FUME
发表于 2025-3-23 13:09:48
Early modern methods of analysisons were analysis called “synthesis.” Moreover, a few classical sources. spoke in general about this arrangement. The most important of these texts was the opening of the seventh book of Pappus’ .; I quote this passage here in full:
口味
发表于 2025-3-23 17:02:49
Using algebra — Viète’s analysis or to non-numerical quantities (such as line segments or other geometrical magnitudes), thus legitimizing the use of algebra in geometry while retaining the conviction that geometrical magnitude and number were essentially different. Viète called this system “new algebra” or “specious logistics.”
高射炮
发表于 2025-3-23 21:42:10
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justify
发表于 2025-3-23 22:58:41
Keplere of algebra. For Kepler the issue was of central philosophical importance, and for that reason his analysis of constructional exactness in geometry was both more detailed and more critical than any in his period.
通知
发表于 2025-3-24 04:32:23
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incredulity
发表于 2025-3-24 10:32:39
General introductionheir science in order to meet more appropriate and higher standards of exactness. Several such endeavors have been highly successful. Exploring the intricacies of incommensurability and the infinite, Greek mathematicians created theories whose rigor is still impressive to the modern mind. The rigori
capillaries
发表于 2025-3-24 14:08:56
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FLAT
发表于 2025-3-24 18:33:00
1588: Pappus’ “Collection”cut statements on the aim and rules of geometrical problem solving, many examples of constructions, and suggestive information about analytical methods for finding the solutions of problems. At the same time Pappus’ practice of problem solving was often inconsistent with the rules and aims he profes
TAIN
发表于 2025-3-24 21:14:03
The early modern tradition of geometrical problem solving; survey and examplesness of construction during the period c. 1590 – c. 1650. The debates primarily concerned the solution of point construction problems, that is, problems that admitted one or a finite number of solutions only. Solving such problems was indeed seen as a major, if not the main, aim of geometry..
Neutropenia
发表于 2025-3-25 00:12:54
Early modern methods of analysissical mathematical texts. in which the constructions of problems were preceded by an argument referred to as “analysis;” in those cases the constructions were analysis called “synthesis.” Moreover, a few classical sources. spoke in general about this arrangement. The most important of these texts wa