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

List of thumbnails

< >
121
121 (97) 		122
122 (98)
123
123 (99) 		124
124 (100)
125
125 (101) 		126
126 (102)
127
127 (103) 		128
128 (104)
129
129 (105) 		130
130 (106)
< >
page |< < (104) of 300 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div218" type="section" level="1" n="139">
          <p>
            <s xml:id="echoid-s10383" xml:space="preserve">
              <pb o="104" file="0124" n="128" rhead="De Mundi Fabrica,"/>
            ne æquatoris, quot enim minutis eam excedit, tot horis, poſt illum meridiem, eontinget æquinoctium.</s>
            <s xml:id="echoid-s10384" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10385" xml:space="preserve">Vel ſic, obſerua duas altitudines Solis meridianas, vnam ante æquinoctium, alteram poſt. </s>
            <s xml:id="echoid-s10386" xml:space="preserve">vna erit proxi-
              <lb/>
            mè minor, altera proximè maior altitudine æquatoris, & </s>
            <s xml:id="echoid-s10387" xml:space="preserve">quia minuta exceſſus, & </s>
            <s xml:id="echoid-s10388" xml:space="preserve">defectus ſunt declinatio-
              <lb/>
            nes punctorum eclypticę, ideo ex Tabula declinat. </s>
            <s xml:id="echoid-s10389" xml:space="preserve">iam cap de Zodiaco præmiſſa; </s>
            <s xml:id="echoid-s10390" xml:space="preserve">accipe duo puncta eclypti-
              <lb/>
            cæ quibus tales conueniant declinationes. </s>
            <s xml:id="echoid-s10391" xml:space="preserve">quibus cognitis accipe eorum diſtantias ab æquinoctiali puncto,
              <lb/>
            quarum vna præcedit, altera ſequitur æquinoctium; </s>
            <s xml:id="echoid-s10392" xml:space="preserve">eæ ſimul additæ componunt motum Solis diurnum,
              <lb/>
            ideſt, eas Sol horis 24. </s>
            <s xml:id="echoid-s10393" xml:space="preserve">percurrit in priori enim puncto Sol erat in antecedente meridie, in poſteriori vero in
              <lb/>
            ſubſequenti meridie. </s>
            <s xml:id="echoid-s10394" xml:space="preserve">hunc igitur motum diurnum diuide in 24. </s>
            <s xml:id="echoid-s10395" xml:space="preserve">partes, quarũ ſingulæ ſingulis horis deben-
              <lb/>
            tur: </s>
            <s xml:id="echoid-s10396" xml:space="preserve">quot igitur ex dictis partibus ab vtrouis puncto obſeruationis diſtiterit Arietis initium; </s>
            <s xml:id="echoid-s10397" xml:space="preserve">tot etiam horis.
              <lb/>
            </s>
            <s xml:id="echoid-s10398" xml:space="preserve">vel poſt primum meridiem, vel ante ſecundum, continget æquinoctium.</s>
            <s xml:id="echoid-s10399" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10400" xml:space="preserve">2 Ex Ptolomæi Armilla æquatoria. </s>
            <s xml:id="echoid-s10401" xml:space="preserve">Erat hæc magnus æquatoris circulus, cuidam parieti firmiter affi-
              <lb/>
            @us, ibique Aſtronomicè ita collocatus, vt æquatoris poſitionem omnino imitaretur. </s>
            <s xml:id="echoid-s10402" xml:space="preserve">igitur circa æquinoctij
              <lb/>
            tempus ruditer cognitum, obſeruabat vmbram, ac illuminationem illius; </s>
            <s xml:id="echoid-s10403" xml:space="preserve">nam ſi pars ſuperior Soli obuerſa
              <lb/>
            totam alteram partem inferiorem, & </s>
            <s xml:id="echoid-s10404" xml:space="preserve">cauam præcisè, & </s>
            <s xml:id="echoid-s10405" xml:space="preserve">adæquatè obumbraſſet, tunc temporis æquinoctium
              <lb/>
            contingebat. </s>
            <s xml:id="echoid-s10406" xml:space="preserve">quoniam vero in æquinoctijs Sol moratur ſupra horizontem h. </s>
            <s xml:id="echoid-s10407" xml:space="preserve">12. </s>
            <s xml:id="echoid-s10408" xml:space="preserve">facilè accidere poteſt, vt in-
              <lb/>
            terdiu æquinoctium contingat, ac proinde momentum ipſius ex tali obumbratione dignoſcatur. </s>
