Blancanus, Josephus, Sphaera mvndi, sev cosmographia demonstratiua , ac facile methodo tradita : in qua totius Mundi fabrica, vna cum nouis, Tychonis, Kepleri, Galilaei, aliorumq' ; Astronomorum adinuentis continentur ; Accessere I. Breuis introductio ad geographiam. II. Apparatus ad mathematicarum studium. III. Echometria, idest Geometrica tractatio de Echo. IV. Nouum instrumentum ad Horologia
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        <div xml:id="echoid-div461" type="section" level="1" n="349">
          <pb o="214" file="0236" n="241" rhead="APPARATVS"/>
        </div>
        <div xml:id="echoid-div462" type="section" level="1" n="350">
          <head xml:id="echoid-head368" style="it" xml:space="preserve">Mathematici studij promoti@. Pars quarta.</head>
          <head xml:id="echoid-head369" style="it" xml:space="preserve">Index operum quæ quidem extant, ſed nondum edita, aut ſi edita nondum latini@ate donata, v@
            <lb/>
          tum Mecænates, tum viri doctiea in lucem edere aut in latinum transferre non ſine
            <lb/>
          ipſorum gloria, & studioſorum vtilitate poſſint.</head>
          <p>
            <s xml:id="echoid-s18272" xml:space="preserve">EVclidis data noua indigent tranſlatione; </s>
            <s xml:id="echoid-s18273" xml:space="preserve">Maurolycus primum, poſtea Ioſephus Auria ea, vt ederent pa-
              <lb/>
            rauerant, ſed apud eorum hæredes adhuc latent. </s>
            <s xml:id="echoid-s18274" xml:space="preserve">Maurolyci liber de Figuris planis, & </s>
            <s xml:id="echoid-s18275" xml:space="preserve">ſolidis locum re-
              <lb/>
            plentibus. </s>
            <s xml:id="echoid-s18276" xml:space="preserve">Io:</s>
            <s xml:id="echoid-s18277" xml:space="preserve">de Regiomonte de ijſdem acutè ſcripſerat teſte Maurolyco. </s>
            <s xml:id="echoid-s18278" xml:space="preserve">Modus ſecandi Sphæram ad da-
              <lb/>
            tam rationem ex Dionyſodoro à Maurol. </s>
            <s xml:id="echoid-s18279" xml:space="preserve">tranſlatus. </s>
            <s xml:id="echoid-s18280" xml:space="preserve">Data Arithm. </s>
            <s xml:id="echoid-s18281" xml:space="preserve">Iordani, & </s>
            <s xml:id="echoid-s18282" xml:space="preserve">Maurolyci. </s>
            <s xml:id="echoid-s18283" xml:space="preserve">Euclidis Opti-
              <lb/>
            ca, & </s>
            <s xml:id="echoid-s18284" xml:space="preserve">Catoptrica à Maurolyco illuſtrata. </s>
            <s xml:id="echoid-s18285" xml:space="preserve">Ptolemæi Specula ab eodem expoſita. </s>
            <s xml:id="echoid-s18286" xml:space="preserve">Archimedes de Speculis
              <lb/>
            comburentibus ab eodem excultus. </s>
            <s xml:id="echoid-s18287" xml:space="preserve">Albategnij traditiones ab eodem expoſitæ. </s>
            <s xml:id="echoid-s18288" xml:space="preserve">Hęronis Spiritalia ab eo-
              <lb/>
            dem tranſlata. </s>
            <s xml:id="echoid-s18289" xml:space="preserve">Speculationes Mathematicæ eiuſdem. </s>
            <s xml:id="echoid-s18290" xml:space="preserve">Hæc omnia deſcripſi ex indice ante ipſius Coſmo-
              <lb/>
            graphiam, quæ apud eius hæredes adhuc aſſeruantur.</s>
            <s xml:id="echoid-s18291" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18292" xml:space="preserve">Qui vero ſequuntur continentur in præfatione Ioſephi Auriæ ad Theodoſium tripolitam de diebus, & </s>
            <s xml:id="echoid-s18293" xml:space="preserve">
              <lb/>
            noctibus. </s>
            <s xml:id="echoid-s18294" xml:space="preserve">Barlaam Monachi Arithm. </s>
            <s xml:id="echoid-s18295" xml:space="preserve">& </s>
            <s xml:id="echoid-s18296" xml:space="preserve">Logiſtices lib. </s>
            <s xml:id="echoid-s18297" xml:space="preserve">6. </s>
            <s xml:id="echoid-s18298" xml:space="preserve">erat apud Auriam. </s>
