Apian, Petrus, Instrvmentvm Sinvvm, sev primi mobilis

Table of contents

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[71.] PRONVNCIATVM LIX.
Page: 62
[72.] PRONVNCIATVM LX.
Page: 63
[73.] PRONVNCIATVM LXI.
Page: 64
[74.] PRONVNCIATVM LXII.
Page: 64
[75.] PRONVNCIATVM LXIII.
Page: 64
[76.] PRONVNCIATVM LXIIII.
Page: 65
[77.] PRONVNCIATVM LXV.
Page: 66
[78.] PRONVNCIATVM LXVI.
Page: 66
[79.] PRONVNCIATVM LXVII.
Page: 67
[80.] PRONVNCIATVM LXVIII.
Page: 68
[81.] PRONVNCIATVM LXIX.
Page: 68
[82.] PRONVNCIATVM LXX.
Page: 69
[83.] PRONVNCIATVM LXXI.
Page: 69
[84.] PRONVNCIATVM LXXII.
Page: 69
[85.] PRONVNCIATVM LXXIII.
Page: 70
[86.] PRONVNCIATVM LXXIIII.
Page: 70
[87.] PRONVNCIATVM LXXV.
Page: 71
[88.] PRONVNCIATVM LXXVI.
Page: 72
[89.] PRONVNCIATVM LXXVII.
Page: 73
[90.] PRONVNCIATVM LXXVIII.
Page: 74
[91.] PRONVNCIATVM LXXIX.
Page: 76
[92.] PRONVNCIATVM LXXX.
Page: 76
[93.] PRONVNCIATVM LXXXI.
Page: 77
[94.] PRONVNCIATVM LXXXII.
Page: 77
[95.] PRONVNCIATVM LXXXIII.
Page: 77
[96.] PRONVNCIATVM LXXXIIII.
Page: 78
[97.] PRONVNCIATVM LXXXV.
Page: 78
[98.] PRONVNCIATVM LXXXVI.
Page: 79
[99.] PRONVNCIATVM LXXXVII.
Page: 80
[100.] PRONVNCIATVM LXXXVIII.
Page: 80
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        <div xml:id="echoid-div183" type="section" level="1" n="95">
          <p>
            <s xml:id="echoid-s6353" xml:space="preserve">
              <pb file="0078" n="78" rhead="GENVINVS VSVS"/>
            ſitam ſuper ſemicirculum poſitionis. </s>
            <s xml:id="echoid-s6354" xml:space="preserve">?</s>
            <s xml:id="echoid-s6355" xml:space="preserve">? Puta ſub horam intronizationis factæ, inter
              <lb/>
              <note position="left" xlink:label="note-0078-01" xlink:href="note-0078-01a" xml:space="preserve">EXEM-
                <lb/>
              PLVM
                <lb/>
              E
                <emph style="it">piſcopi.</emph>
              </note>
            meridianum & </s>
            <s xml:id="echoid-s6356" xml:space="preserve">ſemicirculum poſitionis, qui per corpus Solis ducitur ab ipſo æquatore,
              <lb/>
            intercepti ſunt 31. </s>
            <s xml:id="echoid-s6357" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6358" xml:space="preserve">59. </s>
            <s xml:id="echoid-s6359" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6360" xml:space="preserve">complementum huius eſt 88. </s>
            <s xml:id="echoid-s6361" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6362" xml:space="preserve">1. </s>
            <s xml:id="echoid-s6363" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6364" xml:space="preserve">ſinus eius 84814.
