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-div528" type="section" level="3" n="9">
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                <p>
                  <s xml:id="echoid-s3343" xml:space="preserve">
                    <pb o="268" rhead="IO. BAPT. BENDE." n="280" file="0280" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0280"/>
                  & boream, & vt melius dicam aliquem rhombum. </s>
                  <s xml:id="echoid-s3344" xml:space="preserve">Sed quomodo fieri poteſt, vt in-
                    <lb/>
                  ſula Iſlandiæ ſit ſub polo, eius tamen dies, & nox maior non ſit longior ſpatio
                    <reg norm="trium" type="context">triũ</reg>
                    <lb/>
                  menſium? </s>
                  <s xml:id="echoid-s3345" xml:space="preserve">vt ipſe pagina .62. in proęmio ſecundi lib. affirmat, quamuis hoc à Bordo
                    <lb/>
                  ne deſumat. </s>
                  <s xml:id="echoid-s3346" xml:space="preserve">In quo
                    <reg norm="vterque" type="simple">vterq;</reg>
                  fallitur,
                    <reg norm="ſentientes" type="context">ſentiẽtes</reg>
                  huiuſmodi diem ab ingreſſu Solis, in
                    <lb/>
                  principium geminorum incipere, & in egreſſu à Leone terminari, ideſt à .12. Maij ad
                    <lb/>
                  14. Auguſti, quaſi ſi ab æquatore finis Leonis ita declinaret, vt principium gemino-
                    <lb/>
                  rum, & finis Aquarij, vt initium Sagittarij, nam ratio poſtulat, tantum de-
                    <lb/>
                  clinari ab æquatore finem quantum initium diei, vbi maximus dies .24. horas ex
                    <lb/>
                  cedit, & ſic dico de noctibus: </s>
                  <s xml:id="echoid-s3347" xml:space="preserve">vnde in huiuſmodi regione, vbi per tres menſes conti
                    <lb/>
                  nuos Sol radios emittit, huiuſmodi dies à medietate Tauri incipit, & in medietate
                    <lb/>
                  Leonis terminatur, quæ quidem loca æqualem declinationem habent, & ſic nox
                    <lb/>
                  trium menſium incipit à medietate Scorpionis, & in medietate Aquarij, eadem ra-
                    <lb/>
                  tione finitur.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3348" xml:space="preserve">Septima verò pag.
                    <reg norm="idem" type="context">idẽ</reg>
                  ait, dies ſolſtitiales eſſe circa .24. Iunij. </s>
                  <s xml:id="echoid-s3349" xml:space="preserve">
                    <reg norm="quod" type="wordlist">Qđ</reg>
                  , an
                    <reg norm="tunc" type="context">tũc</reg>
                  eſſet
                    <reg norm="verum" type="context">verũ</reg>
                  ,
                    <lb/>
                  tu ipſe videto. </s>
                  <s xml:id="echoid-s3350" xml:space="preserve">Is præterca modus
                    <reg norm="quem" type="context">quẽ</reg>
                  ad
                    <reg norm="inueniendum" type="context context">inueniẽdũ</reg>
                    <reg norm="orientem" type="context">orientẽ</reg>
                  , &
                    <reg norm="occidentem" type="context">occidẽtem</reg>
                  præſcribit
                    <lb/>
                  in eodem proęmio pag .63. eſt tædioſus, cum ſemper expectare nos cogat æquino-
                    <lb/>
                  ctij tempus, cum alij modi reperiantur breuiores, qui in qualibet reuolutione primi
                    <lb/>
                  mobilis obſeruari poſſunt, quorum vnus erit mediante inuentione lineæ meridiane
                    <lb/>
                  orizontalis, eo modo, quo ſcriptum eſt ab antiquis mediante Sole, aut Luna, quæ
                    <lb/>
                  luminaria in quolibet alio loco,
                    <reg norm="præterquam" type="context">præterquã</reg>
                  ſub polo efficiunt, vt extremitas vmbræ
                    <lb/>
                  rectæ
                    <reg norm="gnomonum" type="context">gnomonũ</reg>
                    <reg norm="gyrum" type="context">gyrũ</reg>
                    <reg norm="oxigonium" type="context">oxigoniũ</reg>
                  , ſeu
                    <reg norm="eclipticum" type="context">eclipticũ</reg>
                  ducat, ideſt in ijs locis,
                    <reg norm="quorum" type="context">quorũ</reg>
                  zenit eſt
                    <lb/>
                  inter polum, & circulum arcticum, quemadmodum facit, vt alijs, exiſtentibus ipſis
                    <lb/>
                  luminaribus extra æquatorem, & circulos arcticos gyrum hyperbolicum reddant.
