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]

Table of contents

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[5.1.7. SEPTIMVM. Euclidis uerò undecima propoſitio.]
[5.1.8. OCTAVVM. εuclidis uerò duodecima propoſitio.]
[5.1.9. NONVM. Euclidis uero tertiadecima propoſitio.]
[5.1.10. DECIMVM.]
[5.1.11. VNDECIMVM.]
[5.1.12. DVODECIMVM.]
[5.2. None]
[5.2.1. THEOR.I. II. ET III.]
[5.2.2. THEOREM. IIII.]
[5.2.3. THEOR.V. ET VI.]
[5.2.4. THEOR. VII. VIII. IX.X. XI. XII. XIII.]
[5.2.5. THEOREM. XIIII.]
[5.2.6. THEOR. XV.]
[5.2.7. THEOREM. XVI.]
[5.2.8. THEOR. XVII.]
[5.2.9. THEOREM. XVIII.]
[5.2.10. THEOREM. XIX.]
[5.2.11. THEOREM. XX.]
[5.2.12. THEOREM. XXI.]
[5.2.13. THEOREM. XXII. XXIII.]
[6. PHYSICA, ET MATHEMATICA RESPONSA. FO. BAPTISTAE BεNεDICTI PATRITII Veneti, Philoſophi Mathematici.]
[6.1. None]
[6.2. None]
[6.3. None]
[6.4. None]
[6.5. None]
[6.6. None]
[6.7. None]
[6.8. None]
[6.9. None]
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EPISTOL AE.
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                <p>
                  <s xml:id="echoid-s3208" xml:space="preserve">
                    <pb o="255" rhead="EPISTOL AE." n="267" file="0267" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0267"/>
                  Cardanus in ſupradicto capite, multæ aliæ ſunt, cum corollarium primæ tertij Eu-
                    <lb/>
                  cli. ſit paſſio propria ipſius circuli, & idem dico de propoſitione .3. 4. 7. 8. 9. 11. 12.
                    <lb/>
                  13. 14. 15. 17. 18. 19. 20. 30. 31. ipſius tertij lib. nec non de .8. 9. ct .10. tertijdecimi, &
                    <lb/>
                  de prima .3. 4. 5. 6. et .7. quartidecimi eiuſdem. </s>
                  <s xml:id="echoid-s3209" xml:space="preserve">Idem infero de ea quod ſcrip ſi Ma
                    <lb/>
                  rio Nizzolio, Franciſco Vimercato, Franciſco Contareno, Angelo Agrimenſori, &
                    <lb/>
                  de alijs nonnullis à me excogitatis.</s>
                </p>
              </div>
            </div>
            <div xml:id="echoid-div509" type="section" level="3" n="6">
              <div xml:id="echoid-div509" type="letter" level="4" n="1">
                <head xml:id="echoid-head382" xml:space="preserve">DE FINE CORPORVM COELESTIVM,
                  <lb/>
                & eorum motu.</head>
                <head xml:id="echoid-head383" style="it" xml:space="preserve">Illuſtri vire, Philiberto Pingonio Sabaudo Cuſiacenſium
                  <lb/>
                Baroni.</head>
                <p>
                  <s xml:id="echoid-s3210" xml:space="preserve">CVm antea meo nomine Sebaſtianus noſter omnia ferè tibi retuliſſet, inter alia,
                    <lb/>
                  quæ relin quebantur tibi
                    <reg norm="dicenda" type="context">dicẽda</reg>
                  , hoc vnum erat, quod ſi abſque lumine ſupe-
                    <lb/>
                  riori, in quem finem facta fuerint corpora cœleſtia ſcire deſideras, & humanam ra-
                    <lb/>
                  tionem ſequi volueris, putandum tibi non erit ea ſolum effecta eſſe, vt tam vile cor
                    <lb/>
                  pus, vt eſt terra aquis irrigata, animalia, & plantas regant, cum ea corpora ſint diuina,
                    <lb/>
                  in numero incompręhenſibilia, maximis ma gnitudinibus, & motibus velocisfimis,
                    <lb/>
                  prædita, id etiam minus putabunt hij, qui opinionem Ariſtarchi Samij, & Nicolai
                    <lb/>
                  Copernici ſequuntur, quorum ratione fieri non poteſt, vt credant, eius, quod ex vni
                    <lb/>
                  uerſo reliquum eſt, alium finem non habere, quam regimen huius centri epicycli Lu
                    <lb/>
                  naris, vt illorum more loquar. </s>
                  <s xml:id="echoid-s3211" xml:space="preserve">
                    <reg norm="Quam" type="context">Quã</reg>
                  enim turpe eſſet ſi centra aliorum epicyclorum
                    <lb/>
                  planetarum tali regimine priuarentur, id quod nullo modo cum ratione conſentit,
                    <lb/>
                  ſi tam vera eſt ea opinio, quemadmodum
                    <reg norm="rationabiliorem" type="context">rationabiliorẽ</reg>