              <lb/>
            </s>
            <s xml:id="echoid-s6365" xml:space="preserve">hunc duco in ſinum altitudinis poli Auguſt. </s>
            <s xml:id="echoid-s6366" xml:space="preserve">74702. </s>
            <s xml:id="echoid-s6367" xml:space="preserve">productum diuido in totum, & </s>
            <s xml:id="echoid-s6368" xml:space="preserve">quo
              <lb/>
            tiens dat 63358. </s>
            <s xml:id="echoid-s6369" xml:space="preserve">cuius arcus eſt 39. </s>
            <s xml:id="echoid-s6370" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6371" xml:space="preserve">19. </s>
            <s xml:id="echoid-s6372" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6373" xml:space="preserve">ſinus complementi huius ipſe eſt diuiſor. </s>
            <s xml:id="echoid-s6374" xml:space="preserve">
              <lb/>
            Iam duco ſinum complementi altitudinis poli 66479. </s>
            <s xml:id="echoid-s6375" xml:space="preserve">in totum, productum diuido in di
              <lb/>
            uiſorem, & </s>
            <s xml:id="echoid-s6376" xml:space="preserve">proueniunt in quotiente 85929. </s>
            <s xml:id="echoid-s6377" xml:space="preserve">arcus eius 59. </s>
            <s xml:id="echoid-s6378" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6379" xml:space="preserve">14. </s>
            <s xml:id="echoid-s6380" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6381" xml:space="preserve">de 90. </s>
            <s xml:id="echoid-s6382" xml:space="preserve">ſubductus,
              <lb/>
            relinquit à ſe 30. </s>
            <s xml:id="echoid-s6383" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6384" xml:space="preserve">46. </s>
            <s xml:id="echoid-s6385" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6386" xml:space="preserve">altitudinem ſcilicet illam poli ſuper ſemicirculum poſitionis
              <lb/>
            quem ſcire uolebam.</s>
            <s xml:id="echoid-s6387" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div185" type="section" level="1" n="96">
          <head xml:id="echoid-head100" xml:space="preserve">PRONVNCIATVM LXXXIIII.</head>
          <p>
            <s xml:id="echoid-s6388" xml:space="preserve">Altitudinem poli ſuper ſemicirculum poſitionis per arcum æquatoris in
              <lb/>
            ter eum & </s>
            <s xml:id="echoid-s6389" xml:space="preserve">meridianum concluſum, diuerſa ratione colligere.</s>
            <s xml:id="echoid-s6390" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6391" xml:space="preserve">Propoſitio idem & </s>
            <s xml:id="echoid-s6392" xml:space="preserve">quærit & </s>
            <s xml:id="echoid-s6393" xml:space="preserve">præſupponit quod ſuperior, puta arcum æquatoris, ſi-
              <lb/>
            num complementi eius arcus duc in ſinum altitudinis poli, & </s>
            <s xml:id="echoid-s6394" xml:space="preserve">diuide quotientem in to
              <lb/>
              <note position="left" xlink:label="note-0078-02" xlink:href="note-0078-02a" xml:space="preserve">
                <emph style="it">Illud diſces</emph>
                <lb/>
                <emph style="it">in quadran</emph>
                <lb/>
                <emph style="it">te per intro</emph>
                <lb/>
                <emph style="it">itum latera</emph>
                <lb/>
                <emph style="it">lem.</emph>
              </note>
            tum, ſinum uero complementi huius quotientis tibi propone, ſimul & </s>
            <s xml:id="echoid-s6395" xml:space="preserve">ſinum arcus æ-
              <lb/>
            quatoris ſuppolìtum, minorem cum toto multiplica, & </s>
            <s xml:id="echoid-s6396" xml:space="preserve">per maiorem, more ſolito, di-
              <lb/>
            uide, hinc quotientem rurſus duc in ſinum altitudinis poli, productum diuide in ſinum
              <lb/>
            perfectum, & </s>
            <s xml:id="echoid-s6397" xml:space="preserve">arcus quotientis dabit altitudinem poli quæſitam ſuper ſemicirculum
              <lb/>