                    <lb/>
                  </s>
                  <s xml:id="echoid-s3351" xml:space="preserve">Sed id quod eidem Porcachio impoſſibile eſſe apud eos, qui habitant ſub polo vi-
                    <lb/>
                  detur, ideſt vt multis rationibus, vt ipſe dicit, fieri non poſſit, ut fiat immediata quę
                    <lb/>
                  dam, & ſubita mutatio à continuo die ad continuam noctem abſque eo quod ijs,
                    <lb/>
                  ſaltem ſemel conceſſa ſint dies, & nox terminata duodecim horarum, eſt magis ad
                    <lb/>
                  mirandum impoſſibile, quod imaginari poſſimus, nam neceſſarium eſſet, ut orizon-
                    <lb/>
                  habitatorum ſub polo ſecaret æquatorem contra id, quod ſuperius admiſerat, id-
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                  eſt
                    <reg norm="orizontem" type="context context">orizõtẽ</reg>
                  Biarmiæ, eſſe
                    <reg norm="eundem" type="context context">eũdẽ</reg>
                    <reg norm="cum" type="context">cũ</reg>
                  circulo æquinoctiali. </s>
                  <s xml:id="echoid-s3352" xml:space="preserve">Vide etiam quid is ab anti-
                    <lb/>
                  quis colligat, loquens de iis, quæ in inſula Taprobana ad finem pag .186. admirabi
                    <lb/>
                  lia ſunt, ſcribens eiuſdem inſulę habitatoribus, Lunam ſuper terram non apparere
                    <lb/>
                  ab octauo uſque ad decimumſextum diem: </s>
                  <s xml:id="echoid-s3353" xml:space="preserve">pręter quam, quod etiam ſcribit, in
                    <lb/>
                  eadem inſula, tramuntanam non uideri, quod falſum eſt, quia hæc à polo arctico
                    <lb/>
                  circiter quatuor gradibus diſtat noſtris temporibus. </s>
                  <s xml:id="echoid-s3354" xml:space="preserve">unde ab ijs qui ſunt ſub æqua-
                    <lb/>
                  tore, cum ea ſupra orizontem eſt, conſpici poteſt, cum ijſdem ſingulis diebus oria-
                    <lb/>
                  tur, & occidat. </s>
                  <s xml:id="echoid-s3355" xml:space="preserve">Idem etiam pro re admirabili ſcribit, uideri Canopum, qui à po-
                    <lb/>
                  lo antarctico plus quam quadraginta gradibus diſtat.</s>
                </p>
              </div>
              <div xml:id="echoid-div529" type="letter" level="4" n="2">
                <head xml:id="echoid-head400" style="it" xml:space="preserve">De erroribus Lucilli Philalthæi.</head>
                <head xml:id="echoid-head401" xml:space="preserve">AD EVNDEM.</head>
                <p>
                  <s xml:id="echoid-s3356" xml:space="preserve">QVod Lucillus Philalthęus tam eximius Mathematicus ſit, ut ipſum Anto-
                    <lb/>
                  nius Berga facit, ego quidem non uideo. </s>
                  <s xml:id="echoid-s3357" xml:space="preserve">In ſuis enim commentariis de
                    <lb/>
                  Cœlo, dicit primum, Pyramidem, quę inter corpora regularia primum locum tenet </s>
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