DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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gulus FEL angulo BAK æqualis; & EFL ipſi ABK. Iun
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ganturquè GL LH. Dico L eſſe ſimiliter poſitum, vt K.
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Quoniam enim anguli BAK ABK ſunt angulis FEL EFL
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æquales, erit reliquus BKA ipſi FLE æqualis, eritquè ob ſi
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militudinem triangulorum KA ad AB, vt LE ad EF. eſt
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verò AB ad AD, vt EF ad EH propter ſimilitudinem fi
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gurarum, erit igitur ex æquali AK ad AD, vt LE ad EH,
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& quoniam angulus BAD angulo FEH eſt æqualis, & BAK
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ipſi FEL æqualis; erit & reliquus angulus KAD angulo
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LEH æqualis. </
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mile exiſtit, eodemquè modo oſtendetur BKG ſimile eſſe
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FLG, & KCD ipſi LGH. ex quibus conſtat angulos KBC
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LFG, KCB LGF, & huiuſmodi reliquos reliquis æquales eſſe.
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& ob id puncta KL in figuris ABCD EFGH eſſe ſimili
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ter poſita. </
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4
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ſexti.
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22
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quinti.
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ſexti.
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<
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">Ita〈que〉 demonſtrato dari poſſe puncta in figuris ſimiliter
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poſita, potuit ſanè Archimedes antecedens poſtulatum ſup
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ponere, nempè inæqualium, ſed ſimilium figurarum centra
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grauitatis eſſe ſimiliter poſita. </
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<
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rationi valde conſentaneum. </
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<
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centris grauitatum) triangulum ABK triangulo EFL ſimi
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le exiſtit; veluti BKC ipſi FLG. & reliqua reliquis. </
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<
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AK ad KB, ſic EL ad LF, ac permutando vt AK ad EL,
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ita BK ad FL. ſimiliter oſtendetur ita eſſe BK ad FL, vt
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KC ad LG, & KD ad LH. quare centra grauitatis KL </
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