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Titlebook: Euclid Vindicated from Every Blemish; Edited and Annotated Gerolamo Saccheri,Vincenzo Risi Book 2014 Springer International Publishing Swit

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樓主: CLAST
11#
發(fā)表于 2025-3-23 10:55:26 | 只看該作者
Introduction,geometric theory that he constructed, for the first time in history, on the negation of the Euclidean axiom – a geometric theory that we nowadays identify without doubt as a genuine and well-structured system of hyperbolic geometry. Saccheri did not find the supposed contradiction, as it was nowhere
12#
發(fā)表于 2025-3-23 15:02:05 | 只看該作者
Euclid Vindicated from Every Blemish: Book One from the right understanding of its terms alone came conviction. Whence not a few (withal retaining Euclid’s definition of parallels) have attempted its demonstration from those propositions of Euclid’s First Book alone which precede the 29th, wherein begins the use of the controverted Assertion.
13#
發(fā)表于 2025-3-23 21:37:59 | 只看該作者
14#
發(fā)表于 2025-3-24 01:55:37 | 只看該作者
15#
發(fā)表于 2025-3-24 06:17:19 | 只看該作者
16#
發(fā)表于 2025-3-24 08:33:08 | 只看該作者
17#
發(fā)表于 2025-3-24 14:06:48 | 只看該作者
Structural Principles of Giant Cellsompletely forgotten during the following century, and was rediscovered and circulated only in the early nineteen hundreds. Today it is rather well-known, at least in outline, and is usually considered to be the birthplace of research on non-Euclidean geometry. The strategy of . is also widely regard
18#
發(fā)表于 2025-3-24 17:10:08 | 只看該作者
https://doi.org/10.1007/978-3-0348-0534-6himedes, Apollonius, Theodosius, and others almost innumerable, writers on mathematics even to our times, who use Euclid’s . as foundation long established and wholly unshaken. But this so great celebrity has not prevented many, ancients as well as moderns, and among them distinguished geometers, ma
19#
發(fā)表于 2025-3-24 22:27:29 | 只看該作者
WTP and WTA for Expressway Servicesined (in . V, def. 6) the nature of equiproportional magnitudes, and that in doing this, he took upon himself the burden of proving many Propositions which can be most clearly understood of themselves, or at least, when explanations have been brought to bear by him, understood more clearly. Moreover
20#
發(fā)表于 2025-3-25 00:30:04 | 只看該作者
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