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On the Equilibrium of Planes (Ancient Greek: Περὶ ἐπιπέδων ἱσορροπιῶν, romanized: perí epipédōn isorropiôn) is a treatise by Archimedes in two volumes. The first book contains a proof of the law of the lever and culminates with propositions on the centre of gravity of the triangle and the trapezium. The second book, which contains ten propositions, examines the centres of gravity of parabolic segments.

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  • حول توازن السطوح (ar)
  • Sull'equilibrio dei piani (it)
  • On the Equilibrium of Planes (en)
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  • حول توازن السطوح (بالإغريقية: Περὶ ἐπιπέδων ἱσορροπιῶν)‏ هي أطروحة ألفها أرخميدس في مجلدين. احتوي الكتاب الأول على برهان لقانون الرافعة وتوج ببراهين حول مركز ثقل المثلث وشبه المنحرف. الكتاب الثاني، احتوي على عشرة براهين، تدور حول مراكز ثقل القطع المستقيمة المكافئية. وفقًا لبابوس الإسكندري، فإن عمل أرخميدس على الرافعات جعله يقول: «أعطني مكانًا أقف عليه، وسأحرك الكرة الأرضية» (بالإغريقية: δός μοί ποῦ στῶ καὶ κινῶ τὴν γῆν)‏، ولكن هناك حالة من الغموض حول سياق المقولة في المصادر القديمة الأخرى. (ar)
  • Sull'equilibrio dei piani (in greco moderno: Περὶ ἐπιπέδων ἱσορροπιῶν) è un trattato di Archimede in due volumi. Il primo libro stabilisce la legge del guadagno meccanico delle leve e individua il centro di gravità del triangolo e del trapezio. Secondo Pappo d'Alessandria, lo studio delle leve spinse Archimede ad affermare: "Datemi un punto di appoggio, e sposterò la Terra". (in greco moderno: δῶς μοι πᾶ στῶ καὶ τὰν γᾶν κινάσω). Il secondo libro, che contiene dieci proposizioni, esamina i centri di gravità dei segmenti parabolici. (it)
  • On the Equilibrium of Planes (Ancient Greek: Περὶ ἐπιπέδων ἱσορροπιῶν, romanized: perí epipédōn isorropiôn) is a treatise by Archimedes in two volumes. The first book contains a proof of the law of the lever and culminates with propositions on the centre of gravity of the triangle and the trapezium. The second book, which contains ten propositions, examines the centres of gravity of parabolic segments. (en)
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  • On the Equilibrium of Planes I-II (en)
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  • On the Equilibrium of Planes I-II (en)
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  • http://commons.wikimedia.org/wiki/Special:FilePath/Equilibrium_Planes_Applied_Weights.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Equilibrium_Planes_Compared_Lines.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Equilibrium_Planes_Extended_Line.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Equilibrium_Planes_Weights_Line.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Archimedes_lever_(Small).jpg
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  • حول توازن السطوح (بالإغريقية: Περὶ ἐπιπέδων ἱσορροπιῶν)‏ هي أطروحة ألفها أرخميدس في مجلدين. احتوي الكتاب الأول على برهان لقانون الرافعة وتوج ببراهين حول مركز ثقل المثلث وشبه المنحرف. الكتاب الثاني، احتوي على عشرة براهين، تدور حول مراكز ثقل القطع المستقيمة المكافئية. وفقًا لبابوس الإسكندري، فإن عمل أرخميدس على الرافعات جعله يقول: «أعطني مكانًا أقف عليه، وسأحرك الكرة الأرضية» (بالإغريقية: δός μοί ποῦ στῶ καὶ κινῶ τὴν γῆν)‏، ولكن هناك حالة من الغموض حول سياق المقولة في المصادر القديمة الأخرى. (ar)
  • On the Equilibrium of Planes (Ancient Greek: Περὶ ἐπιπέδων ἱσορροπιῶν, romanized: perí epipédōn isorropiôn) is a treatise by Archimedes in two volumes. The first book contains a proof of the law of the lever and culminates with propositions on the centre of gravity of the triangle and the trapezium. The second book, which contains ten propositions, examines the centres of gravity of parabolic segments. According to Pappus of Alexandria, Archimedes' work on levers caused him to say: "Give me a place to stand on, and I will move the Earth" (Ancient Greek: δός μοί ποῦ στῶ καὶ κινῶ τὴν γῆν, romanized: dṓs moi poû stṓ kaí kinô tḗn gên), though other ancient testimonia are ambiguous regarding the context of the saying. (en)
  • Sull'equilibrio dei piani (in greco moderno: Περὶ ἐπιπέδων ἱσορροπιῶν) è un trattato di Archimede in due volumi. Il primo libro stabilisce la legge del guadagno meccanico delle leve e individua il centro di gravità del triangolo e del trapezio. Secondo Pappo d'Alessandria, lo studio delle leve spinse Archimede ad affermare: "Datemi un punto di appoggio, e sposterò la Terra". (in greco moderno: δῶς μοι πᾶ στῶ καὶ τὰν γᾶν κινάσω). Il secondo libro, che contiene dieci proposizioni, esamina i centri di gravità dei segmenti parabolici. (it)
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