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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          <div xml:id="echoid-div477" type="chapter" level="2" n="6">
            <div xml:id="echoid-div576" type="section" level="3" n="18">
              <div xml:id="echoid-div576" type="letter" level="4" n="1">
                <pb o="298" rhead="IO. BAPT. BENED." n="310" file="0310" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0310"/>
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            <div xml:id="echoid-div579" type="section" level="3" n="19">
              <div xml:id="echoid-div579" type="letter" level="4" n="1">
                <head xml:id="echoid-head442" xml:space="preserve">DE PHILOSOPHIA MATHEMA TICA.</head>
                <head xml:id="echoid-head443" style="it" xml:space="preserve">Dominico Piſano.</head>
                <p>
                  <s xml:id="echoid-s3678" xml:space="preserve">SI omnia vno colore conſtarent, & corporum vmbræ à luminibus non di-
                    <lb/>
                  ſtinguerentur, neque diuerſitas ſitus, lumina, quæ veniunt ad oculum non al-
                    <lb/>
                  teraret; </s>
                  <s xml:id="echoid-s3679" xml:space="preserve">perinde eſſet, ac ſi eſſemus cœci. </s>
                  <s xml:id="echoid-s3680" xml:space="preserve">Miror quod cum in Ariſtotele ſis
                    <lb/>
                  verſatus, in tuis tamen ſcriptis philoſophum à Mathematico ſepares, quaſi mathe-
                    <lb/>
                  maticus non ſit adeò philoſophus, vt eſt naturalis, & metaphyſicus, cum multo ma
                    <lb/>
                  gis quam ij philoſophus ſit appellandus, ſi ad veritatem ſuarum concluſionum reſpi
                    <lb/>
                  ciamus. </s>
                  <s xml:id="echoid-s3681" xml:space="preserve">Verum
                    <reg norm="quidem" type="context">quidẽ</reg>
                  eſt, te in huiuſmodi errore
                    <reg norm="ſolum" type="context">ſolũ</reg>
                  non verſari; </s>
                  <s xml:id="echoid-s3682" xml:space="preserve">ſed grauius eſt,
                    <lb/>
                  quod cum vos videatis etiam res morales ſub philoſophię
                    <reg norm="appellationem" type="context">appellationẽ</reg>
                  cadere, non
                    <lb/>
                  animaduertatis diuinas ſcientias mathematicas etiam philoſophiæ nomine ornan-
                    <lb/>
                  das eſſe. </s>
                  <s xml:id="echoid-s3683" xml:space="preserve">Quod ſi eiuſdem nomen penitius conſiderare velimus, inueniemus aper-
                    <lb/>
                  tè, mathematico magisillud ipſum quàm cuilibet alio conuenire, cum nullus ex alijs
                    <lb/>
                  tam certo ſciat id quod affirmat quam mathematicus, neque aliquis ſit, qui in co-
                    <lb/>
                  gnitionis, & ſcientiæ cupiditatem magis ducatur, vt apertè patet, cum nec etiam ipſi
                    <lb/>
                  ſenſui det locum, neque aliquid præſupponat, quod non ſit ita verum & intellectui
                    <lb/>
                  notum, vt nulla quæuis porentia, illud eſſe falſum oſtendere queat. </s>
                  <s xml:id="echoid-s3684" xml:space="preserve">Sed quia
                    <lb/>
                  Græci, qui ad placitum nomina rebus impoſuerunt, voluerunt etiam, non ſolum
                    <lb/>
                  mathematica, ſed etiam naturalia, metaphyſica, & moralia, ſub communi philoſo-
                    <lb/>
                  phiæ nomine contineri. </s>
                  <s xml:id="echoid-s3685" xml:space="preserve">
                    <reg norm="Vtaunt" type="context">Vtaũt</reg>
                  tibi ſatisfaciam authoritate Ariſtotelis, quem tanto-
                    <lb/>
                  pere colis, primum conſidera, nunquam eum de philoſopho
                    <reg norm="mentionem" type="context">mẽtionem</reg>
                  facere quin
                    <lb/>
                  prius aperiat de quo philoſopho loquatur, atque hoc ſemper præſtat, exceptis qui-
                    <lb/>
                  buſdam locis, vt cap .2. lib. 4.
                    <reg norm="Metaphyſicorum" type="context">Metaphyſicorũ</reg>
                  , vbi de philoſopho in genere
                    <reg norm="loquens" type="context">loquẽs</reg>
                  ,
                    <lb/>
                  ait, proprium eſſe philoſophi. vt res omnes ſpeculetur atque hoc in principio quin
                    <lb/>
                  ti textus aſſerit, cum in quarto iam oſtenderit mathematicum eſſe philoſophum:
                    <lb/>
                  </s>
                  <s xml:id="echoid-s3686" xml:space="preserve">omitto quod in .2. textu ſecundi phyſicorum idem affirmet, æquum eſſe appellare
                    <lb/>
                  philoſophiam ſcientiam veritatis, & finem ſpeculatiuæ exiſtere veritatem. </s>
                  <s xml:id="echoid-s3687" xml:space="preserve">An non
                    <lb/>
                  idem in primo cap .6. metaphiſicæ philoſophiam ſpeculatiuam, mathematicis phy
                    <lb/>
                  ſicis & ſupernaturalibus rebus contineri? </s>
                  <s xml:id="echoid-s3688" xml:space="preserve">An non idem paulo inferius ſcribit phyſi-
                    <lb/>
                  cam primam futuram, ſi aliæ ſubſtantiæ quam naturales non reperirentur? </s>
                  <s xml:id="echoid-s3689" xml:space="preserve">conſidera
                    <lb/>
                  deinde quid dicat in fine tertij cap. lib. 11. quo loco nil clarius eſſe poteſt, lege etiam
                    <lb/>
                  quæ .6. cap. eiuſdem libri ab eodem adducuntur, & quæ in .8. cap .12. libri textu .44.
                    <lb/>
                  apertè ponuntur. </s>
                  <s xml:id="echoid-s3690" xml:space="preserve">Quod ſi hæc tibi non ſufficiunt, vereor ne tuus morbus deſpe-
                    <lb/>
                  ratus euadat.</s>
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              <div xml:id="echoid-div580" type="letter" level="4" n="2">
                <head xml:id="echoid-head444" style="it" xml:space="preserve">De imaginatione ſpecierum.</head>
                <head xml:id="echoid-head445" xml:space="preserve">AD EVNDEM.</head>
                <p>
                  <s xml:id="echoid-s3691" xml:space="preserve">QVod dixi domino Tadeo eſt, quod aliquas particularium ſpecies, perfectè &
                    <lb/>
                  integrè imaginari poſſumus, alias non item, id tibi melius exemplo innote-
                    <lb/>
                  ſc
                    <unsure/>
                  et. </s>
                  <s xml:id="echoid-s3692" xml:space="preserve">Proponatur tibi triangulus æquilaterus datæ magnitudinis,
                    <reg norm="datique" type="simple">datiq́;</reg>
                  coloris, hu
                    <lb/>
                  iuſmodi enim particularis, potes imaginatione tibi fingere integram ſpeciem, tota
                    <lb/>
                    <reg norm="lemque" type="simple">lemq́;</reg>
                  ei adæquatam, ſed ſi aliquam ſpeciem aliquando vniuerſaliorem imaginatio­ </s>
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