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| {{Distinguish|Eudoxus of Cyzicus}}
| | == '明は、暗い場合には言いませんでした == |
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| '''Eudoxus of Cnidus''' ({{IPAc-en|ˈ|juː|d|ə|k|s|ə|s}}; {{lang-el|Εὔδοξος ὁ Κνίδιος}}, ''Eúdoxos ho Knídios''; 408–355 BC) was a [[Ancient Greece|Greek]] [[astronomer]], [[mathematician]], scholar and student of [[Plato]]. All of his works are lost, though some fragments are preserved in [[Hipparchus]]' commentary on [[Aratus]]'s poem on [[astronomy]].<ref>Lasserre, François (1966) ''Die Fragmente des Eudoxos von Knidos'' (de Gruyter: Berlin)</ref> [[Theodosius of Bithynia|Theodosius of Bithynia's]] important work, ''[[Sphaerics]]'', may be based on a work of Eudoxus.
| | 砂漠の鉄傭兵グループがタスクを実行しているが、干渉しないでください、それを停止しました。 [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-15.html カシオ ソーラー 腕時計] 「ルーチンの一般古井なし波のように、、暁丁の声を見上げ持ち上げた。<br>傭兵労働組合がああか、そしてマイル数十及ぶ都市を取り巻くこの石の砂漠で次の作業を発表したとき<br>「ねえ、シャオ丁ヘッドは、私は公共の領域に属し、聞くことができる、私は人の上に持って、それは何もないようだ傭兵グループのそれと間違って？ [http://alleganycountyfair.org/sitemap.xml http://alleganycountyfair.org/sitemap.xml] '群衆の砂は、やや顔曇り鷲男のラインアウトは、アイソレーション·ゾーンにある彼の目は彼を席巻人を検出するために、笑が微笑む。<br><br>「それはサロス最後のショットであればフェリックスは、あなたはおそらく正しい、今無用になっている必要がありますか？ [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-15.html カシオ 腕時計 激安] '李さんは、この非常にスパンキング男性、悪意のある笑顔をちらっと見た。<br><br>神経は、バックステップを取った、マウントの男、いくつかの恐怖と憤り李さん席巻彼の目として知られ、わずかにピクッと動い冷笑： [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-4.html カシオ 腕時計 バンド] '明は、暗い場合には言いませんでした |
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| ==Life== | | == Pielepiezui、オットーLandelikuaiこの神経症男 == |
| His name Eudoxus means "honored" or "of good repute" (in [[Greek language|Greek]] εὔδοξος, from ''eu'' "good" and ''doxa'' "opinion, belief, fame"). It is analogous to the Latin name [[wikt:Benedictus|Benedictus]].
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| Eudoxus's father Aeschines of [[Cnidus]] loved to watch stars at night. Eudoxus first travelled to [[Taranto|Tarentum]] to study with [[Archytas]], from whom he learned [[mathematics]]. While in Italy, Eudoxus visited Sicily, where he studied medicine with [[Philistion of Locri|Philiston]].
| | へ？やってみたい？ [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-11.html 腕時計 メンズ casio] 「Qiaodeオットーの動きガスリーの目は、彼の顔慎重な道を見つめる。<br><br>Pielepiezui、オットーLandelikuaiこの神経症男。<br>ゆっくりと部屋にカウンターの上にその光景一部結晶は台中が古いチラリ、仰天神「色」に触れ迅速に顔に浮上したときにシャオヤンの目が、スイープのスイープ内部部屋で [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-15.html カシオ 腕時計 激安] 'セックス'に慣れて、家に近づい<br>アウト [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-14.html casio 腕時計 phys]。<br><br>「ファイアーハートAescinateはヘミンの草？過ごす？ブルーコア石 [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-6.html casio 電波時計]？......」<br><br>はシャオヤンは助けることができなかったが、口の中をゆっくりと最大拡幅ここに右、あまりにも豊富である、コレクションの、それぞれがすべて一緒にここに持ち込まれている稀な宝物、と考えられているを見て？<br><br>シャオヤン喬神「色」「ねえ、ねえ...少年、あなたは [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-10.html カシオの時計]？私の赤ちゃんの注意をプレイしたい？どう思いますか」とガスリーは急いで飛び越えていることを、彼の顔の激しいはシャオヤンにらみつけ。 |
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| Around 387 BC, at the age of 23, he traveled with the physician [[Theomedon]], who according to [[Diogenes Laërtius]] some believed was his lover,<ref>Diogenes Laertius; VIII.87</ref> to Athens to study with the followers of [[Socrates]]. He eventually became the pupil of [[Plato]], with whom he studied for several months, but due to a disagreement they had a falling out. Eudoxus was quite poor and could only afford an apartment at the [[Piraeus]]. To attend Plato's lectures, he walked the seven miles (11 km) each direction, each day. Due to his poverty, his friends raised funds sufficient to send him to [[Heliopolis (ancient)|Heliopolis]], Egypt to pursue his study of astronomy and mathematics. He lived there for 16 months. From Egypt, he then traveled north to [[Cyzicus]], located on the south shore of the Sea of Marmara, the [[Propontis]]. He traveled south to the court of [[Mausolus]]. During his travels he gathered many students of his own.
