DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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[Figure 111]
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tra grauitatis habere; ac centra grauitatis MNOP intra pa
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rallelogramma exiſtere, quoniam parallelogramma
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fi
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guræ ad eaſdem partes concauæ. </
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<
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">quod quidem eodem modo
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ab Archimede in ſe〈que〉nti ſupponitur. </
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9.
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poſt hu
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ius.
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<
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">PROPOSITIO. IX.</
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">Omnis parallelogrammi centrum grauitatis
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eſt in recta linea, quæ oppoſita latera parallelo
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grammi bifariam diuiſa coniungit. </
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Sit parallelogrammum ABCD, linea verò EF bifariam diuidat la
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tera AB CD. Dico parallelogrammi ABCD centrum grauitatis eſſe
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in linea EF. Non ſit quidem, ſed, ſi fieri poteſt, ſit H. &
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ab ipſo
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">vſ〈que〉</
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ad lineam EF
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ducatur H
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æquidistansipſi AB. Diuiſa verò EB
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ſemper bifariam
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in G. rurſuſquè EG brfariam in K; idèquè
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ſemper fiat, tandem
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quædam relin〈que〉tur linea,
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putà EK,
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minor
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ipſa HI. Diuidaturquè vtra〈que〉 AE EB in partes
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AN NM
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LE GO OB
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ipſi EK æquales.
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quod quidem fieri poteſt, quia
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diuiſa eſt EB in partes ſemper ęquales.
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& ex
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his
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diuiſionum pun
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ctis ducantur
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NP MQ LR kS GT OV
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ipſi EF æquidistantes.
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diuiſum enim erit totum parallelogrammum in parallelogramma æqualia
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& ſimiliaipſi
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k
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F.
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cùm enim ſint parallelogrammorum baſes
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EL LM MN NA KG GO OB ipſi KE
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parallelo
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grammaquè in ijſdem ſint parallelis AB CD conſtituta;
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erunt parallelogramma æqualia. </
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">ſimilia verò, quoniam
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ſunt ęquiangula.
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Parallelogrammis igitur æqualibus, at〈que〉
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