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

Table of Notes

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    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div197" type="section" level="1" n="127">
          <pb o="95" file="0115" n="119" rhead="Liber Nonus."/>
        </div>
        <div xml:id="echoid-div198" type="section" level="1" n="128">
          <head xml:id="echoid-head140" style="it" xml:space="preserve">Nouilunium, atque atatem Lun@ reperire. Propoſ. VII.</head>
          <p>
            <s xml:id="echoid-s9263" xml:space="preserve">1 PEraureum numerum currentem, quem hoc modo reperies: </s>
            <s xml:id="echoid-s9264" xml:space="preserve">Anno Domini propoſito, ideſt, cuius au-
              <lb/>
            reus numerus inquirendus eſt, addatur 1. </s>
            <s xml:id="echoid-s9265" xml:space="preserve">& </s>
            <s xml:id="echoid-s9266" xml:space="preserve">numerus compoſitus diuidatur per 19. </s>
            <s xml:id="echoid-s9267" xml:space="preserve">qui eſt integra pe-
              <lb/>
            riodus numeri aurei, vti ſupra dixi, numerus enim non quotiens, ſed qui relinquitur ex hac diuiſione, erit au-
              <lb/>
            reus numerus anni propoſiti. </s>
            <s xml:id="echoid-s9268" xml:space="preserve">quod ſi ex diuiſione nil remaneat, erit aureus numerus 19. </s>
            <s xml:id="echoid-s9269" xml:space="preserve">v. </s>
            <s xml:id="echoid-s9270" xml:space="preserve">g. </s>
            <s xml:id="echoid-s9271" xml:space="preserve">quæratur aureus
              <lb/>
            numerus huius labentis anni 1616. </s>
            <s xml:id="echoid-s9272" xml:space="preserve">ei addatur 1. </s>
            <s xml:id="echoid-s9273" xml:space="preserve">fiunt 1617. </s>
            <s xml:id="echoid-s9274" xml:space="preserve">hunc diuido per 19. </s>
            <s xml:id="echoid-s9275" xml:space="preserve">remanent 2. </s>
            <s xml:id="echoid-s9276" xml:space="preserve">Ergo aureus nu-
              <lb/>
            merus huius anni eſt 2. </s>
            <s xml:id="echoid-s9277" xml:space="preserve">Quotiens aut
              <unsure/>
            em eſt 85. </s>
            <s xml:id="echoid-s9278" xml:space="preserve">cuius nulla habetur ratio, quia tantummodo oſtendit ab anno
              <lb/>
            Domini primo hucuſque, elapſas eſſe aurei numeri reuolutiones integras 85. </s>
            <s xml:id="echoid-s9279" xml:space="preserve">quod nihit refert. </s>
            <s xml:id="echoid-s9280" xml:space="preserve">Secundus
              <lb/>
            autem quæ ſuperſunt indicant ſecundum annum 86. </s>
            <s xml:id="echoid-s9281" xml:space="preserve">reuolutionis præterire. </s>
            <s xml:id="echoid-s9282" xml:space="preserve">ſequenti anno 1617. </s>
            <s xml:id="echoid-s9283" xml:space="preserve">erit aureus
              <lb/>
            num. </s>
            <s xml:id="echoid-s9284" xml:space="preserve">3. </s>
            <s xml:id="echoid-s9285" xml:space="preserve">& </s>
            <s xml:id="echoid-s9286" xml:space="preserve">ſic deinceps vſq; </s>
            <s xml:id="echoid-s9287" xml:space="preserve">ad 19. </s>
            <s xml:id="echoid-s9288" xml:space="preserve">in gyrum reeurrit.</s>
            <s xml:id="echoid-s9289" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9290" xml:space="preserve">Aliter idem aſſequeris ex ſequenti Tabella; </s>
            <s xml:id="echoid-s9291" xml:space="preserve">cuius hic eſt vſus. </s>
            <s xml:id="echoid-s9292" xml:space="preserve">Primus aureus numerus qui eſt 6. </s>
            <s xml:id="echoid-s9293" xml:space="preserve">debetur
              <lb/>
            anno 1582. </s>
            <s xml:id="echoid-s9294" xml:space="preserve">correctionis Calendarij à Greg. </s>
            <s xml:id="echoid-s9295" xml:space="preserve">XIII. </s>
            <s xml:id="echoid-s9296" xml:space="preserve">Sum. </s>
            <s xml:id="echoid-s9297" xml:space="preserve">Pont. </s>
            <s xml:id="echoid-s9298" xml:space="preserve">factæ.