            <s xml:id="echoid-s18299" xml:space="preserve">Theonis Smirnæi de locis Ma-
              <lb/>
            thematicis apud Platonem, eiuſdem de Aſtronomia; </s>
            <s xml:id="echoid-s18300" xml:space="preserve">aſſeruatur Venetijs in Bibliotheca Card. </s>
            <s xml:id="echoid-s18301" xml:space="preserve">Beſſarionis.</s>
            <s xml:id="echoid-s18302" xml:space="preserve">
              <unsure/>
              <lb/>
            Logotheti expoſitio in Almageſtum. </s>
            <s xml:id="echoid-s18303" xml:space="preserve">Porfirij expoſitio in Harmonica Ptolemæi,|qui duo Græci aſſeruan-
              <lb/>
            tur in Vaticana, cum alijs nonnullis, vt videre eſt apud Auriam.</s>
            <s xml:id="echoid-s18304" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18305" xml:space="preserve">Qui ſequuntur ſunt in Bibliotheca Medicea lingua Arabica ſcripti: </s>
            <s xml:id="echoid-s18306" xml:space="preserve">Archimedes de Sectione circuli, eiuſ-
              <lb/>
            dem Lemmata. </s>
            <s xml:id="echoid-s18307" xml:space="preserve">Ariſtarcus de corporibus Luminoſis. </s>
            <s xml:id="echoid-s18308" xml:space="preserve">Ypſicles de Aſcenſionibus. </s>
            <s xml:id="echoid-s18309" xml:space="preserve">ThebitBen Cora rerum
              <lb/>
            ſelectarum. </s>
            <s xml:id="echoid-s18310" xml:space="preserve">Apollonij Conicorum lib. </s>
            <s xml:id="echoid-s18311" xml:space="preserve">8. </s>
            <s xml:id="echoid-s18312" xml:space="preserve">Mænelai de Figuris ſphæricis lib. </s>
            <s xml:id="echoid-s18313" xml:space="preserve">3. </s>
            <s xml:id="echoid-s18314" xml:space="preserve">Ben Muſa de Figuris planis,
              <lb/>
            & </s>
            <s xml:id="echoid-s18315" xml:space="preserve">ſphæricis, hactenus ex Auria. </s>
            <s xml:id="echoid-s18316" xml:space="preserve">Diophantis Arithmeticorum lib. </s>
            <s xml:id="echoid-s18317" xml:space="preserve">13. </s>
            <s xml:id="echoid-s18318" xml:space="preserve">ait Bombellus extare in Vaticana, quo-
              <lb/>
            rum ſex tantum editi ſunt: </s>
            <s xml:id="echoid-s18319" xml:space="preserve">ipſe quidem Diophantes pag. </s>
            <s xml:id="echoid-s18320" xml:space="preserve">7. </s>
            <s xml:id="echoid-s18321" xml:space="preserve">aſſe
              <unsure/>
            rit ſe lib. </s>
            <s xml:id="echoid-s18322" xml:space="preserve">13. </s>
            <s xml:id="echoid-s18323" xml:space="preserve">Arithm. </s>
            <s xml:id="echoid-s18324" xml:space="preserve">ſcribere. </s>
            <s xml:id="echoid-s18325" xml:space="preserve">Abifeldea Ara-
              <lb/>
            bs Geographus reperitur in Blbliotheca Palatina Hidelbergenſi, ex Iacobo Chriſtmano in Alfagranum. </s>
            <s xml:id="echoid-s18326" xml:space="preserve">Vl-
              <lb/>
            timò reſtant Theonis Alexandrini Græca commentaria in Ptolemęi magnam conſtructionem, edita quidẽ,
              <lb/>
            ſed nondum in latinum traſlata, quamuis multi eam tranſlationem ſint aggreſſi, & </s>
            <s xml:id="echoid-s18327" xml:space="preserve">multi etiam eam ſe maxi-
              <lb/>
            mè deſiderare ſcribant. </s>
            <s xml:id="echoid-s18328" xml:space="preserve">In alijs præterea Regum, ac Principum Biblioth. </s>
            <s xml:id="echoid-s18329" xml:space="preserve">non dubito reperiri alia complu-
              <lb/>
            ra, quæ deinceps à ſtudioſis ac benè mereri de omnibus litteratis cupientibus, in lucem prodibunt.</s>
            <s xml:id="echoid-s18330" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div463" type="section" level="1" n="351">
          <head xml:id="echoid-head370" style="it" xml:space="preserve">Alter Index, Operum, quæ temporis iniuria perierunt, vt recentiores, quod nonnulli iam præ-