            poſitionis. </s>
            <s xml:id="echoid-s6398" xml:space="preserve">Exemplum cape, & </s>
            <s xml:id="echoid-s6399" xml:space="preserve">in hac re tibi non moleſtum erit. </s>
            <s xml:id="echoid-s6400" xml:space="preserve">Eſto ut ſit arcus æ-
              <lb/>
              <note position="left" xlink:label="note-0078-03" xlink:href="note-0078-03a" xml:space="preserve">EXEM-
                <lb/>
              PLVM
                <lb/>
              E
                <emph style="it">piſcopi.</emph>
              </note>
            quatoris, ſicut antea inter meridianum & </s>
            <s xml:id="echoid-s6401" xml:space="preserve">ſemicirculum poſitionis imaginarium per lo
              <lb/>
            cum Solis ipſa hora intronizationis 31. </s>
            <s xml:id="echoid-s6402" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6403" xml:space="preserve">59. </s>
            <s xml:id="echoid-s6404" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6405" xml:space="preserve">ſinus ſui complementi eſt 84814, eũ
              <lb/>
            duco in ſinum latitudinis Auguſt. </s>
            <s xml:id="echoid-s6406" xml:space="preserve">74702. </s>
            <s xml:id="echoid-s6407" xml:space="preserve">& </s>
            <s xml:id="echoid-s6408" xml:space="preserve">poſt diuiſionem ſinus perfecti, quotiens ex
              <lb/>
            hibet mihi 63358. </s>
            <s xml:id="echoid-s6409" xml:space="preserve">arcus porrò eſt 39. </s>
            <s xml:id="echoid-s6410" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6411" xml:space="preserve">19. </s>
            <s xml:id="echoid-s6412" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6413" xml:space="preserve">Complementum eius 50. </s>
            <s xml:id="echoid-s6414" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6415" xml:space="preserve">41. </s>
            <s xml:id="echoid-s6416" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6417" xml:space="preserve">ſi-
              <lb/>
            nus illius eſt diuiſor 77365. </s>
            <s xml:id="echoid-s6418" xml:space="preserve">iam duco ſinum 31. </s>
            <s xml:id="echoid-s6419" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6420" xml:space="preserve">59. </s>
            <s xml:id="echoid-s6421" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6422" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s6423" xml:space="preserve">52967. </s>
            <s xml:id="echoid-s6424" xml:space="preserve">in totum, productũ
              <lb/>
            diuido in ipſum diuiſorem, & </s>
            <s xml:id="echoid-s6425" xml:space="preserve">quotiens profert 68464, eum rurſus duco in ſinum altitu-
              <lb/>
            dinis poli 74702. </s>
            <s xml:id="echoid-s6426" xml:space="preserve">productum diuide in totum, & </s>
            <s xml:id="echoid-s6427" xml:space="preserve">quotiens erit 51154. </s>
            <s xml:id="echoid-s6428" xml:space="preserve">cuius arcus eſt
              <lb/>
            30. </s>
            <s xml:id="echoid-s6429" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6430" xml:space="preserve">46. </s>
            <s xml:id="echoid-s6431" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6432" xml:space="preserve">altitudo illa poli ſuper ſemicirculum poſitionis inquiſita.</s>
            <s xml:id="echoid-s6433" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div187" type="section" level="1" n="97">
          <head xml:id="echoid-head101" xml:space="preserve">PRONVNCIATVM LXXXV.</head>
          <p>
            <s xml:id="echoid-s6434" xml:space="preserve">Declinationem ſtellæ ab æquatore, ſi quam habet, cognoſcere.</s>
            <s xml:id="echoid-s6435" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6436" xml:space="preserve">Trifariam quæri poteſt declinatio, quædam enim ftellæ ſiue puncta ſunt in arcu, qui
              <lb/>
            trãſit per polos zodiaci, & </s>
            <s xml:id="echoid-s6437" xml:space="preserve">per principia ♈ & </s>