              <lb/>
            </s>
            <s xml:id="echoid-s9299" xml:space="preserve">
              <note position="right" xlink:label="note-0115-01" xlink:href="note-0115-01a" xml:space="preserve">
                <lb/>
              Aur. nu. # 6 # 7 # 8 # 9 # 10 # 11 # 12 # 13 # 14 # 15 # 16 # 17 # 18 # 19 # 1 # 2 # 3 # 4 # 5
                <lb/>
              Epactæ. # 26 # 7 # 18 # 29 # 10 # 21 # 2 # 13 # 24 # 5 # 16 # 27 # 8 # 19 # 1 # 12 # 23 # 4 # 15
                <lb/>
              </note>
            incipiendo à die 15. </s>
            <s xml:id="echoid-s9300" xml:space="preserve">Octobris, qui fuit die correctionis. </s>
            <s xml:id="echoid-s9301" xml:space="preserve">ſecundus num. </s>
            <s xml:id="echoid-s9302" xml:space="preserve">7. </s>
            <s xml:id="echoid-s9303" xml:space="preserve">debetur anno 1583. </s>
            <s xml:id="echoid-s9304" xml:space="preserve">& </s>
            <s xml:id="echoid-s9305" xml:space="preserve">ſic deinceps,
              <lb/>
            vque ad quemuis datum annum, ad initium Tabulæ recurrendo, cum opus eſt, quo per eã recurſu inuenies
              <lb/>
            allatum annum 1616. </s>
            <s xml:id="echoid-s9306" xml:space="preserve">cadere ſuper numerum 2. </s>
            <s xml:id="echoid-s9307" xml:space="preserve">quem etiam antea per diuiſionem inuenimus. </s>
            <s xml:id="echoid-s9308" xml:space="preserve">de prædicta
              <lb/>
            correctione agemus in anno ſolari.</s>
            <s xml:id="echoid-s9309" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9310" xml:space="preserve">Habito igitur vtrouis modo aureo numero currente, adeas Calendarium, cui aureus numerus præſcriba-
              <lb/>
            tur; </s>
            <s xml:id="echoid-s9311" xml:space="preserve">in eo aureum num. </s>
            <s xml:id="echoid-s9312" xml:space="preserve">iam inuentum repetas; </s>
            <s xml:id="echoid-s9313" xml:space="preserve">ijs enim diebus nouilunia erunt, quibus ipſe præfigititur; </s>
            <s xml:id="echoid-s9314" xml:space="preserve">ſic
              <lb/>
            anno præſenti 1616. </s>
            <s xml:id="echoid-s9315" xml:space="preserve">vbicumque in Calendario fuerit 3. </s>
            <s xml:id="echoid-s9316" xml:space="preserve">ibi Luna renaſeitur. </s>
            <s xml:id="echoid-s9317" xml:space="preserve">porro Eccleſia Latina vſa eſt au-
              <lb/>
            reis in Calendario numeris vſque ad annũ correſctionis Calendarij. </s>
            <s xml:id="echoid-s9318" xml:space="preserve">deinceps loco eius numeros Epactales
              <lb/>
            ſubrogauit. </s>
            <s xml:id="echoid-s9319" xml:space="preserve">complures tamen adhuc Calendarium vetus cum aureo numero retinent. </s>
            <s xml:id="echoid-s9320" xml:space="preserve">Iam vero reperto
              <lb/>
            die nouiluni ſi ab eo numeraueris vſque ad currentem diem, numerus ille erit numerus dierum Lunæ, quæ
              <lb/>
            ætas Lunæ dicitur.</s>
            <s xml:id="echoid-s9321" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9322" xml:space="preserve">2 Per Epactas, quæ in nouo Calendario poſt correctionem, loco aurei numeri ſuffectæ ſunt. </s>
            <s xml:id="echoid-s9323" xml:space="preserve">Epacta, ſi-
              <lb/>
            ue potius epactæ ſunt dies illi 11. </s>
            <s xml:id="echoid-s9324" xml:space="preserve">quibus annis Lunaris deficit a Solari, vt ſupra diximus, dicuntur epactæ,
