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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                <pb o="233" rhead="EPISTOL AE." n="245" file="0245" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0245"/>
                <p>
                  <s xml:id="echoid-s2884" xml:space="preserve">Debebat igitur author animaduerſionum non quaſi cæcus eæcos ſequi, ſed prius
                    <lb/>
                  laborare, vt certior fieret, an interuallum annorum .960. </s>
                  <s xml:id="echoid-s2885" xml:space="preserve">Verum eſſet.</s>
                </p>
                <p>
                  <s xml:id="echoid-s2886" xml:space="preserve">Sed peius eſt,
                    <reg norm="quod" type="simple">ꝙ</reg>
                  idem author paulo inferius citat coniunctiones horum duorum
                    <lb/>
                  planetarum anni .1493. et .1512. quas neſcio vnde ſumpſerit.</s>
                </p>
                <p>
                  <s xml:id="echoid-s2887" xml:space="preserve">Nam, etſi inter hos annos eſt interuallum annorum .19. tamen tantum abeſt, vt
                    <lb/>
                  coiuerint dictis annis, vt Saturnus anno .1493. ante finem Auguſti fuerit in .28. gra-
                    <lb/>
                  du Aquarij, Iupiter verò in .28. Leonis ex diametro oppoſiti. </s>
                  <s xml:id="echoid-s2888" xml:space="preserve">Et anno .1512. per to
                    <lb/>
                  tum menſem Iunium & Auguſtum, Saturnus fuerit in Libra, Iupiter verò in Ariete,
                    <lb/>
                  itaque inter ſe ſimiliter oppoſiti, & ſi perfecta oppoſitio non fuit poſtea niſi ad
                    <reg norm="finem" type="context">finẽ</reg>
                    <lb/>
                  Iunij ann .1513. & locus Monteregij ab eo citatus, vbi ait eum ponere coniunctio-
                    <lb/>
                  nem anni .1484. in gra .23. min .4. </s>
                  <s xml:id="echoid-s2889" xml:space="preserve">Scorpij, eſt mendoſus. </s>
                  <s xml:id="echoid-s2890" xml:space="preserve">Nam ipſe Montere gius po
                    <lb/>
                  nit dictam coniunctionem in mi .42. gra .24. non autem in min .4. ipſius gradus. </s>
                  <s xml:id="echoid-s2891" xml:space="preserve">Sed
                    <lb/>
                  hic error nullius eſt momenti, fortaſſe qui impræſſorum incuria irrepſit.</s>
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                <p>
                  <s xml:id="echoid-s2892" xml:space="preserve">Pergatur poſtea obſecro ad paginam .3. ipſarum Animaduerſionum, vbi hic co-
                    <lb/>
                  natur oſtendere calculatores non obſeruaſſe verum modum, ſic dicens.</s>
                </p>
                <quote>
                  <s xml:id="echoid-s2893" xml:space="preserve">Anno .1484. Nouembris .25. Saturno locum conſtituit Monteregius in grad .23.
                    <lb/>
                  min .4. Scorpij. </s>
                  <s xml:id="echoid-s2894" xml:space="preserve">Anno poſtmodum ſubſequenti qui eſt .1485. eundem in min .7. Sa-
                    <lb/>
                  gitarij collocat .21. Februarij die. </s>
                  <s xml:id="echoid-s2895" xml:space="preserve">
                    <reg norm="Interque" type="simple">Interq́;</reg>
                  tempora duo interſunt menſes dies .26.
