A History of Greek Mathematics, Volum 1Clarendon Press, 1921 - 586 pàgines |
Des de l'interior del llibre
Resultats 1 - 5 de 85.
Pàgina 35
... curves or broken lines and surfaces , of a solid sector ' and a solid rhombus ' ) followed by five Assumptions , all of importance . Of all lines which have the same extremities the straight line is the least , and , if there are two ...
... curves or broken lines and surfaces , of a solid sector ' and a solid rhombus ' ) followed by five Assumptions , all of importance . Of all lines which have the same extremities the straight line is the least , and , if there are two ...
Pàgina 45
... value for a real solution is that corresponding to the value x = a . This is established by showing that , if bc24a3 , x = = the curves touch at the point for which x = ON THE SPHERE AND CYLINDER , II 45 (i) Archimedes's own solution 45-46.
... value for a real solution is that corresponding to the value x = a . This is established by showing that , if bc24a3 , x = = the curves touch at the point for which x = ON THE SPHERE AND CYLINDER , II 45 (i) Archimedes's own solution 45-46.
Pàgina 46
Sir Thomas Little Heath. the curves touch at the point for which x = 3a . If on the other hand bc2 < a3 , it is proved that there are two real solutions . In the particular case arising in Prop . 4 it is clear that the condition for a ...
Sir Thomas Little Heath. the curves touch at the point for which x = 3a . If on the other hand bc2 < a3 , it is proved that there are two real solutions . In the particular case arising in Prop . 4 it is clear that the condition for a ...
Pàgina 65
... curves in such a position that , if produced , it passes through a given point ( this is the meaning of verging ) . Each of the propositions 5-9 depends on a vevois of this kind , F M. H'T F ' H FIG . 2 . which Archimedes assumes as ...
... curves in such a position that , if produced , it passes through a given point ( this is the meaning of verging ) . Each of the propositions 5-9 depends on a vevois of this kind , F M. H'T F ' H FIG . 2 . which Archimedes assumes as ...
Pàgina 68
... curves , or generally solves it by means of a foreign kind , as is the case e.g. ( 1 ) with the problem in the fifth Book of the Conics of Apollonius relating to the parabola , and ( 2 ) when Archimedes assumes in his work on the spiral ...
... curves , or generally solves it by means of a foreign kind , as is the case e.g. ( 1 ) with the problem in the fifth Book of the Conics of Apollonius relating to the parabola , and ( 2 ) when Archimedes assumes in his work on the spiral ...
Continguts
167 | |
175 | |
195 | |
235 | |
245 | |
253 | |
273 | |
283 | |
292 | |
298 | |
310 | |
316 | |
323 | |
329 | |
449 | |
455 | |
462 | |
475 | |
514 | |
518 | |
532 | |
538 | |
545 | |
554 | |
563 | |
570 | |
573 | |
Altres edicions - Mostra-ho tot
A History of Greek Mathematics: From Thales to Euclid Sir Thomas Little Heath Visualització completa - 1921 |
Frases i termes més freqüents
Apollonius Archimedes Archimedes's axes axis base bisected Book centre of gravity chap chord circle circumference circumscribed commentary cone conic Ctesibius cube curve cylinder diameter Diophantus Dioptra draw drawn earth ellipse equal equation Eratosthenes Eucl Euclid Eutocius formula frustum Geminus geometry given ratio gives greater Greek Heron Hipparchus hyperbola inscribed figure intersection lemmas loci means meet method method of exhaustion Metrica moon obtained ordinates Pappus Pappus's parabola parallel parallelogram perpendicular plane polygon Posidonius problem Proclus produced proof Prop propositions proved Ptolemy radius rectangle regular polygon respectively right angles says sector segment semicircle sides similar solid solution solved sphere spheroid spiral square stades straight line surface tangent Theon Theon of Alexandria theorem treatise triangle vertex whence