Apian, Petrus, Instrvmentvm Sinvvm, sev primi mobilis

Table of contents

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[101.] PRONVNCIATVM LXXXIX.
Page: 81
[102.] PRONVNCIATVM XC.
Page: 82
[103.] PRONVNCIATVM XCI.
Page: 82
[104.] PRONVNCIATVM XCII.
Page: 83
[105.] PRONVNCIATVM XCIII.
Page: 83
[106.] PRONVNCIATVM XCIIII.
Page: 85
[107.] PRONVNCIATVM XCV.
Page: 85
[108.] PRONVNCIATVM XCVI.
Page: 86
[109.] PRONVNCIATVM XCVII.
Page: 87
[110.] PRONVNCIATVM XCVIII.
Page: 88
[111.] PRONVNCIATVM XCIX.
Page: 88
[112.] PRONVNCIATVM C.
Page: 89
[113.] FINIS.
Page: 90
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        <div xml:id="echoid-div177" type="section" level="1" n="92">
          <p>
            <s xml:id="echoid-s6227" xml:space="preserve">
              <pb file="0077" n="77" rhead="TABVLARVM SINVVM PER PET. APIANVM."/>
            altitudo Solis in eleuatione poli 48. </s>
            <s xml:id="echoid-s6228" xml:space="preserve">graduum, 44. </s>
            <s xml:id="echoid-s6229" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6230" xml:space="preserve">52. </s>
            <s xml:id="echoid-s6231" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6232" xml:space="preserve">quando Sol tunc fuit in 2.
              <lb/>
            </s>
            <s xml:id="echoid-s6233" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6234" xml:space="preserve">26. </s>
            <s xml:id="echoid-s6235" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6236" xml:space="preserve">II, ſi declinatio eius eſt 20. </s>
            <s xml:id="echoid-s6237" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6238" xml:space="preserve">42. </s>
            <s xml:id="echoid-s6239" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6240" xml:space="preserve">complementum eius erit 69. </s>
            <s xml:id="echoid-s6241" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6242" xml:space="preserve">18. </s>
            <s xml:id="echoid-s6243" xml:space="preserve">
              <lb/>
            mi. </s>
            <s xml:id="echoid-s6244" xml:space="preserve">complementum uero altitudinis poli 42. </s>
            <s xml:id="echoid-s6245" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6246" xml:space="preserve">ei addo declinationem Solis, & </s>
            <s xml:id="echoid-s6247" xml:space="preserve">proue-
              <lb/>
            nient 62. </s>
            <s xml:id="echoid-s6248" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6249" xml:space="preserve">42. </s>
            <s xml:id="echoid-s6250" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6251" xml:space="preserve">cuius ſinus eſt 88861. </s>
            <s xml:id="echoid-s6252" xml:space="preserve">quem duco in totum, & </s>
            <s xml:id="echoid-s6253" xml:space="preserve">productum diuido in
              <lb/>
            ſinum complementi altitudinis poli. </s>
            <s xml:id="echoid-s6254" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s6255" xml:space="preserve">66913. </s>
            <s xml:id="echoid-s6256" xml:space="preserve">quotiens eſt 132801. </s>
            <s xml:id="echoid-s6257" xml:space="preserve">inuentum primum. </s>
            <s xml:id="echoid-s6258" xml:space="preserve">
              <lb/>
            Duco etiam ſinum altitudinis Solis in totum, & </s>
            <s xml:id="echoid-s6259" xml:space="preserve">diuido productum in ſinum complemẽ
              <lb/>
            ti altitudinis poli, quotiens dabit 105405. </s>
            <s xml:id="echoid-s6260" xml:space="preserve">inuentum ſecundum, ſubtraho iam hoc ab in-
              <lb/>
            uento primo, & </s>
            <s xml:id="echoid-s6261" xml:space="preserve">remanent 27396. </s>
            <s xml:id="echoid-s6262" xml:space="preserve">id rurſus duco in ſinum totum, & </s>
            <s xml:id="echoid-s6263" xml:space="preserve">diuido in ſinũ com
              <lb/>
            plemẽti declinationis. </s>
            <s xml:id="echoid-s6264" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s6265" xml:space="preserve">93544. </s>
            <s xml:id="echoid-s6266" xml:space="preserve">quotiens eſt 29286. </s>
            <s xml:id="echoid-s6267" xml:space="preserve">inuentum tertium, hoc quia minus
              <lb/>
            ſubtraho à toto, & </s>