            <s xml:id="echoid-s6438" xml:space="preserve">♎, quæ ſcilicet in principio ♈ uel ♎ ſunt
              <lb/>
            ſecundum longitudinem, quædam rurſus in principio ♋ uel ♑ ſunt quæ rurſus peculia-
              <lb/>
            rem habent rationẽ, & </s>
            <s xml:id="echoid-s6439" xml:space="preserve">ſimiliter hinc inde extra illos circulos duos ſparſim conſpiciũtur.</s>
            <s xml:id="echoid-s6440" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6441" xml:space="preserve">De ſtellis quæ ſunt in principio ♈ uel ♎.</s>
            <s xml:id="echoid-s6442" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6443" xml:space="preserve">Hic ſi ſtellam aliquam conſpexeris, duc ſinum latitudinis ſtellæ in ſinum complemen
              <lb/>
              <note position="left" xlink:label="note-0078-04" xlink:href="note-0078-04a" xml:space="preserve">
                <emph style="it">Per laterd-</emph>
                <lb/>
                <emph style="it">lem ingreſ-</emph>
                <lb/>
                <emph style="it">lam aſſeque-</emph>
                <lb/>
                <emph style="it">ris illud.</emph>
              </note>
            ti maximæ declinationis Solis, & </s>
            <s xml:id="echoid-s6444" xml:space="preserve">productum diuide in totum, arcus quotientis mon-
              <lb/>
            ſtrabit declinationem ſtellæ propoſitæ.</s>
            <s xml:id="echoid-s6445" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6446" xml:space="preserve">Deijs quæ ſunt in principio ♋ uel ♑.</s>
            <s xml:id="echoid-s6447" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6448" xml:space="preserve">Si latitudo ſtellæ fuerit ſeptentrionalis, & </s>
            <s xml:id="echoid-s6449" xml:space="preserve">ſtella ipſa in principio ♋, tunc adde maxi-
              <lb/>
            mam Solis declinationem ad latitudinem ſtellæ, & </s>
            <s xml:id="echoid-s6450" xml:space="preserve">habebis eius declinationem: </s>
            <s xml:id="echoid-s6451" xml:space="preserve">ſin au-
              <lb/>
            tem latitudo ſtellæ meridionalis extiterit, ſtella exiſtente in principio ♋, & </s>
            <s xml:id="echoid-s6452" xml:space="preserve">tunc latitu-
              <lb/>
            do ſit 23. </s>
            <s xml:id="echoid-s6453" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6454" xml:space="preserve">30. </s>
            <s xml:id="echoid-s6455" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6456" xml:space="preserve">ſtella declinationem nullam habebit. </s>
            <s xml:id="echoid-s6457" xml:space="preserve">Adhuc ſi latitudo ſit minor
              <lb/>
            maxima Solis declinatione, ſubtrahe tunc latitudinem ſtellæ à maxima Solis declinati
              <lb/>
            one, & </s>
            <s xml:id="echoid-s6458" xml:space="preserve">remanebit declinatio ſtellæ ſeptentrionalis. </s>
            <s xml:id="echoid-s6459" xml:space="preserve">At ſi latitudo ſtellæ fuerit maior ma
              <lb/>
            xima declinatione Solis, ſubtrahes inde maximam illam Solis declinationem, & </s>
            <s xml:id="echoid-s6460" xml:space="preserve">reſidu
              <lb/>
            um erit declinatio ipſa ſtellæ meridionalis. </s>
            <s xml:id="echoid-s6461" xml:space="preserve">Simili modo operare etiam ſi ſtella fuerit in
              <lb/>
            principio ♑, @iſi quòd tunc inuertenda ſunt omnia, & </s>
            <s xml:id="echoid-s6462" xml:space="preserve">ubi hic ſeptentrionem habuiſti,
              <lb/>
            illic pones meridiem, & </s>
            <s xml:id="echoid-s6463" xml:space="preserve">econtra.</s>
            <s xml:id="echoid-s6464" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6465" xml:space="preserve">De ſtellis quæ alibi poſitæ ſunt extra illos duos circulos.</s>
            <s xml:id="echoid-s6466" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6467" xml:space="preserve">Principio hic uide, an ſtella ad ♋ uel ♑ propius accedat, ſiue ſecundum ſiue </s>
          </p>
        </div>
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