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-div166" type="section" level="1" n="105">
          <pb o="78" file="0102" n="106" rhead="De Mundi Fabrica,"/>
        </div>
        <div xml:id="echoid-div168" type="section" level="1" n="106">
          <head xml:id="echoid-head116" style="it" xml:space="preserve">De quinta Tabula Aequationum Lunæ.</head>
          <p>
            <s xml:id="echoid-s8262" xml:space="preserve">HVius tabulæ titulus maximè conſiderandus eſt; </s>
            <s xml:id="echoid-s8263" xml:space="preserve">is enim nos admonet hanc tabulam non exhibere iuſtas
              <lb/>
            æquationes, niſi in nouilunijs, ac plenilunijs medijs, quod factum eſt, quoniam id plurimi refert in
              <lb/>
            prædicendis eclypſibus, quæ omnes in nouil. </s>
            <s xml:id="echoid-s8264" xml:space="preserve">aut plenil contingunt. </s>
            <s xml:id="echoid-s8265" xml:space="preserve">Porro ſciendum eſt has æquationes mi-
              <lb/>
            nores eſſe cæteris æquationibus, quæ extra nouiluna aut pleniluna contingunt. </s>
            <s xml:id="echoid-s8266" xml:space="preserve">adeo vtin Quadraturis ali-
              <lb/>
            quando æquationes maiores ſint noſtris æquation bus per gradus 2.</s>
            <s xml:id="echoid-s8267" xml:space="preserve">44′. </s>
            <s xml:id="echoid-s8268" xml:space="preserve">maxima enim æquatio aliquando ad
              <lb/>
            7. </s>
            <s xml:id="echoid-s8269" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s8270" xml:space="preserve">cum dimidio excreſcit. </s>
            <s xml:id="echoid-s8271" xml:space="preserve">ſciendum igitur noſtras æquationes extra nouiluna eſſe iuſto minores, & </s>
            <s xml:id="echoid-s8272" xml:space="preserve">qui-
              <lb/>
            dem aliquando per grad. </s>
            <s xml:id="echoid-s8273" xml:space="preserve">2.</s>
            <s xml:id="echoid-s8274" xml:space="preserve">44′.</s>
            <s xml:id="echoid-s8275" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8276" xml:space="preserve">Deinde cõſiderare oportet in figura pag. </s>
            <s xml:id="echoid-s8277" xml:space="preserve">69. </s>
            <s xml:id="echoid-s8278" xml:space="preserve">epicycli ſemicirculos, dexterum C D E. </s>
            <s xml:id="echoid-s8279" xml:space="preserve">& </s>
            <s xml:id="echoid-s8280" xml:space="preserve">ſiniſtrum C F E.
              <lb/>
            </s>
            <s xml:id="echoid-s8281" xml:space="preserve">qui ab apogæo, & </s>
            <s xml:id="echoid-s8282" xml:space="preserve">perigęo diſcriminatur. </s>
            <s xml:id="echoid-s8283" xml:space="preserve">in his duobus ſemicirculis, gradus, qui ab apogæo hinc inde æqua-
              <lb/>
            liter diſtant, ſortiuntur æquales æquationes. </s>
            <s xml:id="echoid-s8284" xml:space="preserve">v. </s>
            <s xml:id="echoid-s8285" xml:space="preserve">g. </s>
            <s xml:id="echoid-s8286" xml:space="preserve">gradus D. </s>
            <s xml:id="echoid-s8287" xml:space="preserve">& </s>
            <s xml:id="echoid-s8288" xml:space="preserve">gradus F. </s>
            <s xml:id="echoid-s8289" xml:space="preserve">æqualiter ab apogæo diſtantes, ha-
              <lb/>
            bebunt æquales æquationes in Zodiaco, quæ in figura ſunt N Q. </s>
            <s xml:id="echoid-s8290" xml:space="preserve">& </s>
            <s xml:id="echoid-s8291" xml:space="preserve">N P. </s>
            <s xml:id="echoid-s8292" xml:space="preserve">ſimiliter, & </s>
            <s xml:id="echoid-s8293" xml:space="preserve">reliqui gradus ab apo-
