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-div622" type="section" level="3" n="25">
              <div xml:id="echoid-div626" type="letter" level="4" n="3">
                <p>
                  <s xml:id="echoid-s3938" xml:space="preserve">
                    <pb o="324" rhead="IO. BAPT. BENED." n="336" file="0336" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0336"/>
                    <var>t.d.</var>
                  imaginata, eſt ſua
                    <var>.D.F</var>
                  . </s>
                  <s xml:id="echoid-s3939" xml:space="preserve">Tertium deinde triangulum, quod in mea figura ter-
                    <lb/>
                  minatur ab
                    <var>.t.d.</var>
                  ab
                    <var>.f.d.</var>
                  & ab
                    <var>f.t.</var>
                  in ſua eſt triangulum
                    <var>.D.F.H.</var>
                  vnde mea
                    <var>.f.t.</var>
                  reſpon-
                    <lb/>
                  det ſuę
                    <var>.H.D.</var>
                  & mea
                    <var>.f.d.</var>
                  ſuæ
                    <var>.H.F.</var>
                  & mea
                    <var>.t.d.</var>
                  ſuę
                    <var>.D.F</var>
                  . </s>
                  <s xml:id="echoid-s3940" xml:space="preserve">Quartum autem triangulum
                    <lb/>
                    <var>f.t.e.</var>
                  in mea figura, reſpondet ſuo
                    <var>.H.D.I.</var>
                  & meum punctum
                    <var>.t.</var>
                  ſuo. </s>
                  <s xml:id="echoid-s3941" xml:space="preserve">D, Nunc triangu
                    <lb/>
                  lum rectangulum, quod dico ſeparatim conſtituere, eſt illud tertium dictum corre-
                    <lb/>
                  ſpondens ſuo
                    <var>.D.F.H.</var>
                  vt ipſe facit in
                    <reg norm="ſequenti" type="context">ſequẽti</reg>
                  figura, quod ipſe vocat
                    <var>.D.C.H.</var>
                  &
                    <reg norm="meus" type="simple">meꝰ</reg>
                    <unsure/>
                    <lb/>
                  radius
                    <var>.t.x.</var>
                  in ſua figura, ille eſt qui terminatur ab
                    <var>.D.</var>
                  & ab initio Tauri, & Virginis.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3942" xml:space="preserve">Et quamuis ego non ſcripſerim talem ſiguram, vt ipſe fecit, nihilominus ipſam
                    <lb/>
                  verbis deſcripſi eomet modo, & propterea dixi.</s>
                </p>
                <quote>
                  <s xml:id="echoid-s3943" xml:space="preserve">Quam
                    <reg norm="diuiſionem" type="context">diuiſionẽ</reg>
                  , ſi in triangulo ſeorſum deſcripto inuenire voluerimus, res erit
                    <lb/>
                  inuentu facillima, cum rectum angulum
                    <var>.f.t.d.</var>
                  (reſpondentem ſuo
                    <var>.H.D.C.</var>
                  ) prędicti
                    <lb/>
                  trianguli tertij ea ratione diuiſerimus, & c.</s>
                </quote>
                <p>
                  <s xml:id="echoid-s3944" xml:space="preserve">Quapropter Reuerendus Clauius non animaduertit meam rationem aliam non
                    <lb/>
                  eſſe, nec puncto longiorem ſua, cum eademmet ipſa ſit.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3945" xml:space="preserve">Citaui etiam Munſterum cap .30. eo quod in ea impreſſione, quam tunc prę mani
                    <lb/>
                  bus habui, vidi in ea figura, quam ipſe vocat fundamentum horologiorum, literam
                    <lb/>
                  c. poſitam eſſe loco
                    <var>.f.</var>
                  et
                    <var>.f.</var>
                  loco
                    <var>.c.</var>
                  quod cauſæ fuit, vt omnia mendoſa viderentur, re
                    <lb/>
