Cardano, Girolamo
,
De subtilitate
,
1663
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archimedes
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s.012193
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627
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progredientur: ſimileſque numeri è regione
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lb
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conſcribi debent, ſeu prioris libri, ſeu primæ
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additionis loco, cui additio conuenit. </
s
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<
s
id
="
s.012194
">Atque
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ita ſi tertiò, vel etiam quartò addere noua
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conueniat, abſque labore, & confuſione vlla,
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ex tertio, quartóve millenario inchoabis ad
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ditionem. </
s
>
<
s
id
="
s.012195
">Nec ſecùs facies, quàm in prima
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lb
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atque ſecunda. </
s
>
<
s
id
="
s.012196
">Quo profecto opere, ſi velis
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lb
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aut legere, aut totam congeriem ex ordine
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lb
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tranſcribere, ſuſcepto primo codice tamdiu
<
lb
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abſque cura leges, donec numerus occurrat.
<
lb
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</
s
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<
s
id
="
s.012197
">Is cùm occurrit, ſi ſit 1. prima additio primi
<
lb
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ſupplementi legenda eſt. </
s
>
<
s
id
="
s.012198
">Si ſit 1001. prima
<
lb
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additio ſecundi ſupplementi in manibus ſu
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lb
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menda eſt. </
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>
<
s
id
="
s.012199
">Sin 2001. prima additio tertij
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lb
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ſupplementi. </
s
>
<
s
id
="
s.012200
">Quòd ſi inter legendum hanc
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lb
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gratia exempli, è regione inueneris 1002.
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lb
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tunc ſecunda additio ſecundi ſupplementi
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illi ſubſequi debet. </
s
>
<
s
id
="
s.012201
">Atque ita abſque impe
<
lb
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dimento vllo quotquot additionum ſupple
<
lb
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menta, vnum poſt alterum, & abſque confu
<
lb
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ſione in ordinem rediges, redactaque legere
<
lb
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cum voluptate poteris. </
s
>
<
s
id
="
s.012202
">Verùm in his for
<
lb
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ſan, noctis Indicis numerorum commodiùs
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lb
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fuerit vti, quàm antiquis. </
s
>
<
s
id
="
s.012203
">Inueni & modum
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lb
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explorandorum, caſtigandorumque plurium
<
lb
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ſimul exemplarium, quæ tamen eadem ſerie
<
lb
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alteram, ſcilicet ex altero deſcripta ſint, vno
<
lb
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quoque auditore opus eſt. </
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>
<
s
id
="
s.012204
">Vltimum ergo
<
lb
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cum primo conferes: ſi res ſe habet, omnia
<
lb
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intermedia rectè habent. </
s
>
<
s
id
="
s.012205
">Sin error adſit, re
<
lb
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grediaris verſus primum ex poſtremis ſin
<
lb
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gula emendando, donec ad illud deueneris,
<
lb
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quod cum primo conuenerit. </
s
>
<
s
id
="
s.012206
">Vt verò nobi
<
lb
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lius eſt hoc genus, ita vtilius quod ſubſequi
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lb
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tur: quod quantum mihi contulerit ad
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lb
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obſeruationem eorum, quæ legebam, non
<
lb
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eſt quòd dicere poſſim. </
s
>
<
s
id
="
s.012207
">Poterat ſanè huius
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lb
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inuenti autor ſilentio præteriri, quando
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lb
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quidem neſciam, an illis totis tribus li
<
lb
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bris, quos de Occulta philoſophia conſcri
<
lb
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pſit, quicquam aliud veri ſit, adeò illum
<
lb
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inſaniſſe, dum hæc ſcriberet exiſtimo:
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lb
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longè magis, quàm in Danorum hiſtoria,
<
lb
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qui illam totam fabulis plenam conſcripſit
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lb
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Saxo Grammaticus neſcio quis. </
s
>
<
s
id
="
s.012208
">Sed tamen
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lb
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neminem propriis inuentis fraudari velim.