            <lb/>
          stiterunt, ea reſtaurare, aut imi
            <unsure/>
          tari poſſint.</head>
          <p>
            <s xml:id="echoid-s18331" xml:space="preserve">HEron Alexandrinus de Aquaticis Horologijs, Barocius in Heronem. </s>
            <s xml:id="echoid-s18332" xml:space="preserve">ſequentes Authores accepimus
              <lb/>
            ex Proclo in Euclidem: </s>
            <s xml:id="echoid-s18333" xml:space="preserve">Eudemus de Angulo; </s>
            <s xml:id="echoid-s18334" xml:space="preserve">eiuſdem Geometricæ enarrationes. </s>
            <s xml:id="echoid-s18335" xml:space="preserve">Euclides de Falla
              <lb/>
            cijs eiuſdem Corollaria, idem de Reſolutione, quem Marinus Ghetaldus ſe reſtauraturum promiſſit. </s>
            <s xml:id="echoid-s18336" xml:space="preserve">idem
              <lb/>
            de Diuiſionibus, quem Bagdadinus reſtaurauit. </s>
            <s xml:id="echoid-s18337" xml:space="preserve">Ptolemæus demonſtrauit, quod à minoribus quam duo re-
              <lb/>
            cti productæ coincidant, quod P. </s>
            <s xml:id="echoid-s18338" xml:space="preserve">Glauius reſtaurauit ad decimum tertium pronunciatum Euclidis. </s>
            <s xml:id="echoid-s18339" xml:space="preserve">Geminus
              <lb/>
            de Ortu linearum ſpiralium, conchoidum, earumq; </s>
            <s xml:id="echoid-s18340" xml:space="preserve">paſſionibus. </s>
            <s xml:id="echoid-s18341" xml:space="preserve">Nichomedes de Lineis conchoidibus. </s>
            <s xml:id="echoid-s18342" xml:space="preserve">Hip-
              <lb/>
            pias de Lineis quadratricibus. </s>
            <s xml:id="echoid-s18343" xml:space="preserve">Perſeus de Lineis Spiricis. </s>
            <s xml:id="echoid-s18344" xml:space="preserve">Apollonius de Perturbaris proportionibus, de
              <lb/>
            Tactionibus, quem partim Vieta, partim Ghetaldus refecerunt.</s>
            <s xml:id="echoid-s18345" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18346" xml:space="preserve">Theodoſij Tripolitæ Delinationes ædium: </s>
            <s xml:id="echoid-s18347" xml:space="preserve">de Vere, ex Suida. </s>
            <s xml:id="echoid-s18348" xml:space="preserve">Comment. </s>
            <s xml:id="echoid-s18349" xml:space="preserve">in Archimedis Viaticum. </s>
            <s xml:id="echoid-s18350" xml:space="preserve">Ge-
              <lb/>
            mini Geometricæ narrationes, quas tanquam extantes citat Barocius in margine quarti libri Procli in Eu-
              <lb/>
            clidem. </s>
            <s xml:id="echoid-s18351" xml:space="preserve">eaſdem citat Heniſchius in Sphæram Procli.</s>
            <s xml:id="echoid-s18352" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18353" xml:space="preserve">Sequentes Authores accepimus ex Pappi collectionibus. </s>
            <s xml:id="echoid-s18354" xml:space="preserve">Archimedes de 13. </s>
            <s xml:id="echoid-s18355" xml:space="preserve">ſolidis à ſe inuentis æquian-
              <lb/>
            gulis, & </s>
            <s xml:id="echoid-s18356" xml:space="preserve">æquilaterit quidem polygonis, non autem ſimilibus contenta, pag. </s>
            <s xml:id="echoid-s18357" xml:space="preserve">83. </s>
            <s xml:id="echoid-s18358" xml:space="preserve">item de Libra, & </s>
            <s xml:id="echoid-s18359" xml:space="preserve">Viat
              <unsure/>
            icum
              <lb/>
            apud Auriam. </s>
            <s xml:id="echoid-s18360" xml:space="preserve">item de Sphæræ conſtructione.</s>
            <s xml:id="echoid-s18361" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18362" xml:space="preserve">Euclides de Reſolutione, de qua etiam Apollonius, & </s>
            <s xml:id="echoid-s18363" xml:space="preserve">Ariſtęus ſenior. </s>
            <s xml:id="echoid-s18364" xml:space="preserve">vide Pappum initio ſeptimi, & </s>
