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標題: Titlebook: Geometry by Its History; Alexander Ostermann,Gerhard Wanner Textbook 2012 Springer-Verlag Berlin Heidelberg 2012 51-01, 51-03, 01-01.Eucli [打印本頁]

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作者: 小步舞    時間: 2025-3-21 20:15
https://doi.org/10.1007/978-3-662-36786-5Descartes’ Geometrie, published in 1637 as an appendix to his Discours de la m′ethode (from p. 297 onwards; first separate publication Paris 1664), is one of the most influential scientific works of the 17th century. For example, it was one of the only two books1 that the young Isaac Newton owned – he read them very carefully.
作者: 抵押貸款    時間: 2025-3-22 02:32
Die Physiologie des RückenmarksAccording to Descartes, his new geometry should have replaced all the “thick books” of the Greeks (including Euclid, Apollonius, Pappus, and the efforts to find constructions with ruler and compass; see the quotations in Chap. 6), with the only exception of the theorems of Thales and Pythagoras.
作者: Heterodoxy    時間: 2025-3-22 07:00
Die Physiologie der ?inneren Sekretion“Spatial geometry starts in Book XI of Euclid’s Elements with a long list of definitions and boring propositions. It is here that analytic geometry shows its full power: one simply adds a third coordinate z. If you know how to calculate with two variables, you can also calculate with three.
作者: 強行引入    時間: 2025-3-22 11:43
Einführung in die Physiologische EmbryologiePerspective is concerned with the problem of representing a three dimen-sional object, for example the box in Fig. 11.2 (left), on a two dimensional canvas.
作者: 歡樂東方    時間: 2025-3-22 14:34
Further Results in Euclidean GeometryEuclidean geometry is the oldest field of mathematics. The great thinkers during all these centuries accumulated an enormous treasure of beautiful ideas and results. We take pleasure in presenting some of them in this section.
作者: 歡樂東方    時間: 2025-3-22 20:10

作者: Medley    時間: 2025-3-22 21:33

作者: CRP743    時間: 2025-3-23 03:53
Spatial Geometry and Vector AlgebraSpatial geometry starts in Book XI of Euclid’s Elements with a long list of definitions and boring propositions. It is here that analytic geometry shows its full power: one simply adds a third coordinate z. If you know how to calculate with two variables, you can also calculate with three.
作者: VOC    時間: 2025-3-23 05:54

作者: 反感    時間: 2025-3-23 12:38

作者: obstruct    時間: 2025-3-23 14:45
Einführung in die Physiologie des Menschenn form) in Descartes’ solution of a problem of Pappus (see below). They came into general use only a few decades later. We owe important simplifications to Newton (1668), who freely used negative values for coefficients and coordinates. A clear exposition is given in Euler’s Introductio (1748), vol. II, §1–4.
作者: 產(chǎn)生    時間: 2025-3-23 19:13

作者: Medicaid    時間: 2025-3-24 02:08
Cartesian Coordinatesn form) in Descartes’ solution of a problem of Pappus (see below). They came into general use only a few decades later. We owe important simplifications to Newton (1668), who freely used negative values for coefficients and coordinates. A clear exposition is given in Euler’s Introductio (1748), vol. II, §1–4.
作者: 疼死我了    時間: 2025-3-24 05:52

作者: GLOSS    時間: 2025-3-24 08:07
Durst und Hunger: Allgemeinempfindungen. III.20) and areas (the Pythagorean theorem). A quick look at the index shows that these three theorems are by far the most basic and frequently used results of geometry. The only original documents which have survived from the pre-Euclidean period are some cuneiform Babylonian tablets (from approx
作者: craving    時間: 2025-3-24 13:42
Der Gesamtenergieumsatz des K?rpersd 300 B.C. All the mathematical knowledge of the period is collected there and presented with a rigour which remained unequalled for the following two thousand years. Over the years, the Elements have been copied, recopied, modified, commented upon and interpreted unceasingly. Only the painstaking c
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作者: myriad    時間: 2025-3-25 00:36

作者: misshapen    時間: 2025-3-25 04:38
über ?reflektorische“ Erregungen (see the quotations). This theory turned mathematics upside down to such an extent that some books on “geometry” from the beginning of the 20th century (for example that of Schreier and Sperner) were written entirely in the language of vectors and matrices.
作者: 壯觀的游行    時間: 2025-3-25 10:07