| | == 日は、岩から彫られています == |
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| Around 368 BC, Eudoxus returned to Athens with his students. According to some sources, around 367 he assumed headship of the Academy during Plato's period in Syracuse, and taught Aristotle.{{Citation needed|date=September 2010}} He eventually returned to his native Cnidus, where he served in the city assembly. While in Cnidus, he built an observatory and continued writing and lecturing on theology, astronomy and meteorology. He had one son, Aristagoras, and three daughters, Actis, Philtis and Delphis.
| | また、ニュースの噂、ハング家族のショットが、それは雷裁判所ハング陳、名のフン陳、北に不慣れではない都市の日の弟子として受信されたによると、この男は横柄だったが、それは小さな展示会です女王ファンシー雷裁判所はこれらすべての年のすべての中で敬意を表しハング陳は、天才のオーラを過ごしたと言うことができた後、あまりにもその頭の上に消えることはない素晴らしい才能のうち「ルーシー」は、それは、直接である変更がそのように苦しんでいなかったらガマ帝国でありながら、スピーキング、シャオヤンの営業時間は、私は、成長経路は、それがあっても、多分後、彼が原因で才能、「色」の実践外であったほぼ同じフン陳、になることを恐れている最終的になったこれらのドア、クラウドのLAN空想、ほとんどの大規模な [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-8.html カシオ レディース 電波ソーラー腕時計]<br><br>が、 [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-15.html カシオ ソーラー 腕時計] '医学は'古い現れ、ちょうど小岩はこれまで歩いて確認し、今日のレベルに到達するために、このルートを変更しましたが、それはこのルートである。<br>石の周り<br>日は、岩から彫られています |
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| In mathematical astronomy, his fame is due to the introduction of the astronomical [[globe]], and his early contributions to understanding the movement of the [[planet]]s.
| | == 6549 == |
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| His work on [[Proportionality (mathematics)|proportions]] shows tremendous insight into [[number]]s; it allows rigorous treatment of continuous quantities and not just [[Integer|whole numbers]] or even [[rational number]]s. When it was revived by [[Niccolo Fontana Tartaglia|Tartaglia]] and others in the 16th century, it became the basis for quantitative work in science for a century, until it was replaced by [[Richard Dedekind]].
