Clavius, Christoph, In Sphaeram Ioannis de Sacro Bosco commentarius

Table of contents

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[371.] THEORICA ORBIVM.
Page: 505 (468)
[372.] ET MOTVVM @. ♃. ***.
Page: 506 (469)
[373.] THEORICA ORBIVM.
Page: 507 (470)
[374.] ET MOTVVM ♀ VENERIS.
Page: 508 (471)
[375.] ET MOTVM ☿ MERCVRII.
Page: 510 (473)
[376.] THEORICA ORBIVM, ETMOTVVM
Page: 511 (474)
[377.] PRIMI MOBILIS, NONAE SPHAERAE, ET OCTAVAE
Page: 512 (475)
[378.] DEFINITIONES TERMINORVM
Page: 513 (476)
[379.] ASTRONOMICORVM.
Page: 514 (477)
[380.] DEFINITIONES TERMINORVM.
Page: 515 (478)
[381.] ASTRONOMICORVM.
Page: 516 (479)
[382.] PASSIONES
Page: 517 (480)
[383.] PLANETARVM.
Page: 518 (481)
[384.] PASSIONES
Page: 519 (482)
[385.] PLANETARVM
Page: 520 (483)
[386.] FINIS QVARTI CAPITIS.
Page: 520 (483)
[387.] REGESTVM. † † † ABCDEFGHIKLMNOPQRS TVXYZ.
Page: 521
[388.] VENETIIIS. M D XCI.
Page: 521
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          <p>
            <s xml:id="echoid-s14730" xml:space="preserve">
              <pb o="339" file="375" n="376" rhead="Ioan. de Sacro Boſco."/>
            @@tes in rebus Aſtronomicis, ut ex ijs conſtat aliqua ex parte, quæ in Gnomo-
              <lb/>
            nica de aſcendentibus ſignis ſcripſimus.</s>
            <s xml:id="echoid-s14731" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s14732" xml:space="preserve">
              <emph style="sc">Invenies</emph>
            autem ex hiſce tabulis aſcenſionum obliquarum aſcenſionẽ
              <lb/>
              <note position="right" xlink:label="note-375-01" xlink:href="note-375-01a" xml:space="preserve">Qno pact@
                <lb/>
              ex t
                <unsure/>
              abulis
                <lb/>
              aſeenſionũ@
                <lb/>
              obliquarũ
                <lb/>
              aſcenſione,
                <lb/>
              obliquæ, &
                <lb/>
              deſcẽnones
                <lb/>
              inueniatur.</note>
            obliquam cuiuslibet arcus, non ſecus, ac in uſu tabulæ aſcenſionum rectarum
              <lb/>
            expoſitum eſt, ſumendo tamen tabulam aſcenſionum obliquarum illius ele-
              <lb/>
            uationis poli, in qua aſcenſiones obliquas perquiris. </s>
            <s xml:id="echoid-s14733" xml:space="preserve">At uero Deſcenſionem
              <lb/>
            cuiuſque arcus ita explorabis in ſphæra quauis obliqua. </s>
            <s xml:id="echoid-s14734" xml:space="preserve">Nam in recta ſphæra
              <lb/>
            æquales ſunt aſcenſio, & </s>
            <s xml:id="echoid-s14735" xml:space="preserve">deſcenſio eiuſdem arcus. </s>
            <s xml:id="echoid-s14736" xml:space="preserve">Oſtenſum eſt, aſcenſionem
              <lb/>
            cuiuslibet arcus æqualem eſſe de ſcenſioni arcus oppoſiti, & </s>
            <s xml:id="echoid-s14737" xml:space="preserve">deſcenſionẽ arcus
              <lb/>
            cuiuſuis æqualem aſcenſioni arcus oppoſiti, idcirco ſi quæratur deſcẽſio alicu-
              <lb/>
            ius arcus, inueſtiganda erit aſcenſio arcus oppoſiti. </s>
            <s xml:id="echoid-s14738" xml:space="preserve">Nam hæc erit deſcenſio
              <lb/>
            propoſiti arcus. </s>
            <s xml:id="echoid-s14739" xml:space="preserve">EXEMPLVM. </s>
            <s xml:id="echoid-s14740" xml:space="preserve">Deſideratur deſcenſio arcus ab ♈, uſque
              <lb/>
            ad grad 8. </s>
            <s xml:id="echoid-s14741" xml:space="preserve">♍. </s>
            <s xml:id="echoid-s14742" xml:space="preserve">Romæ, ubi polus eleuatur 42. </s>
            <s xml:id="echoid-s14743" xml:space="preserve">grad. </s>
            <s xml:id="echoid-s14744" xml:space="preserve">Arcus oppoſicus eſt à ♎, vſq;
              <lb/>
            </s>
            <s xml:id="echoid-s14745" xml:space="preserve">ad grad. </s>
            <s xml:id="echoid-s14746" xml:space="preserve">8. </s>
            <s xml:id="echoid-s14747" xml:space="preserve">♓, & </s>
            <s xml:id="echoid-s14748" xml:space="preserve">quoniam grad. </s>
