DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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Sit portio ABC, qualis dicta eſt, & in ipſa planè inſcribatur recti
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linea figura AEFGBHIKC. portionis verò diameter ſit BD.
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dendum eſt, rectilineæ figuræ centrum grauitatiseſſe in linea BD.
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iũ
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gantur GH FI EK. quę ipſi AC, & inter ſe ęquidiſtantes
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erunt. </
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Quoniam enim
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lineæ GH FI EK bifariam ſunt à diame
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tro BD diuiſæ in punctis NML, trapezium AEKC duas
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habebit line as æquidiſtantes AC EK, quas bifariam diuidit
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DL, quare
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trapezii AEKC centrum grauitatis est in LD. at
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ob
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eandem cauſam
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trapezii EFIK centrum est in ML; trapezii verò
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FGHI centrum est in MN.
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lineæ enim LM MN bifariam
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diuidunt parallela latera EK FI GH,
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ſed & trianguli etiam
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GBH centrum grauitatis eſt in BN.
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quippè cùm BN ipſam
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GH bifariam diuidat.
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perſpicuum eſt totius rectilineæ figuræ
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AEFGBHIKC
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centrum grauitatis eſſe in linea BD.
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quod de
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monſtrare oportebat. </
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