DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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erit ex æquali à primo ad vltimum ſpacium ACDB ad
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ſpaciũ
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CEFD, vt ſpacium GKLH ad ſpacium KMNL. quod
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demõ
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ſtrare oportebat. </
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11.
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ſexti.
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9.
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ſexti.
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22
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quinti.
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17.
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quinti.
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eſt
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4.
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ſexti
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17.
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quinti.
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cor.
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4.
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<
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ti.
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22.
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quinti
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ex
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11.
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type
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italics
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<
expan
abbr
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quĩ
">quim</
expan
>
<
lb
/>
ti.
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cor.
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type
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19.
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quinti.
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22.
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quinti
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ex
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1.
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ſexti.
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19.
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ſexti.
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type
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ex quinti.
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type
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<
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<
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cor.
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type
="
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4.
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emph
type
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<
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quī
">quim</
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<
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ti.
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22.
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quinti
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</
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<
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s
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<
expan
abbr
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Æquidiſtãtes
">Æquidiſtantes</
expan
>
verò lineę AB CD ita ſe habeant, vt æquidi
<
lb
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ſtantes EF GH, ſitquè maior AB, quàm CD, & EF, quam
<
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GH. & ſuper CD GH ſint triangula CDP GHR,
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expan
abbr
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ſintq́
">ſint〈que〉</
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>
; BDP
<
lb
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FHR rectæ lineæ, & vt BD ad DP, ita ſit FH ad HR.
<
expan
abbr
="
iunctisq́
">iunctis〈que〉</
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>
;
<
lb
/>
AC EG. Dico ſpacium ACDB ad
<
expan
abbr
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triangulũ
">triangulum</
expan
>
CDP ita eſſe, vt
<
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ſpacium EG HF ad triangulum GHR. </
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<
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">Eadem enim prorſus ratione productis AC EG, quæ cum
<
lb
/>
BP FR conueniant in OQ, oſtendetur ſpacium AD ad trian
<
lb
/>
gulum CDO ita eſſe, vt ſpacium EH ad triangulum
<
expan
abbr
="
GHq.
">GH〈que〉</
expan
>
&
<
lb
/>
eſſe OD ad DB, ut QH ad HF. & quoniam eſt BD ad DP, vt
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<
arrow.to.target
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FH ad HR, erit ex ęquali OD ad DP, vt QH ad HR. & vt OD
<
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ad DP, ita eſt triangulum CDO ad triangulum CDP, & vt
<
lb
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QH ad HR, ita triangulum GHQ ad GHR. cùm ita〈que〉 ſit
<
lb
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AD ad CDO, vt EH ad GHQ, & vt CDO ad CDP, ita
<
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/>
<
arrow.to.target
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GHQ ad GHR. ex æquali erit ſpacium AD ad triangulum
<
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CDP, vt ſpacium EH ad triangulum GHR. quod demonſtra
<
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re oportebat. </
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