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-div273" type="section" level="1" n="186">
          <p>
            <s xml:id="echoid-s12617" xml:space="preserve">
              <pb o="135" file="0157" n="162" rhead="Liber Vndecimus."/>
            attenta inſpectione reperies minutorum 2 {1/6}. </s>
            <s xml:id="echoid-s12618" xml:space="preserve">iuxta Tychonicas obſeruationes. </s>
            <s xml:id="echoid-s12619" xml:space="preserve">iam ex apparatu noſtræ ſphæ-
              <lb/>
            ræ, conſtrue triangulum Iſoſceles, cuius duo latera æqualia efficiant angulum min. </s>
            <s xml:id="echoid-s12620" xml:space="preserve">2 {6/1}. </s>
            <s xml:id="echoid-s12621" xml:space="preserve">eorumque longitudo
              <lb/>
            c
              <unsure/>
            ontinear particulas 1142. </s>
            <s xml:id="echoid-s12622" xml:space="preserve">quæ referunt terræ diametros conflantes eius diſtantiam, vt in ſ
              <unsure/>
            igura vides. </s>
            <s xml:id="echoid-s12623" xml:space="preserve">baſis
              <lb/>
            eius B C. </s>
            <s xml:id="echoid-s12624" xml:space="preserve">refert diametrũ Mercurij min. </s>
            <s xml:id="echoid-s12625" xml:space="preserve">2 {1/6}.
              <lb/>
            </s>
            <s xml:id="echoid-s12626" xml:space="preserve">
              <figure xlink:label="fig-0157-01" xlink:href="fig-0157-01a" number="95">
                <image file="0157-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0157-01"/>
              </figure>
            practicè igitur per circinum, & </s>
            <s xml:id="echoid-s12627" xml:space="preserve">accuratè ex-
              <lb/>
            perire quam rationem habeat baſis B C. </s>
            <s xml:id="echoid-s12628" xml:space="preserve">ad
              <lb/>
            ad vnam ex particulis laterũ, quæ refert dia-
              <lb/>
            metrum terræ: </s>
            <s xml:id="echoid-s12629" xml:space="preserve">quam rationem reperies eſſe
              <lb/>
            vti 3. </s>
            <s xml:id="echoid-s12630" xml:space="preserve">ad 8. </s>
            <s xml:id="echoid-s12631" xml:space="preserve">hæc antem ratio triplicata, vt alias
              <lb/>
            docuimus, dabit etiam ſphærarum proportionem, quæ erit vt 1. </s>
            <s xml:id="echoid-s12632" xml:space="preserve">ad 19. </s>
            <s xml:id="echoid-s12633" xml:space="preserve">ferè; </s>
            <s xml:id="echoid-s12634" xml:space="preserve">Quare Mercurius vnde
              <unsure/>
            uicies a
              <unsure/>
              <lb/>
            terra continetur. </s>
            <s xml:id="echoid-s12635" xml:space="preserve">ſic
              <unsure/>
            autem facilè habebimus triplicatam rationem quorumlibet duorum numerorum, multi-
              <lb/>
            plicando videlicet vtrumq; </s>
            <s xml:id="echoid-s12636" xml:space="preserve">cubicè, cubi enim numeri ſunt in triplicata proportione ſuorum laterum per 12.