              <lb/>
            quaſi inditi, aut additi dies; </s>
            <s xml:id="echoid-s9325" xml:space="preserve">adduntur enim ſequentis anni Lunationi primæ, vt tota habeatur. </s>
            <s xml:id="echoid-s9326" xml:space="preserve">ſi igitur ini-
              <lb/>
            tio alicuius anni Solaris fiat nouil. </s>
            <s xml:id="echoid-s9327" xml:space="preserve">ideſt Sol, & </s>
            <s xml:id="echoid-s9328" xml:space="preserve">Luna ſimul annum incipiant, Luna diebus 11. </s>
            <s xml:id="echoid-s9329" xml:space="preserve">prius ſuum an-
              <lb/>
            num abſoluet, qui dies 11. </s>
            <s xml:id="echoid-s9330" xml:space="preserve">erunt Epacta, non illius anni, ſed ſequẽtis; </s>
            <s xml:id="echoid-s9331" xml:space="preserve">pertinet enim ad Lunationem primam
              <lb/>
            ſequentis anni, ideſt, Luna in principio ſequentis anni habebit dies 11. </s>
            <s xml:id="echoid-s9332" xml:space="preserve">addendique eruntalijs diebus, quos
              <lb/>
            in ſequenti anno habebit. </s>
            <s xml:id="echoid-s9333" xml:space="preserve">quoniam vero nouilunia anticipant ſequenti anno, ſimiliter diebus 11. </s>
            <s xml:id="echoid-s9334" xml:space="preserve">fit vt ad fi-
              <lb/>
            nem huius ſecundi anni Luna abſoluat annum ſuum diebus 22. </s>
            <s xml:id="echoid-s9335" xml:space="preserve">priuſquam Sol, qui dies 22. </s>
            <s xml:id="echoid-s9336" xml:space="preserve">erunt epacta ſe-
              <lb/>
            quentis anni tertij. </s>
            <s xml:id="echoid-s9337" xml:space="preserve">In fine vero huius tertij anni Luna abſoluet annum diebustantum 3. </s>
            <s xml:id="echoid-s9338" xml:space="preserve">prius quam Sol; </s>
            <s xml:id="echoid-s9339" xml:space="preserve">quia
              <lb/>
            anticipatio dierum 11. </s>
            <s xml:id="echoid-s9340" xml:space="preserve">ante dies 22. </s>
            <s xml:id="echoid-s9341" xml:space="preserve">prædictos, fecit vt vlt@ma Luna anticipãt dies 33. </s>
            <s xml:id="echoid-s9342" xml:space="preserve">qui pluſquam integram
              <lb/>
            lunationem conflant. </s>
            <s xml:id="echoid-s9343" xml:space="preserve">quare Luna abſoluit hoc anno tertio. </s>
            <s xml:id="echoid-s9344" xml:space="preserve">annum tribus tantum diebus ante Solem. </s>
            <s xml:id="echoid-s9345" xml:space="preserve">quare
              <lb/>
            spacta ſequentis anni quarti erit tantum 3. </s>
            <s xml:id="echoid-s9346" xml:space="preserve">ſic quoties epacta ſuperat. </s>
            <s xml:id="echoid-s9347" xml:space="preserve">30. </s>
            <s xml:id="echoid-s9348" xml:space="preserve">abiectis 30. </s>
            <s xml:id="echoid-s9349" xml:space="preserve">reliquus num. </s>
            <s xml:id="echoid-s9350" xml:space="preserve">eſt epacta,
              <lb/>
            & </s>
            <s xml:id="echoid-s9351" xml:space="preserve">lunatio illa dicitur Emboliſmica; </s>
            <s xml:id="echoid-s9352" xml:space="preserve">& </s>
            <s xml:id="echoid-s9353" xml:space="preserve">annus Emboliſinicus, qui conſtat ex 13. </s>
            <s xml:id="echoid-s9354" xml:space="preserve">Lunis, v@ſupra diximus. </s>
            <s xml:id="echoid-s9355" xml:space="preserve">Ad
              <lb/>