            <s xml:id="echoid-s10409" xml:space="preserve">non enim
              <lb/>
            in meridie tantum, ſed qualibet diei hora id fieri poteſt. </s>
            <s xml:id="echoid-s10410" xml:space="preserve">Pariter ex ſphæra materiali rectè conſtructa atque
              <lb/>
            Aſtronomicè collocata id aſſequemur, quamuis non æquè tuto ac per affixam Armillam; </s>
            <s xml:id="echoid-s10411" xml:space="preserve">Quamuis nec per
              <lb/>
            Armillam, nec aliud quoduis inſtrumentum, fieri queat, vt exactè, ſed tantummodo quam proximè ipſum
              <lb/>
            æquinoctij momentum difiniatur.</s>
            <s xml:id="echoid-s10412" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10413" xml:space="preserve">3 Ex calculo Solis Aſtronomi tempus æquinoctij explorant, vbi motum Solis cognitum iam ſupponũt,
              <lb/>
            quem vt cognoſcerent neceſſe fuit prius æquinoctium ex obſeruatione o ganica determinare; </s>
            <s xml:id="echoid-s10414" xml:space="preserve">vti modo do-
              <lb/>
            cuimus. </s>
            <s xml:id="echoid-s10415" xml:space="preserve">ideo nunc nobis minimè licet docere qua via ex calculo, ac proinde ex motu Solis cognito æquino-
              <lb/>
            ctium inueniamus: </s>
            <s xml:id="echoid-s10416" xml:space="preserve">hoc enim modo in Logicam peccaremus petentes principium, ſupponeremus etiam mo.
              <lb/>
            </s>
            <s xml:id="echoid-s10417" xml:space="preserve">tum Solis eſſe nobis cognitum, quem ex æquinoctijs indagare volumus.</s>
            <s xml:id="echoid-s10418" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div219" type="section" level="1" n="140">
          <head xml:id="echoid-head152" style="it" xml:space="preserve">Anni æquinoct. ac ſyderei quantitatem Astronomicè definire. Cap. V I.</head>
          <p>
            <s xml:id="echoid-s10419" xml:space="preserve">QVoniam verus annus temporalis, qui nobis quatuor temporum viciſſitudines affert, oritur ex Solis per
              <lb/>
            Zodiacum integra reuolutione, fit vt tempus ab vno eodemque æquinoctio ad idem, ſit æquinoctiale
              <lb/>
            tempus annuum. </s>
            <s xml:id="echoid-s10420" xml:space="preserve">Vetuſtiores igitur Aſtronomi Calippus, Ariſtarchus, Archimedes, Hipparchus,
              <lb/>
            inter duo æquinoctia ritè, quantum fieri potuit obſeruata, vt inter duo verna, aut duo autumnalia, compere-
              <lb/>
            runt contineri dies 365. </s>
            <s xml:id="echoid-s10421" xml:space="preserve">& </s>
            <s xml:id="echoid-s10422" xml:space="preserve">horas 6. </s>
            <s xml:id="echoid-s10423" xml:space="preserve">Verum aliquam obſeruationum imperfectionem exactam anni quanti-
              <lb/>
            catem tam breui tempore, neutiquam attigerunt. </s>
            <s xml:id="echoid-s10424" xml:space="preserve">Verior enim anni magnitudo, non niſi per multos annos,
              <lb/>
            inter duo æquinoctia eiuſdem generis, præteritos indagari poteſt. </s>
            <s xml:id="echoid-s10425" xml:space="preserve">Quamobrem Ptolemæus prædictam an-
              <lb/>
            ni quantitatem examinaturus bina aſſumpſit æquinoctia, quæ plurimis ab inuicem annis diſtarent. </s>
            <s xml:id="echoid-s10426" xml:space="preserve">quorum
              <lb/>
            prius denotatum fuerat ab Hipparcho, alterum vero a ſeipſo. </s>
            <s xml:id="echoid-s10427" xml:space="preserve">in quo annorum interuallo reperit non potuiſ-
              <lb/>
            ſe contineri annos integros conſtantes ex diebus 365 {1/4}. </s>
            <s xml:id="echoid-s10428" xml:space="preserve">verum in annis trecentis vnum diem interire. </s>
            <s xml:id="echoid-s10429" xml:space="preserve">vnde
              <lb/>
            collegitur annum cõ@inere dies 365′. </s>
            <s xml:id="echoid-s10430" xml:space="preserve">minus parte 300. </s>
            <s xml:id="echoid-s10431" xml:space="preserve">diei. </s>