              <lb/>
            gæo æquidiſtantes. </s>
            <s xml:id="echoid-s8294" xml:space="preserve">vnde factum eſt vt in tabula eædem æquationes inſeruiant vtrique ſemicirculo; </s>
            <s xml:id="echoid-s8295" xml:space="preserve">& </s>
            <s xml:id="echoid-s8296" xml:space="preserve">ideo
              <lb/>
            in fronte Tabulæ ſunt 6. </s>
            <s xml:id="echoid-s8297" xml:space="preserve">ſigna occidentalis, ſeu dexteri ſemicirculi, in calce vero ſunt ſigna 6. </s>
            <s xml:id="echoid-s8298" xml:space="preserve">alterius ſemi-
              <lb/>
            circuli: </s>
            <s xml:id="echoid-s8299" xml:space="preserve">eo ordine vt ſigna æquidiſtantia ab apogæo ſint in eadem columna, vnum in fronte, alterum in pe-
              <lb/>
            de ſic prima columna inſeruit primo ſigno, & </s>
            <s xml:id="echoid-s8300" xml:space="preserve">duodecimo quę ab apogæo hinc inde pariter recedunt; </s>
            <s xml:id="echoid-s8301" xml:space="preserve">ſecun-
              <lb/>
            da verò columna inſeruit ſecundo, & </s>
            <s xml:id="echoid-s8302" xml:space="preserve">vndecimo ſigno; </s>
            <s xml:id="echoid-s8303" xml:space="preserve">ſen continent eorum æquationes: </s>
            <s xml:id="echoid-s8304" xml:space="preserve">& </s>
            <s xml:id="echoid-s8305" xml:space="preserve">ſic de reliquis,
              <lb/>
            vt conſideranti lectori conſtabit.</s>
            <s xml:id="echoid-s8306" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8307" xml:space="preserve">Præterea ſciendum eſt in priore ſemicirculo æquationes ſemper eſſe demẽdas à motu medio, vt verus ha-
              <lb/>
            beatur. </s>
            <s xml:id="echoid-s8308" xml:space="preserve">ſic exiſtente luna in O. </s>
            <s xml:id="echoid-s8309" xml:space="preserve">epicycli puncto, æquatio N M. </s>
            <s xml:id="echoid-s8310" xml:space="preserve">eſſet auferenda à medio motu, vt verus, qui eſ-
              <lb/>
            ſet in gradu M. </s>
            <s xml:id="echoid-s8311" xml:space="preserve">haberetur. </s>
            <s xml:id="echoid-s8312" xml:space="preserve">in ſecundo vero ſemicirculo æquationes ſunt medio motui addendæ, quia tunc
              <lb/>
            Luna magis diſtat ab æquinoctio, quàm epicycli centrum; </s>
            <s xml:id="echoid-s8313" xml:space="preserve">vt ſi Luna eſſet in F. </s>
            <s xml:id="echoid-s8314" xml:space="preserve">æquatio F N. </s>
            <s xml:id="echoid-s8315" xml:space="preserve">medio motui
              <lb/>
            eſſet addenda, vt verus haberetur. </s>
            <s xml:id="echoid-s8316" xml:space="preserve">Luna autem apogæa, aut perigęa exiſtente, nulla fit æquatio; </s>
            <s xml:id="echoid-s8317" xml:space="preserve">quia linea
              <lb/>
            medij, & </s>
            <s xml:id="echoid-s8318" xml:space="preserve">veri motus vniuntur. </s>
            <s xml:id="echoid-s8319" xml:space="preserve">in hac tabula numeri primæ ſeriei ſunt gradus ſignorum ſex ſuperiorum in
              <lb/>
            fronte tabulæ ſcriptorum: </s>
            <s xml:id="echoid-s8320" xml:space="preserve">numeri vero in vltima, ac dextera ſerie, ſunt gradus ſex ſignorum inferiorum in
              <lb/>
            calce tabulæ. </s>
            <s xml:id="echoid-s8321" xml:space="preserve">habet autem ſex æquationum columnas, & </s>
            <s xml:id="echoid-s8322" xml:space="preserve">quælibet earum inſeruit duobus ſignis, ideſt, conti-
              <lb/>
            net numeros, ſeu æquat ones duorum ſignorum æquidiſtantium ab apogæo. </s>