              <lb/>
            </s>
            <s xml:id="echoid-s12637" xml:space="preserve">octaui elementorum: </s>
            <s xml:id="echoid-s12638" xml:space="preserve">multiplicare autem numerum cubicè fit multiplicando ipſum per ſeipſum, & </s>
            <s xml:id="echoid-s12639" xml:space="preserve">produ-
              <lb/>
            ctum rurſus per eundem datum numerum, v.</s>
            <s xml:id="echoid-s12640" xml:space="preserve">g. </s>
            <s xml:id="echoid-s12641" xml:space="preserve">duco 3. </s>
            <s xml:id="echoid-s12642" xml:space="preserve">in 3. </s>
            <s xml:id="echoid-s12643" xml:space="preserve">& </s>
            <s xml:id="echoid-s12644" xml:space="preserve">producuntur 9. </s>
            <s xml:id="echoid-s12645" xml:space="preserve">rurſum multiplico 9. </s>
            <s xml:id="echoid-s12646" xml:space="preserve">per 3. </s>
            <s xml:id="echoid-s12647" xml:space="preserve">& </s>
            <s xml:id="echoid-s12648" xml:space="preserve">
              <lb/>
            fiunt 27. </s>
            <s xml:id="echoid-s12649" xml:space="preserve">qui numerus eſt cubus, euius latus eſt 3. </s>
            <s xml:id="echoid-s12650" xml:space="preserve">eodem modo numeri 8. </s>
            <s xml:id="echoid-s12651" xml:space="preserve">cubus eſt 512. </s>
            <s xml:id="echoid-s12652" xml:space="preserve">ratio igitur 27. </s>
            <s xml:id="echoid-s12653" xml:space="preserve">ad 512. </s>
            <s xml:id="echoid-s12654" xml:space="preserve">
              <lb/>
            eſt triplicata laterum 3. </s>
            <s xml:id="echoid-s12655" xml:space="preserve">8. </s>
            <s xml:id="echoid-s12656" xml:space="preserve">ratio autem cuborum habetur diuidendo maiorem 512. </s>
            <s xml:id="echoid-s12657" xml:space="preserve">per minorem 27. </s>
            <s xml:id="echoid-s12658" xml:space="preserve">quotiens
              <lb/>
            enim eſt ferè 19. </s>
            <s xml:id="echoid-s12659" xml:space="preserve">vnde patet numerum maiorem continere minorem vndeuicies.</s>
            <s xml:id="echoid-s12660" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12661" xml:space="preserve">Secundò in eadem diſtantia Sol exhibet diametrum apparentem min. </s>
            <s xml:id="echoid-s12662" xml:space="preserve">31
              <emph style="super">1</emph>
            . </s>
            <s xml:id="echoid-s12663" xml:space="preserve">Mercurius vero min. </s>
            <s xml:id="echoid-s12664" xml:space="preserve">2 {1/6}. </s>
            <s xml:id="echoid-s12665" xml:space="preserve">nota
              <lb/>
            igitur erit horum diametrorum proportio, eritq; </s>
            <s xml:id="echoid-s12666" xml:space="preserve">ſicut 13. </s>
            <s xml:id="echoid-s12667" xml:space="preserve">ad 186. </s>
            <s xml:id="echoid-s12668" xml:space="preserve">vnde & </s>
            <s xml:id="echoid-s12669" xml:space="preserve">ſphęrarum Solis, & </s>
            <s xml:id="echoid-s12670" xml:space="preserve">Mercurij ratio
              <lb/>
            non latebit, eritq; </s>
            <s xml:id="echoid-s12671" xml:space="preserve">vt ferè 2928. </s>
            <s xml:id="echoid-s12672" xml:space="preserve">ad 1. </s>
            <s xml:id="echoid-s12673" xml:space="preserve">cum autem ratio terræ ad Solem manifeſta ſit, manif
              <unsure/>
            eſta quoque erit ad
              <lb/>
            Mercurium, nam cum in Sole contineantur Mercurij 2918. </s>
            <s xml:id="echoid-s12674" xml:space="preserve">terræ autem 40. </s>
            <s xml:id="echoid-s12675" xml:space="preserve">ſi ille numerus per hunc diui da-
              <lb/>
            tur, quotiens indicabit eum a terra compræhendi vndeuicies. </s>
            <s xml:id="echoid-s12676" xml:space="preserve">Tertio. </s>
            <s xml:id="echoid-s12677" xml:space="preserve">Terra continet 19. </s>
            <s xml:id="echoid-s12678" xml:space="preserve">Mercurius, Lunas
              <lb/>
            autem 40. </s>