| | 過去を散歩、廊下の最終到達しようとして、ペースは最後に再び移動しているときの目が輝くの前にカウンターを見て、停止しました [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-3.html カシオ 電波時計 腕時計]。<br><br>のカウンター、翡翠プレート、それを置くために手のひらサイズのフルーツの上に、絶妙なヒスイプレートを持って、この果物は非常に奇妙な、半分赤」の色」で、半分白」の色「赤」の色色「側」離れて2フィートで区切られている間も、シャオヤンは白いが、まだどこに熱いの浸透うち感じることがある」が、それは低温の凍結されていることは明確な2ほぼ両極端を醸し出し「性別」の場合は、果実に非常に完璧なブレンドです、言わなければならない、それは実際には非常に特異な性質である [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-14.html casio 腕時計 phys]。<br>さらに<br>、それは2つの属のアディクト [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-9.html カシオ 掛け時計] '性的'果実表面が含まれている、道路の線のかすかな痕跡が、ラインが間違っ間違ったヨーヨーを広げる隠されたルールのいくつかの種類が薄く見えたことができているようだが、グループ [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-5.html カシオの時計] '混乱です |
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| [[Impact crater|Craters]] on [[List of craters on Mars#E|Mars]] and the [[Eudoxus (lunar crater)|Moon]] are named in his honor. An [[algebraic curve]] (the [[Kampyle of Eudoxus]]) is also named after him
| | == 青空鮮明な鐘 '陰陽'の音のアップYaoriに高騰 == |
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| : ''a<sup>2</sup>x<sup>4</sup> = b<sup>4</sup>(x<sup>2</sup> + y<sup>2</sup>)''. | | ' [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-7.html casio 腕時計 説明書]<br>青空鮮明な鐘 [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-2.html 腕時計 casio] '陰陽'の音のアップYaoriに高騰<br>すると、最終的に広場に鳴った、と、いくつかの「陰陽」の音、うるさい正方形、この小さな静かな、無数の鐘を聞くために道路の鐘を下に注視、非常に広い正方形に見える [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-6.html 電波腕時計 カシオ]。<br><br>が一緒に観客の目の前にすべての中央広場をもたらし、副大統領胡主席は、ゆっくりと乾燥させる空中広場の空に浮かぶ、くぐもった雷のような、力強い声を立ち上がって、彼の目は見て回る：「昨日、中庭裁判が選択されている最後の50から、彼らはまた、病院を含め、点の明確な階層構造を持って、中庭の中で、しかし、実際の中庭に入っている資格があり、より良い練習環境を取得したい、つまりこれはすべての改善は、より良い練習環境を得るために、したがって、それにあらゆる努力をし、お客様に多大な助けがあるでしょう、ゲームの最高の最終スコアを達成することが可能でなければなりません！ [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-0.html カシオ 時計 価格] ' |
| | | 相关的主题文章： |
| ==Mathematics<!--Linked from 'Galileo Galilei'-->==
| | <ul> |
| Eudoxus is considered by some to be the greatest of [[Classical Greece|classical Greek]] mathematicians, and in all [[Ancient Greece|antiquity]], second only to [[Archimedes]]. He rigorously developed [[Antiphon (person)|Antiphon]]'s [[method of exhaustion]], a precursor to the [[integral calculus]] which was also used in a masterly way by Archimedes in the following century. In applying the method, Eudoxus proved such mathematical statements as: areas of circles are to one another as the squares of their radii, volumes of spheres are to one another as the cubes of their radii, the volume of a pyramid is one-third the volume of a [[Prism (geometry)|prism]] with the same base and altitude, and the volume of a cone is one-third that of the corresponding cylinder.<ref name="Kline">Morris Kline, ''Mathematical Thought from Ancient to Modern Times'' Oxford University Press, 1972 pp. 48–50</ref>
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| | | <li>[http://www.longkouzhen.com/forum.php?mod=viewthread&tid=5904075 http://www.longkouzhen.com/forum.php?mod=viewthread&tid=5904075]</li> |
| Eudoxus introduced the idea of non-quantified mathematical [[Magnitude (mathematics)|magnitude]] to describe and work with continuous geometrical entities such as lines, angles, areas and volumes, thereby avoiding the use of [[irrational number]]s. In doing so, he reversed a [[Pythagoreanism|Pythagorean]] emphasis on number and arithmetic, focusing instead on geometrical concepts as the basis of rigorous mathematics. Some Pythagoreans, such as Eudoxus' teacher [[Archytas]], had believed that only arithmetic could provide a basis for proofs. Induced by the need to understand and operate with [[Commensurability (mathematics)|incommensurable]] quantities, Eudoxus established what may have been the first deductive organization of mathematics on the basis of explicit [[axiom]]s. The change in focus by Eudoxus stimulated a divide in mathematics which lasted two thousand years. In combination with a Greek intellectual attitude unconcerned with practical problems, there followed a significant retreat from the development of techniques in arithmetic and algebra.<ref name="Kline"></ref>
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| The Pythagoreans had discovered that the diagonal of a square does not have a common unit of measurement with the sides of the square; this is the famous discovery that the square root of 2 cannot be expressed as the ratio of two integers. This discovery had heralded the existence of incommensurable quantities beyond the integers and rational fractions, but at the same time it threw into question the idea of measurement and calculations in geometry as a whole. For example, Euclid provides an elaborate proof of the Pythagorean theorem (''Elements'' I.47), by using addition of areas and only much later (''Elements'' VI.31) a simpler proof from similar triangles, which relies on ratios of line segments.