                    <lb/>
                  </s>
                  <s xml:id="echoid-s2896" xml:space="preserve">At cum ex motus ſui natura Saturnus hoctemporis ſpacio gradus .4. non debeat
                    <reg norm="tran- ſcendere" type="context">trã-
                      <lb/>
                    ſcendere</reg>
                  , ſit tamen inter
                    <reg norm="vtrunque" type="simple">vtrunq;</reg>
                  tempus differentia graduum .7. minutorum .3. quæ
                    <lb/>
                  ratione ſui motus requirunt menſes .6. vt eos perficiat, conſtat pluſquam tribus men
                    <lb/>
                  ſibus fallere nos Saturnum.</s>
                </quote>
                <p>
                  <s xml:id="echoid-s2897" xml:space="preserve">Hic videre licet quam veram viam hic ſecutus ſit ad aperiendos errores Epheme
                    <lb/>
                  ridum, & miſeri Monteregij, qui Saturnum claudum facit tantum itineris conficere
                    <lb/>
                  tribus
                    <reg norm="menſibus" type="context">mẽſibus</reg>
                  ,
                    <reg norm="quantum" type="context context">quãtũ</reg>
                  vix confeciſſet
                    <reg norm="menſib" type="context">mẽſib</reg>
                  . ſex. </s>
                  <s xml:id="echoid-s2898" xml:space="preserve">Sed fortaſſe
                    <reg norm="ratiocinatur" type="simple">ratiocinat̃</reg>
                  hoc modo.</s>
                </p>
                <p>
                  <s xml:id="echoid-s2899" xml:space="preserve">Si motus naturalis Saturni facit vt circumeat totum cęlum annis .30. igitur menſi-
                    <lb/>
                  bus .30. conficiet duodecimam partem circuitus, cum menſes .30. ſint duodecima
                    <lb/>
                  pars annorum .30. & quia duodecima pars circuitus cęli intelligitur conſtare ex .30.
                    <lb/>
                  gradibus, igitur quilibet menſis poſtulabit gradum vnum. </s>
                  <s xml:id="echoid-s2900" xml:space="preserve">Ideo illi .6. aut .7. gradus
                    <lb/>
                  poſtulant tempus, amplius menſium ſex.</s>
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                <p>
                  <s xml:id="echoid-s2901" xml:space="preserve">Atque eiuſmodi mira ratiocinatio poteſt in .2. exemplo eius, inſcripto.</s>
                </p>
                <quote>
                  <s xml:id="echoid-s2902" xml:space="preserve">Deeodem ex eodem</s>
                </quote>
                <p>
                  <s xml:id="echoid-s2903" xml:space="preserve">Vbi miratur,
                    <reg norm="quod" type="simple">ꝙ</reg>
                  Monteregius faciat Saturnum ambulare gra .9. min .10. in menſi-
                    <lb/>
                  bus .7. & diebus .6. </s>
                  <s xml:id="echoid-s2904" xml:space="preserve">Ad quod iter Saturnc ſeni opus eſſet ſaltem menſibus .9. eius
                    <lb/>
                  iudicio.</s>
                </p>
                <p>
                  <s xml:id="echoid-s2905" xml:space="preserve">Sed ſi hoc miratur, quid dicturus fuiſſet, ſi animaduertiſſet, quod idem calculator
                    <lb/>
                  Monteregius facit Saturnum ambulare immo volare gra .9. min .48. non in 7. ſed in
                    <lb/>
                  2. menſibus cum dimidio, videlicet à .10. die Iunij vſque ad .26. Auguſti
                    <reg norm="eiuſdem" type="context">eiuſdẽ</reg>
                  an-
                    <lb/>
                  ni .1504.</s>
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                <p>
                  <s xml:id="echoid-s2906" xml:space="preserve">Quid ſi etiam animaduertiſſet
                    <reg norm="quod" type="simple">ꝙ</reg>
                  à .10. die Iunij ſupradicti vſque ad .16. Ianuarij
                    <lb/>
                  anni ſequentis, faciunt Saturnum, ſurſum, deorſum curſitare amplius gra .17. mi .54.
                    <lb/>
                  Imino ſi animaduertiſſet, quod anno .1524. </s>
                  <s xml:id="echoid-s2907" xml:space="preserve">Stoflerinus ab initio anni,
                    <reg norm="vſquem" type="context">vſquẽ</reg>
                  ad
                    <lb/>
                  medium Maium, ideſt menſib .4. cum dimidio, facit Saturnum ambulare gra .15. </s>
                  <s xml:id="echoid-s2908" xml:space="preserve">Pro
                    <lb/>
                  fectò ob has velocitates, eius iudicio, tam abſurdas, obſtupuiſſet.</s>
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                <p>
                  <s xml:id="echoid-s2909" xml:space="preserve">Vbi autem in tergo eiuſdem paginę ait, quod gradibus .13. min .42. reſpondent
                    <lb/>
                  menſes .19. errauit in calculo, nam ex eiuſmodi tempore ſecundum eius regulam ef- </s>
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