Euclid's work contained the ordinary
chord ...
We may assume Euclid's Comics to have contained most, if not all, of the
propositions in conics assumed by Archimedes as known or 'proved” (as he says)
“in the Elements of Conics'. It is evident that Euclid's work contained the ordinary
chord ...
Pagina 396
Its subject is mainly the observed times of the risings and settings of various stars,
the purpose being the correction of the many inaccuracies contained in the
statements of Aratus and Eudoxus. For our information about Hipparchus' labours
...
Its subject is mainly the observed times of the risings and settings of various stars,
the purpose being the correction of the many inaccuracies contained in the
statements of Aratus and Eudoxus. For our information about Hipparchus' labours
...
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Inhoudsopgave
INTRODUCTORY | 1 |
NUMERICAL INOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
Copyright | |
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according added Apollonius appear applied Archimedes arithmetic assumed base beginning Book called centre circle cone conics construction contained corresponding cube curve cylinder definition described diameter Diophantus discovered divided draw drawn earth edition Elements equal equation equivalent Eucl Euclid expressed fact figure follows four geometry given gives greater Greek height Heron included inscribed Join known latter length less mathematics means measure meet mentioned method multiplied namely observations obtained original Pappus parallel parallelogram particular plane Plato polygon position problem Proclus produced proof Prop proportion propositions proved pyramid Pythagoreans radius ratio rectangle reference regular relation represented respectively result right angles says segment shows sides similar solid solution solved sphere square straight line Suppose surface theorem theory things third tion translation treatise triangle volume whole