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| | | <li>[http://www.dazhentanwch.com/forum.php?mod=viewthread&tid=2607 http://www.dazhentanwch.com/forum.php?mod=viewthread&tid=2607]</li> |
| Ancient Greek mathematicians calculated not with quantities and equations as we do today, but instead they used proportionalities to express the relationship between quantities. Thus the ratio of two similar quantities was not just a numerical value, as we think of it today; the ratio of two similar quantities was a primitive relationship between them.
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| Eudoxus was able to restore confidence in the use of proportionalities by providing an astounding definition for the meaning of the equality between two ratios. This definition of proportion forms the subject of Euclid's Book V.
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| In Definition 5 of Euclid's Book V we read:
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| {{Quote|Magnitudes are said to be in the same ratio, the first to the second and the third to the fourth when, if any equimultiples whatever be taken of the first and third, and any equimultiples whatever of the second and fourth, the former equimultiples alike exceed, are alike equal to, or alike fall short of, the latter equimultiples respectively taken in corresponding order.}}
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| Let us clarify it by using modern-day notation. If we take four quantities: ''a'', ''b'', ''c'', and ''d'', then the first and second have a ratio <math>a/b</math>; similarly the third and fourth have a ratio <math>c/d</math>.
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| Now to say that <math>a/b = c/d</math> we do the following:
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| For any two arbitrary integers, ''m'' and ''n'', form the equimultiples
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| ''m''·''a'' and ''m''·''c'' of the first and third; likewise form the equimultiples ''n''·''b'' and ''n''·''d'' of the second and fourth.
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| If it happens that ''m''·''a'' > ''n''·''b'', then we must also have ''m''·''c'' > ''n''·''d''.
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| If it happens that ''m''·''a'' = ''n''·''b'', then we must also have ''m''·''c'' = ''n''·''d''. Finally, if it happens that ''m''·''a'' < ''n''·''b'', then we must also have ''m''·''c'' < ''n''·''d''.
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| Notice that the definition depends on comparing the similar quantities ''m''·''a'' and ''n''·''b'', and the similar quantities ''m''·''c'' and ''n''·''d'', and does not depend on the existence of a common unit of measuring these quantities.
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| The complexity of the definition reflects the deep conceptual and methodological innovation involved. It brings to mind the famous [[parallel postulate|fifth postulate of Euclid]] concerning parallels, which is more extensive and complicated in its wording than the other postulates.
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| The Eudoxian definition of proportionality uses the quantifier, "for every ..." to harness the infinite and the infinitesimal, just as do the modern [[epsilon-delta definition]]s of limit and continuity.
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| Additionally, the [[Archimedean property]] stated as definition 4 of Euclid's book V is originally due not to Archimedes but to Eudoxus.<ref name="Knopp1951">{{Cite book|last=Knopp|first=Konrad|authorlink=Konrad Knopp|title=Theory and Application of Infinite Series|edition=English 2nd|page=7|year=1951|publisher=Blackie & Son, Ltd.|location=London and Glasgow}}</ref>
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| ==Astronomy==
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| In [[ancient Greece]], astronomy was a branch of mathematics; astronomers sought to create geometrical models that could imitate the appearances of celestial motions. Identifying the astronomical work of Eudoxus as a separate category is therefore a modern convenience. Some of Eudoxus' astronomical texts whose names have survived include:
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| * ''Disappearances of the Sun'', possibly on eclipses
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| * ''Oktaeteris'' (Ὀκταετηρίς), on an eight-year lunisolar cycle of the calendar
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| * ''Phaenomena'' (Φαινόμενα) and ''Entropon'' (Ἔντροπον), on [[spherical astronomy]], probably based on observations made by Eudoxus in Egypt and Cnidus
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| * ''On Speeds'', on planetary motions
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| We are fairly well informed about the contents of ''Phaenomena'', for Eudoxus' prose text was the basis for a poem of the same name by [[Aratus]]. [[Hipparchus]] quoted from the text of Eudoxus in his commentary on Aratus.