            inuenienda igitur nouilunia per epactam neceſſe è præſcire epactam currentem, quam ex modo dictis facile
              <lb/>
            eſt inuenire, dummodo tenueris epactam aliquam præcedentis alicuius anni, nam per additionẽ continuam
              <lb/>
            @1. </s>
            <s xml:id="echoid-s9356" xml:space="preserve">dierum conflantur epactæ ſequentium annorum, abiectis 30. </s>
            <s xml:id="echoid-s9357" xml:space="preserve">quando 30. </s>
            <s xml:id="echoid-s9358" xml:space="preserve">ſuperant.</s>
            <s xml:id="echoid-s9359" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9360" xml:space="preserve">Aduertendum tamen eſt, quod currente aureo num. </s>
            <s xml:id="echoid-s9361" xml:space="preserve">19. </s>
            <s xml:id="echoid-s9362" xml:space="preserve">tunc epactæ præcedenti addendi ſunt dies non
              <lb/>
            11. </s>
            <s xml:id="echoid-s9363" xml:space="preserve">vt ſolet, ſed 12. </s>
            <s xml:id="echoid-s9364" xml:space="preserve">ad conflandam epactam ſequ
              <unsure/>
            entis anni, cuius anreus num. </s>
            <s xml:id="echoid-s9365" xml:space="preserve">erit 1. </s>
            <s xml:id="echoid-s9366" xml:space="preserve">Verum ex præcedenti
              <lb/>
            Tabella, ex qua aureum numerum accepimus, etiam epactas illis ſubſcriptas in promptu habemus: </s>
            <s xml:id="echoid-s9367" xml:space="preserve">incipit
              <lb/>
            etiam hæc periodus epactarum ab anno 1582. </s>
            <s xml:id="echoid-s9368" xml:space="preserve">vna cum aureo numero ſic, quia hoc anno 1616. </s>
            <s xml:id="echoid-s9369" xml:space="preserve">aureus nume-
              <lb/>
            rus eſt 2. </s>
            <s xml:id="echoid-s9370" xml:space="preserve">erit epacta 12. </s>
            <s xml:id="echoid-s9371" xml:space="preserve">illi ſubſcripta. </s>
            <s xml:id="echoid-s9372" xml:space="preserve">ſequentis anni additi 11. </s>
            <s xml:id="echoid-s9373" xml:space="preserve">erit 23. </s>
            <s xml:id="echoid-s9374" xml:space="preserve">& </s>
            <s xml:id="echoid-s9375" xml:space="preserve">ſic deinceps. </s>
            <s xml:id="echoid-s9376" xml:space="preserve">habita gitur epacta,
              <lb/>
            adeas Calendarium nouum, in quo diebus menſium præfixi ſunt hi numeri epactal@s; </s>
            <s xml:id="echoid-s9377" xml:space="preserve">& </s>
            <s xml:id="echoid-s9378" xml:space="preserve">vbicumque reperies
              <lb/>
            epactam currentem, v.</s>
            <s xml:id="echoid-s9379" xml:space="preserve">g. </s>
            <s xml:id="echoid-s9380" xml:space="preserve">12. </s>
            <s xml:id="echoid-s9381" xml:space="preserve">pro hoc anno 1616. </s>
            <s xml:id="echoid-s9382" xml:space="preserve">ibi erunt nouilunia. </s>
            <s xml:id="echoid-s9383" xml:space="preserve">ſic, hoc lulio menſe, quia 12. </s>
            <s xml:id="echoid-s9384" xml:space="preserve">præſcr bi-
              <lb/>
            tur diei 15. </s>
            <s xml:id="echoid-s9385" xml:space="preserve">Ideo cognoſco eo die Lunam renouari; </s>
            <s xml:id="echoid-s9386" xml:space="preserve">Aetatem autẽ Lunæ hodie quæ eſt 21. </s>
            <s xml:id="echoid-s9387" xml:space="preserve">lulij, ſic ob ineo;
              <lb/>
            </s>