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lb
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</
s
>
<
s
id
="
s.012209
">Ille Cornelius Agrippa tot cum prænomi
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lb
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nibus, huius ſubtilitatis autor eſt. </
s
>
<
s
id
="
s.012210
">Quan
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arrow.to.target
n
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quam nec in hoc ad vnguem illum ſim
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ſecutus, quòd non magis hac in re, quàm
<
lb
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cæteris diligens fuerit. </
s
>
<
s
id
="
s.012211
">Ea autem eſt ratio,
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lb
/>
quæ potiùs tabella præ oculis poſita, quem
<
lb
/>
longa oratione, ſit explicanda. </
s
>
<
s
id
="
s.012212
">Sit gratia
<
lb
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exempli, vt velim 5572. ita deſcribam. </
s
>
<
s
id
="
s.012213
">Et
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lb
/>
ſi vellem 7240. deſcribam, vt à latere vi
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des. </
s
>
<
s
id
="
s.012214
">Quòd ſi velim 12509. ſcribam primò
<
lb
/>
9000. figura propria, inde ducta tranſuerſa,
<
lb
/>
quæ 3000. ſignificat, habebo 12000. cui
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addam 509. & habebo figuram, quam à la
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tere vides. </
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Additiones
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libris alter
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poſt alteram
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quomodo
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fiant.</
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<
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Quomodo
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vngue nu
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meri omnes
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<
expan
abbr
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abſq;
">abſque</
expan
>
25000
<
lb
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fermè ſcribi
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poſſint.</
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>
</
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<
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type
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<
s
id
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s.012217
">Quòd ſi vellem 25553. qui
<
lb
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eſt maximus abſque confuſio
<
lb
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ne hîc poſſit ſcribi, ſic vt
<
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eum vltimò depinxi, habe
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bis. </
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<
s
id
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s.012218
">Singulæ enim partes col
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ligunt 23. vnde ſi aggregen
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<
figure
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xlink:href
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number
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tur, vt hîc à latere vides, is conficietur nu
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merus. </
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</
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id
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number
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<
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type
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">
<
s
id
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s.012219
">5572</
s
>
</
p
>
<
figure
id
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id.016.01.274.3.jpg
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xlink:href
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number
="
134
"/>
<
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type
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caption
">
<
s
id
="
s.012220
">7240</
s
>
</
p
>
<
figure
id
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id.016.01.274.4.jpg
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xlink:href
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number
="
135
"/>
<
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type
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<
s
id
="
s.012221
">12529</
s
>
</
p
>
<
figure
id
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id.016.01.274.5.jpg
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xlink:href
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number
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<
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type
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<
s
id
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s.012222
">25553</
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>
</
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<
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type
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main
">
<
s
id
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s.012223
">Licebit & facilius productis figuris ex
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lb
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tranſuerſa linea ſic
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id
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xlink:href
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number
="
137
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totidem adiicere
<
lb
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numerorum incrementa, vt vltima figura,
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lb
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quæ eſt
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xlink:href
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number
="
138
"/>
ſignificet 9000000. </
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>
</
p
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p
type
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<
s
id
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s.012224
">Et rurſus per tranſuerſas ad dextram qui
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dem. </
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</
p
>
<
figure
id
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<
p
type
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main
">
<
s
id
="
s.012225
">Et ita quemlibet maximum numerum
<
lb
/>
atque confuſione ſolo vngue declarare poſ
<
lb
/>
ſum, rectiſque lineis. </
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.012226
">Sed Agrippa vix decem aut viginti mil
<
lb
/>
lia attingit, atque hos numeros, & labo
<
lb
/>
riosè, & confusè ſatis. </
s
>
<
s
id
="
s.012227
">Id tamen ei de
<
lb
/>
bemus. </
s
>
</
p
>
<
p
type
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main
">
<
s
id
="
s.012228
">Non defuere qui cæcos ſcribere ſic doce
<
lb
/>
<
arrow.to.target
n
="
marg1672
"/>
<
lb
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rent. </
s
>
<
s
id
="
s.012229
">Tabula ænea cauis literis ordine al
<
lb
/>
phabeti cælatur, in ea cæcus ſtylum per
<
lb
/>
ſingula deducit elementa, memoria tenens
<
lb
/>
illorum ordinem donec longa edoctus con
<
lb
/>
ſuetudine calamo diſcat eadem exarare.
<
lb
/>
</
s
>
<
s
id
="
s.012230
">Refert Eraſmus, aliquot; etſi magno la
<
lb
/>
bore, rectè tamen ſic ſcribere didiciſſet.
<
lb
/>
</
s
>
<
s
id
="
s.012231
">Indiget res hæc aſſiduo monitore, longa
<
lb
/>
<
arrow.to.target
n
="
marg1673
"/>
<
lb
/>
que conſuetudine. </
s
>
<
s
id
="
s.012232
">Et quando ſtylus præa
<
lb
/>
cutus fuerit, & litura tenuis, eò facilius
<
lb
/>
ac melius diſcunt. </
s
>
<
s
id
="
s.012233
">Res prorſus mira, ſed
<
lb
/>
minùs vtilis. </
s
>
<
s
id
="
s.012234
">Cuius exemplo vidiſſe quen
<
lb
/>
dam memini me, qui cùm brachiis om
<
lb
/>
ninò careret, dextro pede haſtam vibra
<
lb
/>
bat, collimabatque, ſuebat veſtem, ede
<
lb
/>
bat, ſcribebat, in acum filum immitebat.
<
lb
/>
</
s
>
<
s
id
="
s.012235
">Nec tanti miraculi defuturos teſtes ſpero:
<
lb
/>
cùm res publicè ageretur. </
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>
</
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<
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Quomodo
<
lb
/>
cæcus ſcribe
<
lb
/>
re doceri
<
lb
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poſſit.</
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>
</
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<
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">
<
s
id
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">
<
margin.target
id
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Manibus &
<
lb
/>
brachiis ca
<
lb
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rens cuncta
<
lb
/>
agebat.</
s
>
</
p
>
<
p
type
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main
">
<
s
id
="
s.012238
">Verùm ad machinas redeo: fit inſtru
<
lb
/>
<
arrow.to.target
n
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marg1674
"/>
<
lb
/>
mentum, cui ſi te manibus ſubſpenderis,
<
lb
/>
dum trahis, vehementiùs traheris. </
s
>
<
s
id
="
s.012239
">Con
<
lb
/>
ſtat hoc modo: AB, pauimentum ſuperiùs:
<
lb
/>
initium trahentis funis C, DE, verò lignum
<
lb
/>
ferrumve inclinatum ſumma vi, cui CD, fu
<
lb
/>
nis annectitur, DF, verò lignum quòd
<
lb
/>
ſubiacet laquearibus, prohibetque ED. re
<
lb
/>
uerti: ipſi verò FD. appendatur pondus GF, </
s
>
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</
chap
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</
body
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</
text
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</
archimedes
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