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| ===Eudoxan planetary models===
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| A general idea of the content of ''On Speeds'' can be gleaned from [[Aristotle|Aristotle's]] ''Metaphysics'' XII, 8, and a commentary by [[Simplicius of Cilicia]] (6th century CE) on ''De caelo'', another work by Aristotle. According to a story reported by Simplicius, Plato posed a question for Greek astronomers: "By the assumption of what uniform and orderly motions can the apparent motions of the planets be accounted for?" (quoted in Lloyd 1970, p. 84). Plato proposed that the seemingly chaotic wandering motions of the planets could be explained by combinations of uniform circular motions centered on a spherical Earth, apparently a novel idea in the 4th century.
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| In most modern reconstructions of the Eudoxan model, the Moon is assigned three spheres:
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| * The outermost rotates westward once in 24 hours, explaining rising and setting.
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| * The second rotates eastward once in a month, explaining the monthly motion of the Moon through the [[zodiac]].
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| * The third also completes its revolution in a month, but its axis is tilted at a slightly different angle, explaining motion in latitude (deviation from the [[ecliptic]]), and the motion of the [[lunar node]]s.
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| The Sun is also assigned three spheres. The second completes its motion in a year instead of a month. The inclusion of a third sphere implies that Eudoxus mistakenly believed that the Sun had motion in latitude.
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| The five visible planets ([[Venus]], [[Mercury (planet)|Mercury]], [[Mars]], [[Jupiter]], and [[Saturn]]) are assigned four spheres each:
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| * The outermost explains the daily motion.
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| * The second explains the planet's motion through the zodiac.
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| * The third and fourth together explain [[apparent retrograde motion|retrogradation]], when a planet appears to slow down, then briefly reverse its motion through the zodiac. By inclining the axes of the two spheres with respect to each other, and rotating them in opposite directions but with equal periods, Eudoxus could make a point on the inner sphere trace out a figure-eight shape, or [[hippopede]].
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| ===Importance of Eudoxan system===
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| [[Callippus]], a Greek astronomer of the 4th century, added seven spheres to Eudoxus' original 27 (in addition to the planetary spheres, Eudoxus included a sphere for the fixed stars). Aristotle described both systems, but insisted on adding "unrolling" spheres between each set of spheres to cancel the motions of the outer set. Aristotle was concerned about the physical nature of the system; without unrollers, the outer motions would be transferred to the inner planets.
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| A major flaw in the Eudoxan system is its inability to explain changes in the brightness of planets as seen from Earth. Because the spheres are concentric, planets will always remain at the same distance from Earth. This problem was pointed out in Antiquity by [[Autolycus of Pitane]]. Astronomers responded by introducing the [[deferent and epicycle]], which caused a planet to vary its distance. However, Eudoxus' importance to [[Greek astronomy]] is considerable, as he was the first to attempt a mathematical explanation of the planets.
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| ==Ethics==
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| [[Aristotle]], in ''[[The Nicomachean Ethics]]''<ref>Largely in Book Ten.</ref> attributes to Eudoxus an argument in favor of [[hedonism]], that is, that pleasure is the ultimate good that activity strives for. According to Aristotle, Eudoxus put forward the following arguments for this position:
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| # All things, rational and irrational, aim at pleasure; things aim at what they believe to be good; a good indication of what the chief good is would be the thing that most things aim at.
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| # Similarly, pleasure's opposite − pain − is universally avoided, which provides additional support for the idea that pleasure is universally considered good.
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| # People don't seek pleasure as a means to something else, but as an end in its own right.
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| # Any other good that you can think of would be better if pleasure were added to it, and it is only by good that good can be increased.