            <s xml:id="echoid-s12679" xml:space="preserve">ergo Mercurius ferè duplo maior eſt Luna.</s>
            <s xml:id="echoid-s12680" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div275" type="section" level="1" n="187">
          <head xml:id="echoid-head201" style="it" xml:space="preserve">Quantitas Epicycli.</head>
          <p>
            <s xml:id="echoid-s12681" xml:space="preserve">CVm maxima Mercurij à Sole remotio fit gra. </s>
            <s xml:id="echoid-s12682" xml:space="preserve">28. </s>
            <s xml:id="echoid-s12683" xml:space="preserve">epicycli magnitudo facilè conſtabit, deſcripto ad di-
              <lb/>
            ctam diſtantiam circulo circa Solem tanquam centrum, is enim circulus habebit veram rationem ad
              <lb/>
            circuitum Solis, deſcendetq; </s>
            <s xml:id="echoid-s12684" xml:space="preserve">infra Solem medio ferè loco inter Solem, & </s>
            <s xml:id="echoid-s12685" xml:space="preserve">terram: </s>
            <s xml:id="echoid-s12686" xml:space="preserve">cum præterea minima eius
              <lb/>
            à Sole elongatio ſit gr. </s>
            <s xml:id="echoid-s12687" xml:space="preserve">20. </s>
            <s xml:id="echoid-s12688" xml:space="preserve">manifeſta erit ex deſcriptione ſpira is epicycli circa Solem, eius quantitas; </s>
            <s xml:id="echoid-s12689" xml:space="preserve">latitu-
              <lb/>
            do enim totius euagationis in epicyclo erit gr. </s>
            <s xml:id="echoid-s12690" xml:space="preserve">8. </s>
            <s xml:id="echoid-s12691" xml:space="preserve">circiter vti ſuperior figura indicat. </s>
            <s xml:id="echoid-s12692" xml:space="preserve">maxima diſtantia Mer-
              <lb/>
            curij a Sole eſt diametrorum terræ 581.</s>
            <s xml:id="echoid-s12693" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div276" type="section" level="1" n="188">
          <head xml:id="echoid-head202" style="it" xml:space="preserve">Appendix de calculo Mercurij. Cap. V I.</head>
          <p>
            <s xml:id="echoid-s12694" xml:space="preserve">TRes Mercurij motus ad calculum redigemus, quorum primus ſit motus in longitudinem, ſeu motus
              <lb/>
            centri epicycli in longitudinem. </s>
            <s xml:id="echoid-s12695" xml:space="preserve">qui, vt diximus, eſt idem cum motu Solis in longitudinem; </s>
            <s xml:id="echoid-s12696" xml:space="preserve">habito igi-
              <lb/>
            tur Solis motu, habetur locus centri epicycli Mercurij in Zodiaco. </s>
            <s xml:id="echoid-s12697" xml:space="preserve">Secundus motus eſt motus apogæi pri-
              <lb/>
            mi, qui quoniam tardiſſimus eſt, annis enim 33. </s>
            <s xml:id="echoid-s12698" xml:space="preserve">vnum tantum gradum peragrat, ideo nullam ei conſtrue-
              <lb/>
            mus Tabulam, ſed tantummodo radices nonnullas, ex quibus reliquorum annorum apogæa eliciantur: </s>
            <s xml:id="echoid-s12699" xml:space="preserve">ſunt
              <lb/>
            au@em ſequentes.</s>
            <s xml:id="echoid-s12700" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div277" type="section" level="1" n="189">
          <head xml:id="echoid-head203" style="it" xml:space="preserve">Radices Apogæi Mercurij, ad annos ſequentes.</head>
          <note position="right" xml:space="preserve">
            <lb/>
          # Sig. # Gra. # ´. # # in primo.
            <lb/>
          2600 # 8 # 0 # 34 # ideſt # in ſecundo. # gr.♐
            <lb/>
          1633 # 8 # 1 # 34 # # in tertio.
            <lb/>
          3666 # 8 # 2 # 34 # # in quarto.
            <lb/>
          1699 # 8 # 3 # 34
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s12701" xml:space="preserve">Tertius motus eſt auomaliæ Mercurij, qui indicat eius poſitionem in epicyclo, pro qno damus Tabu-
              <lb/>
            @@@ ſequentem.</s>
            <s xml:id="echoid-s12702" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
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