                  centiores autem impreſſiones correctæ ſunt.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3946" xml:space="preserve">Rurſus alio in loco mihi accidit vt repręhenderim Alexandrum Piccolomineum
                    <lb/>
                  in libris de ſphęra, qui quidem dicebat eas figuras ſuperficiales, quæ paucioribus an
                    <lb/>
                  gulis circunſcriberentur, capaciores eſſe alijs, dummodo earum periphæriæ eſſent
                    <lb/>
                  æquales.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3947" xml:space="preserve">Nunc autem correctę ſunt eo in loco impreſſiones, & qui non viderit primas, pu-
                    <lb/>
                  tabit me immeritò ipſum repræhendere.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3948" xml:space="preserve">Idem etiam dico de eo capite ipſius Piccolominei, in ijſdem libris, vbi tractat de
                    <lb/>
                  modo, quo vſi ſunt antiqui ad diuidendum zodiacum in .12. ſigna, quod erat circa
                    <lb/>
                  finem quarti libri.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3949" xml:space="preserve">Nunc verò, in recentioribus impreſſionibus, illud caput poſitum non eſt. </s>
                  <s xml:id="echoid-s3950" xml:space="preserve">Impreſ
                    <lb/>
                  ſiones autem illæ, vbi talia dixit, duæ fuerunt, quarum prima erat anni .1540. ſecun
                    <lb/>
                  da verò .1552 Venetijs apud Andream Puteum.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3951" xml:space="preserve">Alius verò locus ipſius Reuerendi Clauij, contra meas repręhenſiones, eſt circa
                    <lb/>
                  finem pag .298. & circa .299. vbi ita ſcribit.</s>
                </p>
                <quote>
                  <s xml:id="echoid-s3952" xml:space="preserve">Ex his liquido conſtat, non rectè à Ioan. Baptiſta Benedicto in ſua gnomonica ca
                    <lb/>
                  pit .49. repręhendi hancrationem deſcribendi horologij declinantis, qua omnes fe-
                    <lb/>
                  rè alij ſcriptores vtuntur, quoniam, vt ex demonſtratione à nobis allata conſtat, re-
                    <lb/>
                  ctè per eam lineæ ho rarię in plano, quod à verticali declinat ducuntur. </s>
                  <s xml:id="echoid-s3953" xml:space="preserve">Modus au
                    <lb/>
                  tem quem eo loco pręſcribit differentem ab eo, quem nos tradidimus certus etiam
                    <lb/>
                  eſt, ſed nulla ratione noſtro contrarius, quia nos conſtituimus
                    <var>.D.E.F.</var>
                  angulum de-
                    <lb/>
                  clinationis plani à verticali circulo propriè dicto, ipſe autem loco huius anguli aſſu-
                    <lb/>
                  mit angulum declinationis eiuſdem plani à Meridiano circulo, vnde mirum non eſt
                    <lb/>
                  modum ipſius à noſtro diſcrepare. </s>
                  <s xml:id="echoid-s3954" xml:space="preserve">Quod ſi
                    <reg norm="conſtitueremus" type="context">cõſtitueremus</reg>
                    <var>.D.E.F.</var>
                  angulum decli-
                    <lb/>
                  natio nis plani à Meridiano, ut ipſe (quemadmodum forſitan ab alijs putauit fieri)
                    <lb/>
                  & in reliqua deſcriptione progrederemur, vt tradidimus, proculdubio
                    <reg norm="horologium" type="context">horologiũ</reg>
                    <lb/>
                  declinans perperam deſcriberetur, vt rectè docet.</s>
                </quote>
                <p>
                  <s xml:id="echoid-s3955" xml:space="preserve">Optimè ſcripſiſſet Reuerendus Clauius, ſi verum fuiſſet, quod antiqui ſumerent
                    <lb/>
                  declinationem ſuperius
                    <reg norm="dictam" type="context">dictã</reg>
                  à verticali propriè dicto, & non à meridiano. </s>
                  <s xml:id="echoid-s3956" xml:space="preserve">Sed ego
                    <lb/>
                  dico, authores à me citatos. capit .49. meę gnomonicę ſumere dictam declinatio- </s>
                </p>
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