            <s xml:id="echoid-s14749" xml:space="preserve">8. </s>
            <s xml:id="echoid-s14750" xml:space="preserve">♓, aſcendunt cum Aequatoris grad 347. </s>
            <s xml:id="echoid-s14751" xml:space="preserve">min. </s>
            <s xml:id="echoid-s14752" xml:space="preserve">
              <lb/>
            29. </s>
            <s xml:id="echoid-s14753" xml:space="preserve">incipiendo ab ♈, ſi detrahantur 180. </s>
            <s xml:id="echoid-s14754" xml:space="preserve">grad. </s>
            <s xml:id="echoid-s14755" xml:space="preserve">nempe ſemicirculus ab ♈, uſque
              <lb/>
            ad ♎, remanebit aſcenſio arcus à ♎, uſque ad grad. </s>
            <s xml:id="echoid-s14756" xml:space="preserve">8. </s>
            <s xml:id="echoid-s14757" xml:space="preserve">♓, hoc eſt, deſcenſio ar-
              <lb/>
            cus ab ♈, @ſque ad grad. </s>
            <s xml:id="echoid-s14758" xml:space="preserve">8. </s>
            <s xml:id="echoid-s14759" xml:space="preserve">♍, grad. </s>
            <s xml:id="echoid-s14760" xml:space="preserve">167. </s>
            <s xml:id="echoid-s14761" xml:space="preserve">min. </s>
            <s xml:id="echoid-s14762" xml:space="preserve">29. </s>
            <s xml:id="echoid-s14763" xml:space="preserve">Similiter quæritur deſcenſio
              <lb/>
            arcus ab initio ♏, uſque ad 20. </s>
            <s xml:id="echoid-s14764" xml:space="preserve">grad. </s>
            <s xml:id="echoid-s14765" xml:space="preserve">♒, Arcus oppoſitus eſt à ♉, vſque ad gra. </s>
            <s xml:id="echoid-s14766" xml:space="preserve">
              <lb/>
            20. </s>
            <s xml:id="echoid-s14767" xml:space="preserve">♌. </s>
            <s xml:id="echoid-s14768" xml:space="preserve">Et quia grad. </s>
            <s xml:id="echoid-s14769" xml:space="preserve">20. </s>
            <s xml:id="echoid-s14770" xml:space="preserve">♌, incipiendo à principio ♉, aſcendunt cum Aequa-
              <lb/>
            toris gradibus 111. </s>
            <s xml:id="echoid-s14771" xml:space="preserve">min. </s>
            <s xml:id="echoid-s14772" xml:space="preserve">15. </s>
            <s xml:id="echoid-s14773" xml:space="preserve">tantam dicemus eſſe deſcenſionẽ arcus inter prin-
              <lb/>
            cipium ♏, & </s>
            <s xml:id="echoid-s14774" xml:space="preserve">grad. </s>
            <s xml:id="echoid-s14775" xml:space="preserve">20. </s>
            <s xml:id="echoid-s14776" xml:space="preserve">♒, comprehenſi. </s>
            <s xml:id="echoid-s14777" xml:space="preserve">Pari ratione inueſtiganda eſt deſcenſio
              <lb/>
            ultimi gradus ♐, hoc eſt arcus inter principium ♈, & </s>
            <s xml:id="echoid-s14778" xml:space="preserve">gradum ultimum ♐, cõ-
              <lb/>
            prehenſi. </s>
            <s xml:id="echoid-s14779" xml:space="preserve">Huic arcui opponitur arcus contentus inter principium ♎, & </s>
            <s xml:id="echoid-s14780" xml:space="preserve">finem
              <lb/>
            ♊. </s>
            <s xml:id="echoid-s14781" xml:space="preserve">Nam prima puncta dictorum arcuum, nec non extrema, per diametrum in
              <lb/>
            ſphæra opponuntur. </s>
            <s xml:id="echoid-s14782" xml:space="preserve">Aſcendit autem arcus a ♎, uſque ad finem ♓, cum grad. </s>
            <s xml:id="echoid-s14783" xml:space="preserve">
              <lb/>
            180. </s>
            <s xml:id="echoid-s14784" xml:space="preserve">Aequatoris. </s>
            <s xml:id="echoid-s14785" xml:space="preserve">& </s>
            <s xml:id="echoid-s14786" xml:space="preserve">arcus ab ♈, uſque ad finem ♊, cum gr. </s>
            <s xml:id="echoid-s14787" xml:space="preserve">66. </s>
            <s xml:id="echoid-s14788" xml:space="preserve">min. </s>
            <s xml:id="echoid-s14789" xml:space="preserve">57. </s>
            <s xml:id="echoid-s14790" xml:space="preserve">Aequa-
              <lb/>
            toris, quibus ſi addantur 180. </s>
            <s xml:id="echoid-s14791" xml:space="preserve">grad. </s>