            <s xml:id="echoid-s9388" xml:space="preserve">numero à 15. </s>
            <s xml:id="echoid-s9389" xml:space="preserve">vſque ad 21. </s>
            <s xml:id="echoid-s9390" xml:space="preserve">incluſiue vtrinque, ſuntque 7. </s>
            <s xml:id="echoid-s9391" xml:space="preserve">dies pro ætate Lunæ. </s>
            <s xml:id="echoid-s9392" xml:space="preserve">plura de hac re videas ſi lubet
              <lb/>
            apud P. </s>
            <s xml:id="echoid-s9393" xml:space="preserve">Clauium in explicatione Romani Calendarij.</s>
            <s xml:id="echoid-s9394" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9395" xml:space="preserve">3. </s>
            <s xml:id="echoid-s9396" xml:space="preserve">Per regulam quandam popularem, quam Epactam vocant, idem & </s>
            <s xml:id="echoid-s9397" xml:space="preserve">quidem memoriter, ac promptè
              <lb/>
            @btinebis, ſic, ep@ctam currentem, & </s>
            <s xml:id="echoid-s9398" xml:space="preserve">dies menſis ſimul adduntur, ſumma enim eorum ſi nõ exceſſeri
              <unsure/>
            t 30. </s>
            <s xml:id="echoid-s9399" xml:space="preserve">er@t
              <lb/>
            æ
              <unsure/>
            tas ***, ſi exceſſerit, exceſſus ille erit quæſita ætas. </s>
            <s xml:id="echoid-s9400" xml:space="preserve">Et hoc ſolum ſufficit in primis duobus menſibus Ianua-
              <lb/>
            rij, & </s>
            <s xml:id="echoid-s9401" xml:space="preserve">Februarij, v.</s>
            <s xml:id="echoid-s9402" xml:space="preserve">g. </s>
            <s xml:id="echoid-s9403" xml:space="preserve">hoc anno 1616. </s>
            <s xml:id="echoid-s9404" xml:space="preserve">die 18. </s>
            <s xml:id="echoid-s9405" xml:space="preserve">Ianuarij volebam ſcire ætatem ***, quia ergo epacta eſt 12 & </s>
            <s xml:id="echoid-s9406" xml:space="preserve">dies
              <lb/>
            menſis ſunt 18. </s>
            <s xml:id="echoid-s9407" xml:space="preserve">qui additi faciunt 30. </s>
            <s xml:id="echoid-s9408" xml:space="preserve">ideo cognoui Lunam habere 30. </s>
            <s xml:id="echoid-s9409" xml:space="preserve">dies. </s>
            <s xml:id="echoid-s9410" xml:space="preserve">ſequenti die qui erat 19. </s>
            <s xml:id="echoid-s9411" xml:space="preserve">addebam
              <lb/>
            illis 13. </s>
            <s xml:id="echoid-s9412" xml:space="preserve">eratque ſumma 31. </s>
            <s xml:id="echoid-s9413" xml:space="preserve">exceſſus ſupra 30. </s>
            <s xml:id="echoid-s9414" xml:space="preserve">erat 1. </s>
            <s xml:id="echoid-s9415" xml:space="preserve">ideo erat nouil. </s>
            <s xml:id="echoid-s9416" xml:space="preserve">in reliquis vero 10. </s>
            <s xml:id="echoid-s9417" xml:space="preserve">menſibus, præter ea,
              <lb/>
            adduntur etiam numeri Calendarum, ideſt, pro ſingulis Calendis, ſeu Menſibus, vnuminc@piendo a Mar@io,
              <lb/>
            exempli gratia hodie, qui eſt 21. </s>
            <s xml:id="echoid-s9418" xml:space="preserve">Iulij, tria hęc, dies Menſis 21. </s>
            <s xml:id="echoid-s9419" xml:space="preserve">Epactam 12. </s>
            <s xml:id="echoid-s9420" xml:space="preserve">Calendas 5. </s>
            <s xml:id="echoid-s9421" xml:space="preserve">in vnum colligo, </s>
          </p>
        </div>
      </text>
    </echo>
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