            <s xml:id="echoid-s10432" xml:space="preserve">quæ efficit 12″. </s>
            <s xml:id="echoid-s10433" xml:space="preserve">ſecunda diei. </s>
            <s xml:id="echoid-s10434" xml:space="preserve">quare annus illi fuit
              <lb/>
            dierum 365. </s>
            <s xml:id="echoid-s10435" xml:space="preserve">14′. </s>
            <s xml:id="echoid-s10436" xml:space="preserve">48′. </s>
            <s xml:id="echoid-s10437" xml:space="preserve">ſeu dierum 365. </s>
            <s xml:id="echoid-s10438" xml:space="preserve">horarum 5. </s>
            <s xml:id="echoid-s10439" xml:space="preserve">55′. </s>
            <s xml:id="echoid-s10440" xml:space="preserve">12″. </s>
            <s xml:id="echoid-s10441" xml:space="preserve">Eodem modo Albategnius Arabs, poſt Ptolemæũ
              <lb/>
            annis 743. </s>
            <s xml:id="echoid-s10442" xml:space="preserve">conterens ſuas obſeruationes cum Ptolemaicis, annum ſtatuit eſſe dies 365. </s>
            <s xml:id="echoid-s10443" xml:space="preserve">horas 5. </s>
            <s xml:id="echoid-s10444" xml:space="preserve">46′. </s>
            <s xml:id="echoid-s10445" xml:space="preserve">Alij de-
              <lb/>
            inceps Aſtronomi in idẽ ſtudium incubuerunt; </s>
            <s xml:id="echoid-s10446" xml:space="preserve">donec vltimus omnium Tycho exactiſſimus obſeruator anti-
              <lb/>
            quorum veſtigijs inſiſtens, prodidit annum naturalem, ſeu ęquinoctialem conſtare ex diebus 365. </s>
            <s xml:id="echoid-s10447" xml:space="preserve">hor. </s>
            <s xml:id="echoid-s10448" xml:space="preserve">5. </s>
            <s xml:id="echoid-s10449" xml:space="preserve">48′.
              <lb/>
            </s>
            <s xml:id="echoid-s10450" xml:space="preserve">45″. </s>
            <s xml:id="echoid-s10451" xml:space="preserve">ſeu ex diebus 365. </s>
            <s xml:id="echoid-s10452" xml:space="preserve">14′. </s>
            <s xml:id="echoid-s10453" xml:space="preserve">31″. </s>
            <s xml:id="echoid-s10454" xml:space="preserve">52″′. </s>
            <s xml:id="echoid-s10455" xml:space="preserve">dierum. </s>
            <s xml:id="echoid-s10456" xml:space="preserve">Similiter labore ac methodo circa annum ſydereum tradiderũt
              <lb/>
            recentiores eum conſtare ex diebus 365. </s>
            <s xml:id="echoid-s10457" xml:space="preserve">hor. </s>
            <s xml:id="echoid-s10458" xml:space="preserve">6.</s>
            <s xml:id="echoid-s10459" xml:space="preserve">9′. </s>
            <s xml:id="echoid-s10460" xml:space="preserve">26″. </s>
            <s xml:id="echoid-s10461" xml:space="preserve">Hos porrò annos cõ tantes ex fractionibus horarum,
              <lb/>
            minutis, ac ſecundis, appellant Aſtronomicos, qui differunt ab anno ciuili de quo poſtea.</s>
            <s xml:id="echoid-s10462" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div220" type="section" level="1" n="141">
          <head xml:id="echoid-head153" style="it" xml:space="preserve">Motus Solis medios inuestigare. Cap. VII.</head>
          <p>
            <s xml:id="echoid-s10463" xml:space="preserve">CVm igitur Sol totum Zodiacũ emetiatur anno æquinoctiali, hoc eſt diebus 365. </s>
            <s xml:id="echoid-s10464" xml:space="preserve">hor. </s>
            <s xml:id="echoid-s10465" xml:space="preserve">5. </s>
            <s xml:id="echoid-s10466" xml:space="preserve">48′. </s>
            <s xml:id="echoid-s10467" xml:space="preserve">45″. </s>
            <s xml:id="echoid-s10468" xml:space="preserve">ſi totum
              <lb/>
            Zodiacum, ſeu ſi gradus 360. </s>
            <s xml:id="echoid-s10469" xml:space="preserve">diuiſerimus pertot dies, horas, & </s>
            <s xml:id="echoid-s10470" xml:space="preserve">c. </s>
            <s xml:id="echoid-s10471" xml:space="preserve">prodibit in quotiente motus Solis me-
              <lb/>
            dius diurnus gr. </s>
            <s xml:id="echoid-s10472" xml:space="preserve">0. </s>