            <s xml:id="echoid-s18365" xml:space="preserve">no-
              <lb/>
            ſtra loca Mathematica Ariſt. </s>
            <s xml:id="echoid-s18366" xml:space="preserve">ad titulum Reſolutiuorum, & </s>
            <s xml:id="echoid-s18367" xml:space="preserve">intra iterum egemus. </s>
            <s xml:id="echoid-s18368" xml:space="preserve">hanc ſe reſtituturum rece-
              <lb/>
            pit Marinus Ghetaldus. </s>
            <s xml:id="echoid-s18369" xml:space="preserve">eiuſdem Poriſmata lib. </s>
            <s xml:id="echoid-s18370" xml:space="preserve">3. </s>
            <s xml:id="echoid-s18371" xml:space="preserve">& </s>
            <s xml:id="echoid-s18372" xml:space="preserve">delocis ad ſuperficiem libri duo Ariſtæi locorum ſoli-
              <lb/>
            dorum lib. </s>
            <s xml:id="echoid-s18373" xml:space="preserve">3. </s>
            <s xml:id="echoid-s18374" xml:space="preserve">Eratoſthenes de Medietatibus lib. </s>
            <s xml:id="echoid-s18375" xml:space="preserve">2. </s>
            <s xml:id="echoid-s18376" xml:space="preserve">vide Pappum lib. </s>
            <s xml:id="echoid-s18377" xml:space="preserve">7. </s>
            <s xml:id="echoid-s18378" xml:space="preserve">de ordine legendorum horum operũ.
              <lb/>
            </s>
            <s xml:id="echoid-s18379" xml:space="preserve">Geminus de Mathematicarum ordine. </s>
            <s xml:id="echoid-s18380" xml:space="preserve">Ptolemęi Mechanica, & </s>
            <s xml:id="echoid-s18381" xml:space="preserve">Momenta. </s>
            <s xml:id="echoid-s18382" xml:space="preserve">Heronis Alexandrini Barulcon,
              <lb/>
            ideſt, Onuſtrahens, & </s>
            <s xml:id="echoid-s18383" xml:space="preserve">Mechanica, in quibus de quinque facultatibus, Vecte, Libra, &</s>
            <s xml:id="echoid-s18384" xml:space="preserve">c. </s>
            <s xml:id="echoid-s18385" xml:space="preserve">quæ ſumma laude vi-
              <lb/>
            detur renouaſſe Marchio Guiduſubal
              <unsure/>
            dus. </s>
            <s xml:id="echoid-s18386" xml:space="preserve">idem de Rotulis, & </s>
            <s xml:id="echoid-s18387" xml:space="preserve">aliud in 40. </s>
            <s xml:id="echoid-s18388" xml:space="preserve">inuenta Archimedis.</s>
            <s xml:id="echoid-s18389" xml:space="preserve">|Pappus pro-
              <lb/>
            poſitione 10. </s>
            <s xml:id="echoid-s18390" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s18391" xml:space="preserve">8. </s>
            <s xml:id="echoid-s18392" xml:space="preserve">Erycemi Paradoxa. </s>
            <s xml:id="echoid-s18393" xml:space="preserve">Eratoſthenis Meſolabia, cuius fragmentum ext
              <unsure/>
            at in comment. </s>
            <s xml:id="echoid-s18394" xml:space="preserve">Eu-
              <lb/>
            tocij in Archimedem. </s>
            <s xml:id="echoid-s18395" xml:space="preserve">Demetrius Alexandrinus de linearibus aggreſſionibus pag. </s>
            <s xml:id="echoid-s18396" xml:space="preserve">61. </s>
            <s xml:id="echoid-s18397" xml:space="preserve">Philo Tianæus ex
              <lb/>
            implicatione πληκτοειδων, pag. </s>
            <s xml:id="echoid-s18398" xml:space="preserve">61. </s>
            <s xml:id="echoid-s18399" xml:space="preserve">Hi ex Pappo. </s>
            <s xml:id="echoid-s18400" xml:space="preserve">Tandem Democritus, & </s>
            <s xml:id="echoid-s18401" xml:space="preserve">Anaxagoras, vt refert Vitruuius
              <lb/>
            lib. </s>
            <s xml:id="echoid-s18402" xml:space="preserve">7. </s>
            <s xml:id="echoid-s18403" xml:space="preserve">de eadem re ſcripſerunt, quemadmodum oporteat ad aciem oculorum, radiorum extenſionem certo
              <lb/>
            loco, centro conſtituto, ad lineas ratione naturali reſpondere, vti de incerta re certæ imagines </s>
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