                  eam
                    <reg norm="exiſtimant" type="context">exiſtimãt</reg>
                  . </s>
                  <s xml:id="echoid-s3212" xml:space="preserve">
                    <reg norm="Neque" type="simple">Neq;</reg>
                  quid
                    <lb/>
                  quam valet opinio Ariſtotelis, qui corpora cœleſtia, ab ortu, & interitu libera eſſe
                    <lb/>
                  fentit. </s>
                  <s xml:id="echoid-s3213" xml:space="preserve">dicens ſuperioribus fęculis, à noſtris antiquis nullam vnquam animaduerſam
                    <lb/>
                  fuiſſe alterationem in cœlo, cum non videat ſi quis eſſet in cœlo,
                    <reg norm="neque" type="simple">neq;</reg>
                  etiam obſerua
                    <lb/>
                  re poſſet alterationes quæ in terra, & circa terram fiunt, quæ in partibus, & non in to
                    <lb/>
                  to ſpectantur: </s>
                  <s xml:id="echoid-s3214" xml:space="preserve">vnde etiam fieri poteſt, vt in cœlo ſint particulares alterationes,
                    <lb/>
                  quæ à nobis tamen, qui ab illis longè diſtamus, non compręhendantur, terra,
                    <reg norm="mareque" type="simple">mareq́;</reg>
                    <lb/>
                  (quamuis minimum reſpectu ipſius terræ) ratione totius ita ſe ſemper
                    <reg norm="habuerunt" type="context">habuerũt</reg>
                    <reg norm="quem" type="context">quẽ</reg>
                    <lb/>
                  admodum ſeſe habere corpora cœleſtia videmus, ſed alteratio, ratione tantum ali-
                    <lb/>
                  quarum minimarum partium quaſi inſenſibilium, ſi cum toto comparentur fit. </s>
                  <s xml:id="echoid-s3215" xml:space="preserve">Quis
                    <lb/>
                  enim ſcit, vt iam tibi dixi, quin, quemadmodum Luna circa terram voluitur,
                    <reg norm="ipſaque" type="simple">ipſaq́;</reg>
                    <lb/>
                  terra ſit veluti centrum epicycli maioris eiuſdem, vt Ariſtarchus Samius, & Nico-
                    <lb/>
                  laus Copernicus cenſuerunt; </s>
                  <s xml:id="echoid-s3216" xml:space="preserve">ſic etiam Saturnus, Iupiter, Mars, Venus,
                    <reg norm="atque" type="simple">atq;</reg>
                  Mercu
                    <lb/>
                  rius circa alia huiuſmodi corpora, huic terræ ſimilia, in orbem agantur, quaſi ſpecu-
                    <lb/>
                  la, lumen Solis ſuo centro ex reflexione, deferentia (fuppoſita dico vera illorum opi
                    <lb/>
                  nione)
                    <reg norm="Nollem" type="context">Nollẽ</reg>
                  tamen tibi è mente excidere, vt aliàs te monui,
                    <reg norm="quod" type="simple">ꝙ</reg>
                  ſi communis opinio
                    <lb/>
                  vera eſt, neceſſario
                    <reg norm="fatendum" type="context">fatendũ</reg>
                  ſit corpus ſolare,
                    <reg norm="dum" type="context">dũ</reg>
                  in æquatore reperitur moru diurno
                    <lb/>
                  quolibet horę minuto, magis
                    <reg norm="quam" type="context">quã</reg>
                    <reg norm="decem" type="context">decẽ</reg>
                  &
                    <reg norm="ſeptem" type="context">ſeptẽ</reg>
                  mille milliaria
                    <reg norm="peragere" type="simple">ꝑagere</reg>
                  , ideſt paulo mi
                    <lb/>
                  nus quam .18000. milliaria, Saturnum verò cum ſimiliter eſt in æquatore, eodem
                    <reg norm="tem- poris" type="context">tẽ-
                      <lb/>
                    poris</reg>
                  ſpatio, quaſi tercentamille milliaria Italica conficere, & ſic per gradus alia cor
                    <lb/>
                  pora velociora alijs moueri; </s>
                  <s xml:id="echoid-s3217" xml:space="preserve">quæ quidem omnia,
                    <reg norm="cum" type="context">cũ</reg>
                  ſimplici gyro terræ circa ſuum </s>
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