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作者: CLAY    時間: 2025-3-25 16:48
978-3-642-44469-2Springer-Verlag Berlin Heidelberg 2012
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作者: 變形詞    時間: 2025-3-26 01:19
Textbook 2012t Greeks established geometry, together with its numerous practical applications, while more recent findings on Euclidian geometry are discussed as well. The following three chapters explain the revolution in? geometry due to the progress made in the field of algebra by Descartes, Euler and Gauss. S
作者: Obsessed    時間: 2025-3-26 06:46
Trigonometryrabic as- tronomers gave it the Arabic-Greek title al-μεγ′ιστη, and so the book became the Almagest , translated into Latin by Regiomontanus. It was the second scientific book to be printed (in 1496), after Euclid’s Elements (in 1482); see Fig.?5.1, left.
作者: 招募    時間: 2025-3-26 10:19
Textbook 2012merged in the?19.th.century..Complemented by numerous examples, exercises, figures and pictures, the book offers both motivation and insightful explanations, and provides stimulating and enjoyable reading for students and teachers alike..
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作者: Ingest    時間: 2025-3-26 20:14
Solutions to the Exercises, we present below our solutions to the exercises. This allows the readers to compare with their own solutions and to find the one or other idea for improvements. Whenever a reader finds a shorter or more elegant solution, the authors will be glad to include it in a future edition of this book.
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作者: 陰郁    時間: 2025-3-27 11:11

作者: Bereavement    時間: 2025-3-27 15:11
Durst und Hunger: Allgemeinempfindungenimately 1900 B.C.), the Egyptian Rhind papyrus and the Moscow papyrus from approximately the same period. The achievements of Thales, Pythagoras and his pupils the Pythagoreans are only documented in commentaries, often contradictory, written many centuries later.
作者: 小步舞    時間: 2025-3-27 20:42
Thales and Pythagorasimately 1900 B.C.), the Egyptian Rhind papyrus and the Moscow papyrus from approximately the same period. The achievements of Thales, Pythagoras and his pupils the Pythagoreans are only documented in commentaries, often contradictory, written many centuries later.
作者: 搏斗    時間: 2025-3-28 01:40

作者: coltish    時間: 2025-3-28 05:19

作者: Collar    時間: 2025-3-28 08:42
Conic Sectionsn conic sections; the first four have survived in the original Greek text (a critical edition was published by Heiberg 1893), books V, VI and VII were reconstructed from arabic texts by E.Halley (1710), the last volume is lost. We base our quotations on the French translation by Ver Eecke (1923). An
作者: beta-cells    時間: 2025-3-28 12:34

作者: 休戰(zhàn)    時間: 2025-3-28 17:19
Cartesian Coordinatesn form) in Descartes’ solution of a problem of Pappus (see below). They came into general use only a few decades later. We owe important simplifications to Newton (1668), who freely used negative values for coefficients and coordinates. A clear exposition is given in Euler’s Introductio (1748), vol.
作者: 鉆孔    時間: 2025-3-28 20:21

作者: 策略    時間: 2025-3-29 01:02

作者: 壓倒    時間: 2025-3-29 04:05

作者: 熟練    時間: 2025-3-29 09:15
0172-6056 tures, the book offers both motivation and insightful explanations, and provides stimulating and enjoyable reading for students and teachers alike..978-3-642-44469-2978-3-642-29163-0Series ISSN 0172-6056 Series E-ISSN 2197-5604
作者: 大包裹    時間: 2025-3-29 11:40
Einführung in die Physiologie des Menschenter simplified with the use of analytic methods, see Chap. 7. Even the most elegant geometric idea in this field, Dandelin spheres, had to wait another 2000 years before being discovered by a Belgian army engineer (G.P.Dandelin, 1794–1847). This discovery turned the presentation of conics upside dow
作者: mechanical    時間: 2025-3-29 18:07

作者: 尖叫    時間: 2025-3-29 20:45
tomotive sector through training the labor force and improving conditions for Japanese investment prosperity, assuming that the United States-Mexico-Canada Agreement (UMSCA) is a fundamental incentive..The analysis recovers the institutions as the vehicles that promote the response of the different
作者: ablate    時間: 2025-3-30 01:48





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