DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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ABC. quare non eſt extra lineam AD. in ipſi igitur exiſtit.
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Quod
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demonitrare oportebat. </
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11.
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huius.
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ſexti.
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lemma.
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huius.
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<
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Inquit Archimedes
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linea igitur MN producta tranſibit per pun
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ctum H. quod eſſe non poteſt,
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nempè, vt non ipſamet linea MN,
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ſed eius pars, ſiuead M, ſiue ad N producta cum H conue
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nireoporteat. </
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<
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H tranſire debeat. </
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<
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">ita vt punctum H ſit inter puncta MN;
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hoc eſt in linea MN, & non in eius parte producta. </
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punctum H centrum eſt grauitatis totius trianguli ABC.
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punctum verò N centrum grauitatis magnitudinis ex
<
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triãgu
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lis EBD FDC compoſitę; at〈que〉 punctum M centrum gra
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uitatis parallelogrammi AEDF; oportet vt punctum H ita li
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neam diuidat MN; vt eius partes magnitudinibus permuta
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tim reſpondeant. </
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<
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vt magnitudo ex triangulis EBD FDC conſtans ad parallelo
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grammum AEDF. vt ex ſexta, & octaua huius propoſitione
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perſpicuum eſt. </
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<
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ret; vt ipſemet Atchimedes paulò ſuperiùs affirmauit; cùm in
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quit.
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ac propterea magnitudinis ex omnibus compoſitæ contrum grauita
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tis eſt in linea MN.
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& non dixit in eius parte producta. </
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ca vel del
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dum eſt verbum illud
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producta,
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tanquam ab aliquo
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additum, vel ideo tamen hoc dixiſſe voluit Archimedes, vt o
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ſtenderet lineam MN nullo modo (etiam ſi produceretur)
<
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H conuenire poſſe. </
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<
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<
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in quo rectæ lineæ ab angulis trianguli ad dimidia
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later a ductæ concurrunt. </
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