DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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eo ita diuiſa, vt HI ad IK ſit, vt ſolidum baſim habens qua
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dratum ex AF, altitudinem autem duplam ipſius DG cum
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AF ad ſolidum baſim habens quadratum ex DG, altitudinem
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verò duplam ipſius AF
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DG. quod demonſtrare oportebat. </
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1
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Arch de
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quad. </
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rab. </
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coni
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corum A
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poll.
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13.
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ſexti.
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3.
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Arch.de
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quad. </
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20.
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pilmi coni
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corum A
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poil.
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2.
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cor.
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20.
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ſexti.
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22.
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ſexti.
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37.
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vndeci
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mi.
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17.
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quinti.
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18.
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quinti.
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11.
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quinti.
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quinti.
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cor
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4.
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quin
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ti.
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22.
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quinti.
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18.
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quinti.
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cor.
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2.
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lem
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in
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13.
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pri
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mi huius.
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cor.
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4.
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quin
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ti.
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ex præce
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denti.
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8.
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buius.
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8.
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prim hu
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19.
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quinti.
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8
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prim.hu
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ius.
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<
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<
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<
s
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">In hoc Theoremate primùm obſeruanda occurrunt verba
<
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propoſitionis, quibus Archimedes pręcipit pottionem HK
<
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in I ita diuiſam eſſe oportere, vt HI ad IK eam habeat pro
<
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portionem, quam habet ſolidum baſim habens quadratum
<
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ex dimidia maioris baſis fruſti, altitudinem autem lineam æ
<
lb
/>
qualem vtri〈que〉 ſimul duplæ minoris baſis, & maiori ad ſoli
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/>
dum baſim habens quadratum ex dimidia minoris baſis fru
<
lb
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ſti, altitudinem autem lineam æqualem vtriſ〈que〉, duplæ ſcili
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cet baſis maioris, & minori. </
s
>
<
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id
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">hoc eſt ſit HI ad IK, vt ſolidum
<
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baſim habens quadratum ex AF, altitudinem verò lineam æ
<
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qualem duplæ ipſius DE cum AC ad ſolidum baſim habens
<
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/>
quadratum ex DG, altitudinem verò lineam æqualem
<
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abbr
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vtriq;
">vtri〈que〉</
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>
<
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ſimul duplæ ipſius AC, & ipſi DE. In conſtructione autem
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hunc propoſitionis locum explicans, & in pergreſſu totius
<
expan
abbr
="
de-mõſtrationis
">de
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monſtrationis</
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>
, inquit HI ad IK
<
expan
abbr
="
eã
">eam</
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>
debere proportionem habe
<
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/>
re, quam habet ſolidum baſim habens quadratum ex AF, alti
<
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tudinem verò lineam æqualem
<
expan
abbr
="
vtriq;
">vtri〈que〉</
expan
>
ſimul duplæ ipſius DG,
<
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& ipſi AF ad ſolidum baſim habens quadratum ex DG, al
<
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titudinem verò lineam æqualem vtri〈que〉 ſimul duplæ ipſius
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AF, & DG. Quoniam autem ſolida parallelepipeda (vt præ
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fata ſolida ſunt) in eadem baſi exiſtentia ita ſe habent interſe,
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vt corum altitudine; ſolidum, quod baſim habet quadratum
<
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ex AF, altitudinem autem duplam ipſius DE cum AC, du
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plum erit ſolidi baſim habentis quadratum ex AF, altitudi
<
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nem verò duplam ipſius DG cum AF. Nam hæc ſolida ean
<
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dem habent baſim, quadratum nempè ex AF; ipſorumquè
<
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alterum habet altitudinem duplam. </
s
>
<
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id
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">quia cùm ſit DE dupla
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ipſius DG, erit dupla ipſius DE dupla ipſius duplæ DG; </
s
>
</
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</
chap
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</
body
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</
text
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</
archimedes
>