            <s xml:id="echoid-s8323" xml:space="preserve">Primum ſignum inſcribitur
              <lb/>
            charactere. </s>
            <s xml:id="echoid-s8324" xml:space="preserve">o. </s>
            <s xml:id="echoid-s8325" xml:space="preserve">in fronte primæ columnæ, quia nondum eſt completum, niſi poſt gradus 30. </s>
            <s xml:id="echoid-s8326" xml:space="preserve">numeri vero in
              <lb/>
            ipſa columna ſunt æquationes reſpondentes gradibus primi ſigni, nec non duodecimi. </s>
            <s xml:id="echoid-s8327" xml:space="preserve">Secundæ columnæ
              <lb/>
            inſcribitur 1. </s>
            <s xml:id="echoid-s8328" xml:space="preserve">hoc eſt ſignum vnum iam completum in prima columna: </s>
            <s xml:id="echoid-s8329" xml:space="preserve">eſt tamen columna hæc ſecundi ſigni
              <lb/>
            nondum completi. </s>
            <s xml:id="echoid-s8330" xml:space="preserve">ſic reliqui numeri titulares ſig nificant ſigna iam completa in præcedenti columna, & </s>
            <s xml:id="echoid-s8331" xml:space="preserve">
              <lb/>
            columna ſub eis pertinet ad ſignum ſequentis numeri. </s>
            <s xml:id="echoid-s8332" xml:space="preserve">v. </s>
            <s xml:id="echoid-s8333" xml:space="preserve">g. </s>
            <s xml:id="echoid-s8334" xml:space="preserve">numerus 2. </s>
            <s xml:id="echoid-s8335" xml:space="preserve">ſupra tertiam columnam ſignificat
              <lb/>
            duo ſigna iam completa cum ſuis æquationibus, in præcedentibus duabus columnis; </s>
            <s xml:id="echoid-s8336" xml:space="preserve">columnam vero ſub iſto
              <lb/>
            2. </s>
            <s xml:id="echoid-s8337" xml:space="preserve">eſſe columnam æquationum ſigni tertij cuius gradus ſunt in prima ſerie; </s>
            <s xml:id="echoid-s8338" xml:space="preserve">& </s>
            <s xml:id="echoid-s8339" xml:space="preserve">finitur iſtud ſignum tertium
              <lb/>
            in fine tertiæ columnæ è regione gradus 30. </s>
            <s xml:id="echoid-s8340" xml:space="preserve">idem dicendum deſignis 6. </s>
            <s xml:id="echoid-s8341" xml:space="preserve">inferioribus reliqua vſus, & </s>
            <s xml:id="echoid-s8342" xml:space="preserve">exem-
              <lb/>
            pla docebunt.</s>
            <s xml:id="echoid-s8343" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div169" type="section" level="1" n="107">
          <head xml:id="echoid-head117" style="it" xml:space="preserve">De ſexta Tabula latitudinis Lunæ.</head>
          <p>
            <s xml:id="echoid-s8344" xml:space="preserve">CIrca Tabulam latitudinis @, ſcias ſigna inſcripta, eſſe ſigna motus @, in latitudinem; </s>
            <s xml:id="echoid-s8345" xml:space="preserve">numeros vero in
              <lb/>
            columnis grad. </s>
            <s xml:id="echoid-s8346" xml:space="preserve">& </s>
            <s xml:id="echoid-s8347" xml:space="preserve">min: </s>
            <s xml:id="echoid-s8348" xml:space="preserve">eſſe latitudines @, ab eclyptica. </s>
            <s xml:id="echoid-s8349" xml:space="preserve">reliqua ex dictis de alijs tabulis diligens lector
              <lb/>
            percipiet. </s>
            <s xml:id="echoid-s8350" xml:space="preserve">Neque me latet Tychonem paulo diuerſam latitudinis lunaris Tabulam exhibere, ſed hæc noſtra,
              <lb/>
            noſtro inſtituto, accommodatior eſt.</s>
            <s xml:id="echoid-s8351" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
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