Apian, Petrus, Instrvmentvm Sinvvm, sev primi mobilis

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        <div xml:id="echoid-div129" type="section" level="1" n="69">
          <p>
            <s xml:id="echoid-s4135" xml:space="preserve">
              <pb file="0060" n="60" rhead="GENVINVS VSVS"/>
            ſuperficiei ipſius meridianiad angulos rectos ſunt compoſiæ.</s>
            <s xml:id="echoid-s4136" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4137" xml:space="preserve">Intellige hic ſuperficies quæ directe uerſus meridiẽ uel ſeptẽtrionẽ inclinant̃, qua in re
              <lb/>
            experimentũ habes in tectis ædiũ, maxime uero ſacrarũ, quæ ita extrui ſolẽt, antiqua & </s>
            <s xml:id="echoid-s4138" xml:space="preserve">
              <lb/>
            religioſa conſuetudine, ut ortũ reſpiciãt æquinoctia lis, quapropter neceſſario tecta earũ
              <lb/>
            uergunt ad meridiẽ & </s>
            <s xml:id="echoid-s4139" xml:space="preserve">ſeptentrionẽ. </s>
            <s xml:id="echoid-s4140" xml:space="preserve">Si igit̃ uoles ibi lineas horarias ducere, præſcienda
              <lb/>
            tibi eſt altitudo poli, quanta ea ſit ſuper iſto plano, qua inuenta, quæres arcus horizõtis
              <lb/>
            & </s>
            <s xml:id="echoid-s4141" xml:space="preserve">uerticalis inter meridianũ & </s>
            <s xml:id="echoid-s4142" xml:space="preserve">circulũ horariũ, ſicut in 4. </s>
            <s xml:id="echoid-s4143" xml:space="preserve">ſuꝑioribus ꝓnunciatis edoctus
              <lb/>
            es. </s>
            <s xml:id="echoid-s4144" xml:space="preserve">Sin a ũt cupis eleuationẽ poli oim facilime inuenire, age fac ſemicirculũ tibi deſcribas
              <lb/>
            ex centro A, ipſum quo ſemicirculũ dic B C D, & </s>
            <s xml:id="echoid-s4145" xml:space="preserve">diuide eundẽ more aſtronomico in
              <lb/>
            2. </s>
            <s xml:id="echoid-s4146" xml:space="preserve">qua drãtes, & </s>
            <s xml:id="echoid-s4147" xml:space="preserve">quẽlibet horũ in 90. </s>
            <s xml:id="echoid-s4148" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s4149" xml:space="preserve">ꝙ ſi etiã numeros huc ſpectantes adſcribere uo-
              <lb/>
              <note position="left" xlink:label="note-0060-01" xlink:href="note-0060-01a" xml:space="preserve">EXEM-
                <lb/>
              PLVM
                <lb/>
                <emph style="it">Epiſoo
                  <unsure/>
                pi.</emph>
              </note>
            les, iuſto ordine graduũ obſeruato, incipe iuxta lineã A C, & </s>
            <s xml:id="echoid-s4150" xml:space="preserve">eleuationẽ polarẽ tuã pone
              <lb/>
            iuxta C, ſic em̃ in ciuitate qua ſolennis illa facta eſt intronizatio, eſt altitudo poli 48. </s>
            <s xml:id="echoid-s4151" xml:space="preserve">gr.
              <lb/>
            </s>
            <s xml:id="echoid-s4152" xml:space="preserve">
              <figure xlink:label="fig-0060-01" xlink:href="fig-0060-01a" number="10">
                <image file="0060-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0060-01"/>
              </figure>
            ita 48. </s>
            <s xml:id="echoid-s4153" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s4154" xml:space="preserve">adſcribe literæ C, deinde
              <lb/>
            ex ordine procede per 50. </s>
            <s xml:id="echoid-s4155" xml:space="preserve">60. </s>
            <s xml:id="echoid-s4156" xml:space="preserve">70. </s>
            <s xml:id="echoid-s4157" xml:space="preserve">80.