            <s xml:id="echoid-s6268" xml:space="preserve">remanent 70714. </s>
            <s xml:id="echoid-s6269" xml:space="preserve">arcus eius eſt 45. </s>
            <s xml:id="echoid-s6270" xml:space="preserve">gra, quibus ſubductis à 90. </s>
            <s xml:id="echoid-s6271" xml:space="preserve">reliqui
              <lb/>
            manent 45. </s>
            <s xml:id="echoid-s6272" xml:space="preserve">gra, horæ ſcilicet tres, & </s>
            <s xml:id="echoid-s6273" xml:space="preserve">quando tempus iſtud fuit antemeridianum, numera
              <lb/>
            tres horas à 12. </s>
            <s xml:id="echoid-s6274" xml:space="preserve">retrorſum, at habebis horã 9. </s>
            <s xml:id="echoid-s6275" xml:space="preserve">eam qua ſolennis & </s>
            <s xml:id="echoid-s6276" xml:space="preserve">fœlix illa optimi Præ
              <lb/>
            ſulis facta eſt intronizatio.</s>
            <s xml:id="echoid-s6277" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div179" type="section" level="1" n="93">
          <head xml:id="echoid-head97" xml:space="preserve">PRONVNCIATVM LXXXI.</head>
          <p>
            <s xml:id="echoid-s6278" xml:space="preserve">Altitudine poli Borealis ſuper ſemicirculum poſitionis cognita, etiã arcũ
              <lb/>
            æquatoris inuenire, qui meridiano & </s>
            <s xml:id="echoid-s6279" xml:space="preserve">illo ſemicirculo poſitionis includitur.</s>
            <s xml:id="echoid-s6280" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6281" xml:space="preserve">Propone hic tibi ſinum latitudinis tuæ regionis, & </s>
            <s xml:id="echoid-s6282" xml:space="preserve">ſinum altitudinis poli ſupra ſemi-
              <lb/>
            circulum poſitionis, minorem duc in totum, productum in maiorem diuide, quotientis ar
              <lb/>
            cum ſubtrahe de quadrante, & </s>
            <s xml:id="echoid-s6283" xml:space="preserve">ſinum huius complemẽti, ſimiliter & </s>
            <s xml:id="echoid-s6284" xml:space="preserve">ſinum complemen
              <lb/>
            ti altitudinis poli Borealis ſupra ſemicirculum poſitionis ſepone in locum aliquem, mi-
              <lb/>
            norem duc in totum, & </s>
            <s xml:id="echoid-s6285" xml:space="preserve">diuide cum maiori, arcus quotientis ex 90. </s>
            <s xml:id="echoid-s6286" xml:space="preserve">ſublatus, relinquet ar
              <lb/>
            cum æ quatoris quæſitũ. </s>
            <s xml:id="echoid-s6287" xml:space="preserve">?</s>
            <s xml:id="echoid-s6288" xml:space="preserve">? Iam exemplũ hoc mihi uide, Cupio inuenire arcum æqua
              <lb/>
              <note position="right" xlink:label="note-0077-01" xlink:href="note-0077-01a" xml:space="preserve">EXEM-
                <lb/>
              PLVM
                <lb/>
              E
                <emph style="it">piſcopi.</emph>
              </note>
            toris, qui inter meridianum & </s>
            <s xml:id="echoid-s6289" xml:space="preserve">ſemicirculum poſitionis in ipſa hora intronizationis per
              <lb/>
            corpus Solis deductum concluſus eſt, ſinum igitur altitudinis poliſuper eundem ſemi-
              <lb/>
            circulum poſitionis inueni ex ſuperiori pronunc. </s>
            <s xml:id="echoid-s6290" xml:space="preserve">51155. </s>
            <s xml:id="echoid-s6291" xml:space="preserve">eum duco in totum, & </s>
            <s xml:id="echoid-s6292" xml:space="preserve">produ-
              <lb/>
            ctum diuido in ſinum latitudinis regionis, quæ eſt ibi 48. </s>
            <s xml:id="echoid-s6293" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6294" xml:space="preserve">20. </s>
            <s xml:id="echoid-s6295" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6296" xml:space="preserve">ſinus eius eſt 74702
              <lb/>
            quotiens producit 68478. </s>
            <s xml:id="echoid-s6297" xml:space="preserve">concludit´ 43. </s>
            <s xml:id="echoid-s6298" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6299" xml:space="preserve">13. </s>
            <s xml:id="echoid-s6300" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6301" xml:space="preserve">quibus ſubtractis de 90. </s>
            <s xml:id="echoid-s6302" xml:space="preserve">manẽt 46.
