 | 1894 - 834 σελίδες
...to Euclid, p. 22. According to Gow's translation (ff.nfAf.p. 150)0! the same extract from Eudemus, Pythagoras' changed the study of geometry into the...education, for he examined its principles to the bottom ." having reference.no doubt , to the general extension of the subject by Pythagoras, and to the completeness... | |
 | Florian Cajori - 1893 - 478 σελίδες
...geometry. In fact, arithmetic is the foundation of his philosophic system. The Eudemian Summary says that " Pythagoras changed the study of geometry into the...theorems in an immaterial and intellectual manner." His geometry was connected closely with his arithmetic. He was especially fond of those geometrical... | |
 | Florian Cajori - 1896 - 336 σελίδες
...two centuries. Like Thales, Pythagoras wrote no mathematical treatises. The Eudemian Summary says : " Pythagoras changed the study of geometry into the...theorems in an immaterial and intellectual manner." To Pythagoras himself is to be ascribed the well-known property of the right triangle. The truth of... | |
 | Walter William Rouse Ball - 1901 - 586 σελίδες
...direct general attention to geometry, it was Pythagoras, •ays Proclus, ((uoting from Eudemus, who " changed the study of geometry into the form of a liberal...the bottom and investigated its theorems in an... intellectual manner": and it is accordingly to Pythagoras that we must now direct attention. The Pytfi(tgorean... | |
 | Irving Elgar Miller - 1904 - 104 σελίδες
...temper of mind that made him "the maker of mathematicians." The " Eudemian Summary " states that " Pythagoras changed the study of geometry into the...theorems in an immaterial and intellectual manner." 52 Even if we can rely upon this statement as authoritative, still it is true that there remained a... | |
 | 1920 - 928 σελίδες
...science. The speculative mind of the Greek, disregarding the practical phase of Egyptian geometry, changed the study of geometry into the form of a liberal education. At the time of Pythagoras it was a flourishing science. Later it was transferred to Egypt, the land... | |
 | Robert Adamson - 1908 - 382 σελίδες
...philosophical generalisation ? Proclus in his Commentary on Euclid says distinctly : "Next Pythagoras turned the study of geometry into the form of a liberal education, for he examined. its principles to their foundation, and investigated its theorems without restriction to matter, and in a way purely... | |
 | Robert Adamson - 1908 - 384 σελίδες
...philosophical generalisation ? Proclus in his Commentary on Euclid says distinctly : " Next Pythagoras turned the study of geometry into the form of a liberal education, for he examined its principles to their foundation, and investigated its theorems without restriction to matter, and in a way purely... | |
 | Raleigh Schorling, William David Reeve - 1919 - 576 σελίδες
...Pythagoras (c. 569 BC-C. 500 BC), the second of the great philosophers of Greece, is said to have " changed the study of geometry into the form of a liberal education." After some wanderings, he founded the famous Pythagorean School at Croton, a Dorian colony in the south... | |
 | Matilda Auerbach, Charles Burton Walsh - 1920 - 408 σελίδες
...of the school, although the fact was known for a long time before Pythagoras proved it to be true. " Pythagoras changed the study of geometry into the...its principles to the bottom and investigated its propositions in an immaterial and intellectual manner." Archytas (430-365 BC), who followed Pythagoras,... | |
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Pythagoras changed the study of geometry into the form of a liberal education, for he examined its principles to the bottom and investigated its theorems in an immaterial and intellectual manner. 