            <s xml:id="echoid-s10473" xml:space="preserve">59′. </s>
            <s xml:id="echoid-s10474" xml:space="preserve">8′. </s>
            <s xml:id="echoid-s10475" xml:space="preserve">20″′. </s>
            <s xml:id="echoid-s10476" xml:space="preserve">& </s>
            <s xml:id="echoid-s10477" xml:space="preserve">c. </s>
            <s xml:id="echoid-s10478" xml:space="preserve">qui numeratur ab Arietis initio, diciturq; </s>
            <s xml:id="echoid-s10479" xml:space="preserve">motus longitudinis. </s>
            <s xml:id="echoid-s10480" xml:space="preserve">diuiſionẽ
              <lb/>
            hanc iſi Luna docuimus. </s>
            <s xml:id="echoid-s10481" xml:space="preserve">Soligitur ſinguli diebus mediocri motu, ideſt, ſi æqualiter in Zodiaco moueatur,
              <lb/>
            perficit 59′. </s>
            <s xml:id="echoid-s10482" xml:space="preserve">8″. </s>
            <s xml:id="echoid-s10483" xml:space="preserve">& </s>
            <s xml:id="echoid-s10484" xml:space="preserve">c. </s>
            <s xml:id="echoid-s10485" xml:space="preserve">huius pars 24. </s>
            <s xml:id="echoid-s10486" xml:space="preserve">erit motus medius horarius. </s>
            <s xml:id="echoid-s10487" xml:space="preserve">ſi vero eum multiplicaucrimus per aliquem
              <lb/>
            dierum numerum, habebimns motus illi correſpondentes, ſic motus annuos, meſtruos, diarios, & </s>
            <s xml:id="echoid-s10488" xml:space="preserve">horarios,
              <lb/>
            facilè obtinebimus. </s>
            <s xml:id="echoid-s10489" xml:space="preserve">ex quibus ſicuti etiam in Luna, Tabulas mediorum motuum conſtruemus. </s>
            <s xml:id="echoid-s10490" xml:space="preserve">Supradi@tam
              <lb/>
            diuiſionem ſic peregi. </s>
            <s xml:id="echoid-s10491" xml:space="preserve">reſolui totum circulum, ideſt, gr. </s>
            <s xml:id="echoid-s10492" xml:space="preserve">360. </s>
            <s xml:id="echoid-s10493" xml:space="preserve">io tertia 77, 760, 000″. </s>
            <s xml:id="echoid-s10494" xml:space="preserve">ſimiliter reduxi totum an-
              <lb/>
            num, ideſt, dies 365. </s>
            <s xml:id="echoid-s10495" xml:space="preserve">hor. </s>
            <s xml:id="echoid-s10496" xml:space="preserve">548′. </s>
            <s xml:id="echoid-s10497" xml:space="preserve">45″. </s>
            <s xml:id="echoid-s10498" xml:space="preserve">in ſecunda 1,314,872, poſtea diuiſi illa tertia, per hanc ſecunda, & </s>
            <s xml:id="echoid-s10499" xml:space="preserve">proue-
              <lb/>
            neiunt 59′. </s>
            <s xml:id="echoid-s10500" xml:space="preserve">prima. </s>
            <s xml:id="echoid-s10501" xml:space="preserve">ſuperfuerunt in diuiſione tertia 182,561″′. </s>
            <s xml:id="echoid-s10502" xml:space="preserve">quæ duxi in 60. </s>
            <s xml:id="echoid-s10503" xml:space="preserve">produxique 10,953,650. </s>
            <s xml:id="echoid-s10504" xml:space="preserve">quarta
              <lb/>
            hæc iterum partitus ſum per eadem ſecunda, & </s>
            <s xml:id="echoid-s10505" xml:space="preserve">c. </s>
            <s xml:id="echoid-s10506" xml:space="preserve">ideſt, per eumdem diuiſorem, & </s>
            <s xml:id="echoid-s10507" xml:space="preserve">prodijt quotiens 8 @ @. </s>
            <s xml:id="echoid-s10508" xml:space="preserve">ſe-
              <lb/>
            cunda, & </s>
            <s xml:id="echoid-s10509" xml:space="preserve">ſic deinceps iuxta regulam ſuperius de diuiſione traditam. </s>
            <s xml:id="echoid-s10510" xml:space="preserve">reperique motum Solis diarium in lon-
              <lb/>
            gitudinem 59′. </s>
            <s xml:id="echoid-s10511" xml:space="preserve">8″. </s>
            <s xml:id="echoid-s10512" xml:space="preserve">20″′. </s>
            <s xml:id="echoid-s10513" xml:space="preserve">& </s>
            <s xml:id="echoid-s10514" xml:space="preserve">c.</s>
            <s xml:id="echoid-s10515" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum