Clavius, Christoph, Gnomonices libri octo, in quibus non solum horologiorum solariu[m], sed aliarum quo[quam] rerum, quae ex gnomonis umbra cognosci possunt, descriptiones geometricè demonstrantur

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          <pb o="458" file="0474" n="474" rhead="GNOMONICES"/>
          <p style="it">
            <s xml:id="echoid-s30298" xml:space="preserve">QVOD ſi planum ex parte auſtr ali eleuetur ſupra Horizontem, ſecet{q́ue} Meridianum inter Hori-
              <lb/>
              <note position="left" xlink:label="note-0474-01" xlink:href="note-0474-01a" xml:space="preserve">Quando planũ
                <lb/>
              ex parte auſtra
                <lb/>
              li inclinatum
                <lb/>
              eſt ad Horizon
                <lb/>
              tem vbieunq;
                <lb/>
              Meridianũ ſe-
                <lb/>
              cet, quo pacto
                <lb/>
              diſtãtia minor
                <lb/>
              Solis à meri-
                <lb/>
              die, cum in ce
                <lb/>
              plano exiſtit, in
                <lb/>
              @@niatur.</note>
            zontẽ & </s>
            <s xml:id="echoid-s30299" xml:space="preserve">parallelum auſtralem, vt in quarta figura, inuestigabimus diſtantiam Solis à meridie, vt in pri-
              <lb/>
            ma figura, vbi planum ex parte boreali inclinatum ſecat Meridianum inter Horizontem, & </s>
            <s xml:id="echoid-s30300" xml:space="preserve">polum ar-
              <lb/>
              <figure xlink:label="fig-0474-01" xlink:href="fig-0474-01a" number="311">
                <image file="0474-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0474-01"/>
              </figure>
              <note position="left" xlink:label="note-0474-02" xlink:href="note-0474-02a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0474-03" xlink:href="note-0474-03a" xml:space="preserve">20</note>
            cticum. </s>
            <s xml:id="echoid-s30301" xml:space="preserve">Si autem planum ſecet Meridianum inter Aequatorem, & </s>
            <s xml:id="echoid-s30302" xml:space="preserve">parallelum australem, vt in quinta
              <lb/>
              <note position="left" xlink:label="note-0474-04" xlink:href="note-0474-04a" xml:space="preserve">30</note>
            figura, auferendus eſt arcus Aequatoris E K, inter planum & </s>
            <s xml:id="echoid-s30303" xml:space="preserve">Meridianum ex arcu T K, qui inter pla-
              <lb/>
            num, & </s>
            <s xml:id="echoid-s30304" xml:space="preserve">circulum declinationis interijcitur, vt relinquatur arcus E T, qui ſimilis est arcui H R, di-
              <lb/>
            ſtantiæ Solis à meridie in parallelo auſtrali: </s>
            <s xml:id="echoid-s30305" xml:space="preserve">Eidem verò arcui E K, adijciendus eſt arcus P K, vt con-
              <lb/>
            ficiatur arcus E P, qui ſimilis eſt arcui H M, diſtantiæ Solis à meridie in parallelo boreali oppoſito. </s>
            <s xml:id="echoid-s30306" xml:space="preserve">Si
              <lb/>
            denique planum inclinatum ex parte auſtrali ſecet Meridianum inter Aequatorem, & </s>
            <s xml:id="echoid-s30307" xml:space="preserve">parallelum bo-
              <lb/>
            realem, vel inter verticem loci, & </s>
            <s xml:id="echoid-s30308" xml:space="preserve">parallelum borealem, inquirenda erit diſtantia Solis à meridie, vt
              <lb/>
            in tertia figura, vbi planum ex parte boreali inclinatum ſecat Meridianum inter Aequatorem, & </s>
            <s xml:id="echoid-s30309" xml:space="preserve">pa-
              <lb/>
            rallelum borealem; </s>
            <s xml:id="echoid-s30310" xml:space="preserve">vel, vt in ſecunda figura, vbi planum ex parte boreali inclinatum ſecat Meridianum
              <lb/>
            inter polum arcticum, & </s>
            <s xml:id="echoid-s30311" xml:space="preserve">par allelum borealem.</s>
            <s xml:id="echoid-s30312" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">Maior diſtan-
            <lb/>
          tia Solis à me-
            <lb/>
          ridie, cum in
            <lb/>
          plano inclina-
            <lb/>
          to, & parallelo
            <lb/>
          quocunque exi
            <lb/>
          ſſit, qua ratio-
            <lb/>
          ne inueſtige-
            <lb/>
          tut.</note>
          <p style="it">
            <s xml:id="echoid-s30313" xml:space="preserve">HACTENVS minorem arcum diſtantiæ Solis à meridie in quouis parallelo inueſtigauimus ex
              <lb/>
              <note position="left" xlink:label="note-0474-06" xlink:href="note-0474-06a" xml:space="preserve">40</note>
            minori arcu Aequatoris inter planum inclinatum, & </s>
            <s xml:id="echoid-s30314" xml:space="preserve">Meridianum interiecto, qualis est E K. </s>
            <s xml:id="echoid-s30315" xml:space="preserve">Quod ſi
              <lb/>
            dictum arcum Aequatoris E K, ex ſemicirculo K L, detr ahamus, remanebit maior arcus Aequatoris
              <lb/>
            E L, qui ex altera parte inter planum, & </s>
            <s xml:id="echoid-s30316" xml:space="preserve">Meridianum interijcitur, per quem explorabimus eodem
              <lb/>
            prorſus modo maiorem diſtantiam Solis in quouis parallelo, id eſt, arcu
              <unsure/>
            m H N, vel H S, addendo ni-
              <lb/>
            mirum arcum Q L, vel V L, arcui E L, aut ſubtrahendo, vt dictum est.</s>
            <s xml:id="echoid-s30317" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s30318" xml:space="preserve">QV ANDO planum ſecat Meridianum inter Aequatorem, & </s>
            <s xml:id="echoid-s30319" xml:space="preserve">parallelum borealem, vt in tertia
              <lb/>
              <note position="left" xlink:label="note-0474-07" xlink:href="note-0474-07a" xml:space="preserve">Quando paral
                <lb/>
              leius duobus
                <lb/>
              in punctis ſiue
                <lb/>
              ex parte orien-
                <lb/>
              tali, ſive occi-
                <lb/>
              deatali, à pla-
                <lb/>
              no inclinato ſe
                <lb/>
              catur, qua tatio
                <lb/>
              ne maior diſtã
                <lb/>
              tia Solis à me-
                <lb/>
              ridie inquira-
                <lb/>
              tur.</note>
            figura, atq; </s>
            <s xml:id="echoid-s30320" xml:space="preserve">adeò parallelus ipſe ab eodẽ plano duobus in punctis occidẽtalibus, oriẽtalibus ve ſecatur, au
              <lb/>
            ferendus eſt arcus Q L, ex arcu E L, vt relinquatur arcus Aequatoris E Q, qui ſimilis eſt arcui H N,
              <lb/>
            hoc eſt, maiori diſtantiæ Solis à meridie in parallelo boreali. </s>
            <s xml:id="echoid-s30321" xml:space="preserve">Ex hoc arcu H N, ſi aufer atur minor diſtan-
              <lb/>
            tia à meridie H M, notus relinquetur arcus paralleli borealis M N, qui quoniam per propoſ. </s>
            <s xml:id="echoid-s30322" xml:space="preserve">19. </s>
            <s xml:id="echoid-s30323" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s30324" xml:space="preserve">2.
              <lb/>
            </s>
            <s xml:id="echoid-s30325" xml:space="preserve">
              <note position="left" xlink:label="note-0474-08" xlink:href="note-0474-08a" xml:space="preserve">50</note>
            Theod. </s>
            <s xml:id="echoid-s30326" xml:space="preserve">æqualis est alterno ſegmento paralleli auſtralis oppoſiti, ſi ad arcũ H R, minoris diſtantiæ Solis à
              <lb/>
            meridie in parallelo australi adijciatur arcus æqualis arcui M N, habebitur maior diſtantia Solis à me-
              <lb/>
            ridie in parallelo oppoſito auſtrali. </s>
            <s xml:id="echoid-s30327" xml:space="preserve">Quando denique planum ſecat Meridianum inter Aequatorem, & </s>
            <s xml:id="echoid-s30328" xml:space="preserve">
              <lb/>
            parallelum australem, vt in quinta figura, atque adeò parallelus ipſe ab eodem plano duobus in punctis
              <lb/>
            orientalibus, occidentalibusve ſecatur, auferendus quoque eſt arcus V L, ex arcu E L, vt relinquatur
              <lb/>
            arcus Aequatoris E V, qui ſimilis eſt arcui H S, hoc eſt, maiori diſtantiæ Solis à meridie in parallelo
              <lb/>
            australi. </s>
            <s xml:id="echoid-s30329" xml:space="preserve">Ex hoc arcu H S, ſi auferatur minor diſtantia Solis à meridie H R, notus relinquetur arcus
              <lb/>
            paralleli auſtralis R S, qui quoniam per propoſ. </s>
            <s xml:id="echoid-s30330" xml:space="preserve">19. </s>
            <s xml:id="echoid-s30331" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s30332" xml:space="preserve">2. </s>
            <s xml:id="echoid-s30333" xml:space="preserve">Theod. </s>
            <s xml:id="echoid-s30334" xml:space="preserve">æqualis eſt alterno ſegmento paralle-
              <lb/>
            li borealis oppoſiti, ſi ad ar cum H M, minoris diſtantiæ Solis à meridie in parallelo borcali adij ciatur ar-
              <lb/>
            cus æqualis arcui R S, habebitur maior diſtantia Solis à meridie in parallelo oppoſito boreali.</s>
            <s xml:id="echoid-s30335" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s30336" xml:space="preserve">REM hanc totam vnico exemplo illuſtrabimus. </s>
            <s xml:id="echoid-s30337" xml:space="preserve">Ponatur planum ad Horizontem rectum, declinãs
              <lb/>
              <note position="left" xlink:label="note-0474-09" xlink:href="note-0474-09a" xml:space="preserve">Exemplum.</note>
            </s>
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