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| # Of all of the things that are good, happiness is peculiar for not being praised, which may show that it is the crowning good.<ref>This particular argument is referenced in Book One.</ref>
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| ==See also==
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| * [[Incommensurable magnitudes]]
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| * [[Construction of the real numbers#Construction from Z (Eudoxus reals)|''Eudoxus reals'']] (a fairly recently discovered construction of the real numbers, named in his honor)
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| ==Notes==
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| {{Reflist|2}}
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| ==References==
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| * {{Cite book| author = Evans, James | title = The History and Practice of Ancient Astronomy | edition = | publisher = Oxford University Press | year = 1998 | isbn = 0-19-509539-1 | oclc = 185509676 }}
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| * {{Cite book| author = Huxley, GL | title = Eudoxus of Cnidus ''p. 465-7 in:'' the Dictionary of Scientific Biography, volume 4 | edition = | publisher = | year = 1980 | id = }}
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| * {{Cite book| author = Lloyd, GER | title = Early Greek Science: Thales to Aristotle | edition = | publisher = W.W. Norton | year = 1970 | id = }}
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| ==Further reading==
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| *{{cite book|last=De Santillana|first=G.|title=Reflections on Men and Ideas|year=1968|publisher=MIT Press|location=Cambridge, MA|chapter=Eudoxus and Plato: A Study in Chronology}}
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| *{{cite journal|last=Huxley|first=G. L.|title=Eudoxian Topics|journal=Greek, Roman, and Byzantine Studies|year=1963|volume=4|pages=83–96}}
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| *{{cite book|last=Knorr|first=Wilbur Richard|title=The Ancient tradition of geometric problems|year=1986|publisher=Birkhäuser|location=Boston|isbn=0-8176-3148-8}}
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| *{{cite journal|last=Knorr|first=Wilbur Richard|title=Archimedes and the Pre-Euclidean Proportion Theory|journal=Archives Intemationales d'histoire des Sciences|year=1978|volume=28|pages=183–244}}
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| *{{cite book|last=Neugebauer|first=O.|title=A history of ancient mathematical astronomy|year=1975|publisher=Springer-Verlag|location=Berlin|isbn=0-387-06995-X}}
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| *{{cite book|last=Van der Waerden|first=B. L.|title=Science Awakening|year=1988|publisher=Noordhoff|location=Leiden|edition=5th}}
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| * Lasserre, François'' (''1966)'' Die Fragmente des Eudoxos von Knidos'' (de Gruyter: Berlin)
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| * Manitius, C. (1894) ''Hipparchi in Arati et Eudoxi Phaenomena Commentariorum Libri Tres ''(Teubner)
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| ==External links==
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| * [http://www.youtube.com/watch?v=_SFzDYSqR_4 Working model and complete explanation of the Eudoxus's Spheres]
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| * [http://www.dioi.org/vols/wf0.pdf Dennis Duke, "Statistical dating of the Phaenomena of Eudoxus", ''DIO'', volume 15] ''see pages 7 to 23''
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| * {{ws|[[Diogenes Laërtius]], [[s:Lives of the Eminent Philosophers/Book VIII#Eudoxus|''Life of Eudoxus'']], translated by [[Robert Drew Hicks]] (1925)}} Wikisource
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| * [http://www.britannica.com/EBchecked/topic/195005/Eudoxus-of-Cnidus Eudoxus of Cnidus] Britannica.com
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| * [http://www.math.tamu.edu/~don.allen/history/eudoxus/eudoxus.html Eudoxus of Cnidus] Donald Allen, Professor, Texas A&M University
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| * [http://www.calstatela.edu/faculty/hmendel/Ancient%20Mathematics/Eudoxus/Astronomy/EudoxusHomocentricSpheres.htm Eudoxos of Knidos (Eudoxus of Cnidus): astronomy and homocentric spheres] Henry Mendell, Cal State U, LA
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| * [http://www.losttrails.com/pages/Hproject/Caria/Cnidus/Cnidus.html Herodotus Project: Extensive B+W photo essay of Cnidus]
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| * [http://faculty.fullerton.edu/cmcconnell/Planets.html#3 Models of Planetary Motion—Eudoxus], Craig McConnell, Ph.D., Cal State, Fullerton
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| * {{MacTutor Biography|id=Eudoxus}}
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| * [http://hsci.cas.ou.edu/images/applets/hippopede.html The Universe According to Eudoxus] ([[Java virtual machine|Java]] applet)
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| {{Platonists}}
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| {{Greek astronomy}}
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| {{Greek mathematics}}
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| {{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
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| | NAME =Eudoxus Of Cnidus
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| | ALTERNATIVE NAMES =
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| | SHORT DESCRIPTION = Ancient Greek scholar
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| | DATE OF BIRTH =
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| | PLACE OF BIRTH =
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| }}
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| {{DEFAULTSORT:Eudoxus Of Cnidus}}
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