Benedetti, Giovanni Battista de
,
Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]
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facultas mihi non fuit. </
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<
s
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xml:space
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preserve
">Præterea, licet in his libris nonnullę inueniantur
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propoſitiones, quæ diſiunctam ab alijs habeant rationem, eæ non ſper-
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nendæ tamen ſunt, viam fortaſſe alicui aperient vlterius progrediendi.
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</
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>
<
s
xml:id
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xml:space
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">Quemadmodum enim, exempli gratia, ex ſub contraria coni ſectione,
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ſumpta poſtea fuit diuina illa Planisferijdelineation, quæ ſub Ptolomæi no-
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mine legitur, & ſicuti ex
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ref
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">penultima primi Euclidis</
ref
>
, quam Pythagoras
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excogitauit propè innumeræ pulchræ conſequentiæ in Aſtronomia, in
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Architectura, in
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type
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alijs ſcientijs deſumptæ ſunt, immo quemad-
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modum ex ſingulis propoſitionibus à noſtris maioribus excogitatis mul-
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ta egregia ſunt deducta, ita fortaſſe continget, vt ex mearum muentio-
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num aliqua,
<
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norm
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type
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in poſterum vtilitatis deſumatur. </
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<
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xml:id
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xml:space
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">Si quid verò, hic in-
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ueneris, quod tuo genio non arrideat, illa prudentiſſimi hominis ſen-
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tentia in mentem veniat. </
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<
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style
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">Quot capita, tot ſententiæ</
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, ac per raro con-
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tingere, vt idem omnibus probari, atque placere queat, & perdifficulter
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inueniri hominem cui placeant omnia quæ alteri ſatisfaciunt. </
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>
<
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xml:space
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">Nec te mo
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ueat, quodhęc Theoremata ſiue excogitationes non videas ordine illo di-
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ſpoſitas, quo collocari debere exiſtimaueris, tum in Arithmeticis, tum in
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cæteris. </
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>
<
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xml:space
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">Cum enim in huiuſmodi rebus ordo non ſit neceſſarr
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/>
us, vi-
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ſum eſt mihi poſſe me, ſine repræhenſione, illum negligere, cum ſpe-
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culationi, ſiue inuentioni preęcipuè adeo mihi incumbendum decreuerim
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vtin collocatione operam ponere, & tempus abſumere operæpretium
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non duxerim, quod idem in epiſtolarum collocatione feci, in quibus per-
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ſonarum ad quas ſcribo nullus ferè graduum ordo ſeruatus eſt, nec tem-
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poris, quo ſunt ſcriptæ, quæſitorum tantummodo ratione habita. </
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xml:space
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">Nec
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admirari quenquam velim, quod in ſpeculandis numerorum paſſioni-
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bus, figuris vtar geometricis, ita enim in
<
ref
id
="
ref-0002
">.2. libr.</
ref
>
fecit Euclides, qui mo-
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dus, eo magis mihi arridet, quo minus eſt abſtractus,
<
emph
style
="
it
">quoniam oportet in-
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telligentem phantaſmata ſpeculari</
emph
>
, cum pręterea perſpicuum ſit, diſcretum
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omne, ex continui diuiſione aliquo modo oriri, ſiue actu, ſiue potentia.
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</
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<
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xml:space
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">Deinde ſi forte meis in deinonſtrationibus tibi videbor aliquando bre-
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uior, illud in cauſa fuiſſe ſcias, quod ibi ad viros ſcribebam in his diſcipli-
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nis exercitatos, quibus ſatis fuit rem ſignificare. </
s
>
<
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xml:id
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xml:space
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preserve
">Libuit autem mihi om-
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nes voluminis Arithmetici propoſitiones potius vocabulo theorema-
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tum appellare, quam problematum, quia pars earum ſpeculatiua tan-
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tum mea eſt, & ſi ex varijs eiuſmodi propoſitionibus etiam operatiuam
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adinuenerim. </
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>
<
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xml:space
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">Quoniam verò multis in locis accidit, vt veritatis iudi-
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candæ cauſa neceſſe mihi fuerit quorundam ſententijs aduerſari nolim te </
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