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Pagina 329
This he does by clever geometry very much after the manner of Aristarchus' work
On the sizes and distances of the Sun and Moon, and proves that the diameter of
the sun is greater than the side of a regular polygon of 812 sides, and a fortiori ...
This he does by clever geometry very much after the manner of Aristarchus' work
On the sizes and distances of the Sun and Moon, and proves that the diameter of
the sun is greater than the side of a regular polygon of 812 sides, and a fortiori ...
Pagina 360
Conjugate diameters in an ellipse are dealt with in I. 15 in relation to the diameter
of reference PP' and its conjugate DD", and it is proved that the ellipse has the
same property in relation to DD' and its parameter that it has in relation to PP" ...
Conjugate diameters in an ellipse are dealt with in I. 15 in relation to the diameter
of reference PP' and its conjugate DD", and it is proved that the ellipse has the
same property in relation to DD' and its parameter that it has in relation to PP" ...
Pagina 361
original diameter and the tangent at its extremity as axes to any diameter and the
tangent at its extremity; Apollonius shows that, if any other diameter than the
original one be taken, the property of the curve with reference to the new
diameter ...
original diameter and the tangent at its extremity as axes to any diameter and the
tangent at its extremity; Apollonius shows that, if any other diameter than the
original one be taken, the property of the curve with reference to the new
diameter ...
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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