              <lb/>
            </s>
            <s xml:id="echoid-s4158" xml:space="preserve">uſ in 90. </s>
            <s xml:id="echoid-s4159" xml:space="preserve">ubi adſcribe H, mox inci-
              <lb/>
            pe iuxta D42. </s>
            <s xml:id="echoid-s4160" xml:space="preserve">& </s>
            <s xml:id="echoid-s4161" xml:space="preserve">retrorſum ſcribe uer
              <lb/>
            ſus H, 50. </s>
            <s xml:id="echoid-s4162" xml:space="preserve">60. </s>
            <s xml:id="echoid-s4163" xml:space="preserve">70. </s>
            <s xml:id="echoid-s4164" xml:space="preserve">80. </s>
            <s xml:id="echoid-s4165" xml:space="preserve">90. </s>
            <s xml:id="echoid-s4166" xml:space="preserve">ita ut nume-
              <lb/>
            rus hic poſtremus rurſus incidat ſuꝑ
              <lb/>
            H, deinde incipe etiam in B, & </s>
            <s xml:id="echoid-s4167" xml:space="preserve">ſuper
              <lb/>
            illud pone complementum altitudi-
              <lb/>
            nispoli, puta 42. </s>
            <s xml:id="echoid-s4168" xml:space="preserve">ſiquidẽ D & </s>
            <s xml:id="echoid-s4169" xml:space="preserve">B pro
              <lb/>
            uno puncto computantur, & </s>
            <s xml:id="echoid-s4170" xml:space="preserve">ſic ſcri-
              <lb/>
            be uerſus C retrorſum 30. </s>
            <s xml:id="echoid-s4171" xml:space="preserve">20. </s>
            <s xml:id="echoid-s4172" xml:space="preserve">10. </s>
            <s xml:id="echoid-s4173" xml:space="preserve">0. </s>
            <s xml:id="echoid-s4174" xml:space="preserve">
              <lb/>
            ubi et repone G, quoniam à Guſ in
              <lb/>
            B ſitum eſſe debet complementum al
              <lb/>
            titudinis poli, & </s>
            <s xml:id="echoid-s4175" xml:space="preserve">à Gin Caltitudo ip
              <lb/>
            ſa poli, ordire igitur iuxta literam G 0. </s>
            <s xml:id="echoid-s4176" xml:space="preserve">10. </s>
            <s xml:id="echoid-s4177" xml:space="preserve">20. </s>
            <s xml:id="echoid-s4178" xml:space="preserve">30. </s>
            <s xml:id="echoid-s4179" xml:space="preserve">40. </s>
            <s xml:id="echoid-s4180" xml:space="preserve">48. </s>
            <s xml:id="echoid-s4181" xml:space="preserve">Poſtea duc lineas duasex lite-
              <lb/>
            ra A, alteram uſ in G, alteram autem uſ ad H. </s>
            <s xml:id="echoid-s4182" xml:space="preserve">Ex litera C etiam educ æquidiſtan-
              <lb/>
            tem uerſus lineam B A D, & </s>
            <s xml:id="echoid-s4183" xml:space="preserve">ex D facut DE, æquidiſtans ſit A C, ſimiliter & </s>
            <s xml:id="echoid-s4184" xml:space="preserve">B F. </s>
            <s xml:id="echoid-s4185" xml:space="preserve">At
              <lb/>
            in hunc modum habebis parallelogramum ea figura, cuius hic exemplar ſubiectum eſt. </s>
            <s xml:id="echoid-s4186" xml:space="preserve">
              <lb/>
            Præterea ſcribe à B uſ in G
              <emph style="sc">ALTITVDO POLI SVPER VERTICEM</emph>
            , ab
              <emph style="sc">H</emph>
              <lb/>
              <note position="left" xlink:label="note-0060-02" xlink:href="note-0060-02a" xml:space="preserve">
                <emph style="it">Quo pacto</emph>
                <lb/>
                <emph style="it">eleuatio po</emph>
                <lb/>
                <emph style="it">li, in ſuper</emph>
                <lb/>
                <emph style="it">fiaebus de-</emph>
                <lb/>
                <emph style="it">clinantibus</emph>
                <lb/>
                <emph style="it">ad meridië</emph>
                <lb/>
                <emph style="it">uel ſepten-</emph>
                <lb/>
                <emph style="it">trienem ſit</emph>
                <lb/>
