DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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portionem A ad C, quàm ED ad EF. Dico, vt magnitu
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dines ex diſtantijs ED EF æ〈que〉ponderent, maiori o
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pus eſſe magnitudine in F, quàm ſit magnitudo A;
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ita vt ipſi C in D æ〈que〉ponderare poſſit. </
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<
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ad EG, vt magnitudo A ad magnitudinem C.
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Deindefiat EK æqualis EG. exponaturquè altera ma
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gnitudo L ipſi A ęqualis. </
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<
s
id
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">Quoniam igitur minorem
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habet proportionem A ad C, quàm ED ad EF, &
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vt A ad C, ita ED ad EG; habebit ED ad
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EG minorem proportionem, quàm ad EF. ac
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EF minor eſt, quàm EG. quoniam ausem A ad C
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eſt, vt ED ad EG, commenſurabiles magnitudines
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AC ex diſtantijs ED EG æ〈que〉ponderabunt. </
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verò EK ſit æqualis EG, magnitudines AL æ
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quales ex diſtantis æqualibus EK EG ſimiliter æ〈que〉
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ponderabunt. </
s
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<
s
id
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N1260C
">At verò quoniam C in D æ〈que〉
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ponderat ipſi A in G, ſimiliter L in K eidem A in
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G ę〈que〉ponderat; ęqualem habebit grauitatem C in D,
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L in K. Ita〈que〉 quoniam diſtantia EG æqualis eſt diſtan
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tiæ Ek, longitudo EK maior erit longitudine EF. ergo
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magnitudines AL ęquales ex inæqualibus diſtantijs
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EF non ę〈que〉ponderabunt. </
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<
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get. </
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<
s
id
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">ſi igitur in F collocanda ſit magnitudo, quæ æ〈que〉pon
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deret ipſi L in K, proculdubiò hęc magnitudine A ma
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ior exiſtet. </
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<
s
id
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">Inæqualia enim grauia, nempè L, &
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do maior, quàm A, exinæqualibus diſtantijs EK EF æ
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〈que〉ponderant, dummodo maius, hoc eſt magnitudo maior,
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quàm A, ſit in diſtantia minori EF. minusverò, hoc eſt ma
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gnitudo L, ſit in minori EK. Quoniam ita〈que〉 magnitudo
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C in D eſt ę〈que〉grauis, vt L in K, magnitudo, quæ in F
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ipſi L in K æ〈que〉ponderat, eadem quo〈que〉 in F ipſi C in D
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æ〈que〉ponderabit maior verò magnitudo, quàm ſit A, in F ipſi
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L in K æ〈que〉ponderat, ergo maior magnitudo, quàm A in
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F, ipſi C in D æ〈que〉ponderabit. </
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<
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id
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tebat. </
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10.
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quinti.
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6.
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huius.
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<
expan
abbr
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cõm
">comm</
expan
>
. not.
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2.
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poſt bu
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ius.
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3.
<
emph
type
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huius.
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<
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id
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<
s
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">His cognitis poſſumus ad Archimedis demonſtrationem
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accedere. </
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