              <lb/>
            </s>
            <s xml:id="echoid-s6303" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6304" xml:space="preserve">47 mi. </s>
            <s xml:id="echoid-s6305" xml:space="preserve">cuius ſinum 72876, duco in totum, & </s>
            <s xml:id="echoid-s6306" xml:space="preserve">diuido in ſinum complementi altitudi-
              <lb/>
            nis poli ſuper ſemicirculũ poſitionis. </s>
            <s xml:id="echoid-s6307" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s6308" xml:space="preserve">85925. </s>
            <s xml:id="echoid-s6309" xml:space="preserve">proueniunt in quotiente 84814. </s>
            <s xml:id="echoid-s6310" xml:space="preserve">arcus ipſe
              <lb/>
            eſt 58. </s>
            <s xml:id="echoid-s6311" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6312" xml:space="preserve">1. </s>
            <s xml:id="echoid-s6313" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6314" xml:space="preserve">quibus de 90. </s>
            <s xml:id="echoid-s6315" xml:space="preserve">ademptus, remanet 31. </s>
            <s xml:id="echoid-s6316" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6317" xml:space="preserve">59. </s>
            <s xml:id="echoid-s6318" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6319" xml:space="preserve">arcus ille æquatoris
              <lb/>
            quæſitus.</s>
            <s xml:id="echoid-s6320" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div181" type="section" level="1" n="94">
          <head xml:id="echoid-head98" xml:space="preserve">PRONVNCIATVM LXXXII.</head>
          <p>
            <s xml:id="echoid-s6321" xml:space="preserve">Quum iam altitudo poli ſuper ſemicirculum poſitionis cognitus eſt, de-
              <lb/>
            hinc arcum circuli uerticalis inter zenith & </s>
            <s xml:id="echoid-s6322" xml:space="preserve">iſtum ſemicirculum poſitionis
              <lb/>
            concluſum inueſtigare.</s>
            <s xml:id="echoid-s6323" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6324" xml:space="preserve">Non te deterreat ne moueat pronunciati huius breuitas, nam quo paucioribus uer-
              <lb/>
            bis traditur, eò tam facilius intelligetur, tamen expeditius uſurpari poterit, unde magnũ
              <lb/>
            fructum ex hac re in Aſtrolabio noſtro reportabis. </s>
            <s xml:id="echoid-s6325" xml:space="preserve">Hic ergo tibi proponeutrun ſinum
              <lb/>
            altitudinis poli tuæ regionis, & </s>
            <s xml:id="echoid-s6326" xml:space="preserve">illius quo ſupra ſemicirculum poſitionis, minorẽ duc
              <lb/>
            in totum, productum diuide in maiorem, & </s>
            <s xml:id="echoid-s6327" xml:space="preserve">arcus quotientis monſtrabit tibi arcum cir-
              <lb/>
            culi uerticalis, ?</s>
            <s xml:id="echoid-s6328" xml:space="preserve">? Ecce en altitudo poli Auguſtæ eſt 48. </s>
            <s xml:id="echoid-s6329" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6330" xml:space="preserve">20. </s>
            <s xml:id="echoid-s6331" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6332" xml:space="preserve">& </s>
            <s xml:id="echoid-s6333" xml:space="preserve">ſub horam intro
              <lb/>
            nizationis fuit altitudo poli ſuper ſemicirculum poſitionis, qui per corpus Solis ducitur
              <lb/>
              <note position="right" xlink:label="note-0077-02" xlink:href="note-0077-02a" xml:space="preserve">EXEM-
                <lb/>
              PLVM
                <lb/>
              E
                <emph style="it">piſcopi.</emph>
              </note>
            30. </s>
            <s xml:id="echoid-s6334" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6335" xml:space="preserve">46. </s>
            <s xml:id="echoid-s6336" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6337" xml:space="preserve">ſinũ eius 51155. </s>
            <s xml:id="echoid-s6338" xml:space="preserve">duco in totũ, & </s>
            <s xml:id="echoid-s6339" xml:space="preserve">productum diuido in ſinũ altitudinis po
              <lb/>
            li 74702. </s>
            <s xml:id="echoid-s6340" xml:space="preserve">q̊tiens erit 68479. </s>
            <s xml:id="echoid-s6341" xml:space="preserve">ipſe aũt arcus eſt 43. </s>
            <s xml:id="echoid-s6342" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6343" xml:space="preserve">13. </s>
            <s xml:id="echoid-s6344" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6345" xml:space="preserve">arcus ille quem optabam.</s>
            <s xml:id="echoid-s6346" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div183" type="section" level="1" n="95">
          <head xml:id="echoid-head99" xml:space="preserve">PRONVNCIATVM LXXXIII.</head>
          <p>
            <s xml:id="echoid-s6347" xml:space="preserve">Si arcus æquatoris à meridiano ſumatur uſ ad ſemicirculum poſitionis,
              <lb/>
            altitudinem per hoc poli ſuper ſemicirculum illum poſitionis perquirere.</s>
            <s xml:id="echoid-s6348" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6349" xml:space="preserve">Fac age ducas æquatoris ſinum complementi iſtius arcus æquatoris in ſinum latitu-
              <lb/>
            dinis regionis, & </s>
            <s xml:id="echoid-s6350" xml:space="preserve">dehinc diuide productum in totum, arcum uero quotientis ſubtrahe de
              <lb/>
            90. </s>
            <s xml:id="echoid-s6351" xml:space="preserve">& </s>
            <s xml:id="echoid-s6352" xml:space="preserve">ad ſinum reſidui confer ſinum complementi altitudinis poli, minorem duc in totũ
              <lb/>
            & </s>
            <s xml:id="echoid-s6353" xml:space="preserve">in maiorem diuide, tunc complementum arcus quotientis dabit altitudinẽ poli </s>
          </p>
        </div>
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