A History of Mathematics |
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Page 19
... later epoch of Greek history . A new impetus to its progress was given by Pythagoras . The School of Pythagoras . Pythagoras ( 580 ? -500 ? B.C. ) was one of those figures which impressed the imagination of succeeding times to such an ...
... later epoch of Greek history . A new impetus to its progress was given by Pythagoras . The School of Pythagoras . Pythagoras ( 580 ? -500 ? B.C. ) was one of those figures which impressed the imagination of succeeding times to such an ...
Page 21
... later traditions of the Neo - Pythago- reans this objection is removed by replacing this bloody sacri- fice by that of " an ox made of flour " ! The proof of the law of three squares , given in Euclid's Elements , I. 47 , is due to ...
... later traditions of the Neo - Pythago- reans this objection is removed by replacing this bloody sacri- fice by that of " an ox made of flour " ! The proof of the law of three squares , given in Euclid's Elements , I. 47 , is due to ...
Page 22
... Later another regular solid was discovered , namely the dodecaedron , which , in absence of a fifth element , was made to represent the universe itself . Iamblichus states that Hippasus , a Py- thagorean , perished in the sea , because ...
... Later another regular solid was discovered , namely the dodecaedron , which , in absence of a fifth element , was made to represent the universe itself . Iamblichus states that Hippasus , a Py- thagorean , perished in the sea , because ...
Page 23
... later Pythagoreans exercised a strong influence on the study and development of mathematics at Athens . The Sophists acquired geometry from Pythagorean sources . Plato bought the works of Philolaus , and had a warm friend in Archytas ...
... later Pythagoreans exercised a strong influence on the study and development of mathematics at Athens . The Sophists acquired geometry from Pythagorean sources . Plato bought the works of Philolaus , and had a warm friend in Archytas ...
Page 25
... later geome- ters , he failed in effecting the trisection by means of a ruler and compass only . Proclus mentions a man , Hippias , presum- ably Hippias of Elis , as the inventor of a transcendental curve which served to divide an angle ...
... later geome- ters , he failed in effecting the trisection by means of a ruler and compass only . Proclus mentions a man , Hippias , presum- ably Hippias of Elis , as the inventor of a transcendental curve which served to divide an angle ...
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