                <emph style="it">inueſtigäda</emph>
              </note>
            autem in D, & </s>
            <s xml:id="echoid-s4187" xml:space="preserve">à G per Cuſ ad H, ALTITVDO SVPER HORIZONTEM.</s>
            <s xml:id="echoid-s4188" xml:space="preserve">
              <lb/>
            ſuper lineam autem DE, SEPTENTRIO:</s>
            <s xml:id="echoid-s4189" xml:space="preserve"> & </s>
            <s xml:id="echoid-s4190" xml:space="preserve">ſuper lineam BF,
              <emph style="sc">MERIDIES</emph>
            . </s>
            <s xml:id="echoid-s4191" xml:space="preserve">Fi-
              <lb/>
            lum deinde cum plumbi lamina ſuſpende in centrum A, & </s>
            <s xml:id="echoid-s4192" xml:space="preserve">habebis in ſtrumentum para
              <lb/>
            tum ad quemcun uſum. </s>
            <s xml:id="echoid-s4193" xml:space="preserve">Quod ſi deinceps uoles eleuationem poli ſuper inclinata ſuper
              <lb/>
            ſicie obſeruare, inſtrumentum hoc colloca cum linea F C E ſuper iſtud planum directe
              <lb/>
            ſuper lineam meridianam, & </s>
            <s xml:id="echoid-s4194" xml:space="preserve">quocun ceciderit ſilum, ibi noris eſſe altitudinem poli
              <lb/>
            ſuper eadem ſuperficie. </s>
            <s xml:id="echoid-s4195" xml:space="preserve">Et ſi cadat filum ſuper aliquem giadum in altitudine uerticali,
              <lb/>
            tunc iuxta 55. </s>
            <s xml:id="echoid-s4196" xml:space="preserve">uel 56 propoſitionem fac horalogium uerticale. </s>
            <s xml:id="echoid-s4197" xml:space="preserve">Sin autem ceciderit ſu-
              <lb/>
            per gradus altitudinis poli ſupra horizontem, confice ſecundum 52. </s>
            <s xml:id="echoid-s4198" xml:space="preserve">53. </s>
            <s xml:id="echoid-s4199" xml:space="preserve">aut 54. </s>
            <s xml:id="echoid-s4200" xml:space="preserve">pronunci
              <lb/>
            atum horalogium horizontale, & </s>
            <s xml:id="echoid-s4201" xml:space="preserve">erit illud rectum at accomodatum ad iſtam ſuperfici
              <lb/>
            em. </s>
            <s xml:id="echoid-s4202" xml:space="preserve">Sedſi planum deorſum fuerit inclinatum, ut ſi interiori parte alicuius tecti cupias
              <lb/>
            horalogium Solare componere, dummodo illuc radij Solares pertingere queant, lineæ
              <lb/>
            meridianæ, quam ſemper primo ſignari oportet, adhibe inſtrumentum cum linea B A
              <lb/>
            D, & </s>
            <s xml:id="echoid-s4203" xml:space="preserve">filum monſtrabit tibi eleuationem polarem eius ſuperficiei. </s>
            <s xml:id="echoid-s4204" xml:space="preserve">Attende tamen, ut
              <lb/>
            ſemper latus B F uerſus meridiem conuertas, ſicut ex ſubiecta figura ipſe uidere potes
              <lb/>
            Quomodo autem iſtiuſmodi horalogia ſine ullo inſtrumento, at citra beneficium ta-
              <lb/>
            bularum, in quacun poſitione ſuperficierum confici & </s>
            <s xml:id="echoid-s4205" xml:space="preserve">componi queãt, in noſtris libris
              <lb/>
            umbrarum habunde ſatis explicatum uidebis. </s>
            <s xml:id="echoid-s4206" xml:space="preserve">Præterea quod amplius ad horarum diui-
              <lb/>
            ſionem pertinet, ſuper quacun ſuperficie oblata, ne ſatis conſentaneum fuerit, ne
              <lb/>
            noſtri iam eſt inſtituti hocloco recenſere longius, ſed in libris noſtris umbrarum ampli-
              <lb/>
            us intelliges, ſiquidem in ijs omnia quæ ad hanc rem referri poſſunt, adamuſsim expen-
              <lb/>
            dimus & </s>
            <s xml:id="echoid-s4207" xml:space="preserve">explicauimus.</s>
            <s xml:id="echoid-s4208" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
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