            <s xml:id="echoid-s14792" xml:space="preserve">habebitur aſcenſio arcus ab initio ♎, uſque
              <lb/>
            ad finem ♊, hoc eſt deſcenſio arcus ab initio ♈, uſque ad finem ♐, grad. </s>
            <s xml:id="echoid-s14793" xml:space="preserve">246. </s>
            <s xml:id="echoid-s14794" xml:space="preserve">
              <lb/>
            min. </s>
            <s xml:id="echoid-s14795" xml:space="preserve">57. </s>
            <s xml:id="echoid-s14796" xml:space="preserve">& </s>
            <s xml:id="echoid-s14797" xml:space="preserve">ſic de cæteris.</s>
            <s xml:id="echoid-s14798" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">Quomod@
            <lb/>
          aliter ex ta-
            <lb/>
          bulisaſcẽſio
            <lb/>
          nũ obliqua
            <lb/>
          rum deſce@
            <lb/>
          ſiones obli-
            <lb/>
          quæ inqui-
            <lb/>
          rantur.</note>
          <p>
            <s xml:id="echoid-s14799" xml:space="preserve">
              <emph style="sc">Solet</emph>
            quoque inueſtigari aliter, quàm diximus, deſcenſio cuiuslibet ar-
              <lb/>
            cus à principio ♈, incipientis, hac ratione. </s>
            <s xml:id="echoid-s14800" xml:space="preserve">Auferatur ab aſcenſione pũcti, quod
              <lb/>
            per diametrum extremo puncto arcus oppoſiti opponitur, integer ſemicircu-
              <lb/>
            lus, hoc eſt, grad. </s>
            <s xml:id="echoid-s14801" xml:space="preserve">180. </s>
            <s xml:id="echoid-s14802" xml:space="preserve">Quod ſi detractio fieri nequit, adijciantur prius grad.
              <lb/>
            </s>
            <s xml:id="echoid-s14803" xml:space="preserve">360. </s>
            <s xml:id="echoid-s14804" xml:space="preserve">nempe circulus integer, ad aſcenſionem puncti oppoſiti. </s>
            <s xml:id="echoid-s14805" xml:space="preserve">Quod enim re-
              <lb/>
            linquitur, erit deſcenſio quæſita. </s>
            <s xml:id="echoid-s14806" xml:space="preserve">EXEMPLVM. </s>
            <s xml:id="echoid-s14807" xml:space="preserve">Quæritur Romæ deſcen-
              <lb/>
            ſio grad. </s>
            <s xml:id="echoid-s14808" xml:space="preserve">8. </s>
            <s xml:id="echoid-s14809" xml:space="preserve">♌; </s>
            <s xml:id="echoid-s14810" xml:space="preserve">Ex aſcenſione grad. </s>
            <s xml:id="echoid-s14811" xml:space="preserve">8. </s>
            <s xml:id="echoid-s14812" xml:space="preserve">♒, hoc eſt, ex grad. </s>
            <s xml:id="echoid-s14813" xml:space="preserve">327. </s>
            <s xml:id="echoid-s14814" xml:space="preserve">min. </s>
            <s xml:id="echoid-s14815" xml:space="preserve">45. </s>
            <s xml:id="echoid-s14816" xml:space="preserve">detraho
              <lb/>
            grad. </s>
            <s xml:id="echoid-s14817" xml:space="preserve">180. </s>
            <s xml:id="echoid-s14818" xml:space="preserve">remanetq; </s>
            <s xml:id="echoid-s14819" xml:space="preserve">deſcenſio arcus ab ♈, uſque ad grad. </s>
            <s xml:id="echoid-s14820" xml:space="preserve">8. </s>
            <s xml:id="echoid-s14821" xml:space="preserve">♌, graduum 147. </s>
            <s xml:id="echoid-s14822" xml:space="preserve">
              <lb/>
            min. </s>
            <s xml:id="echoid-s14823" xml:space="preserve">45. </s>
            <s xml:id="echoid-s14824" xml:space="preserve">Rurſus, Inuenienda eſt deſcenſio grad. </s>
            <s xml:id="echoid-s14825" xml:space="preserve">20. </s>
            <s xml:id="echoid-s14826" xml:space="preserve">♏, Adi
              <unsure/>
            jcio ad aſcenſionẽ
              <lb/>
            grad. </s>
            <s xml:id="echoid-s14827" xml:space="preserve">20. </s>
            <s xml:id="echoid-s14828" xml:space="preserve">♉, nempe ad grad. </s>
            <s xml:id="echoid-s14829" xml:space="preserve">30. </s>
            <s xml:id="echoid-s14830" xml:space="preserve">min. </s>
            <s xml:id="echoid-s14831" xml:space="preserve">46. </s>
            <s xml:id="echoid-s14832" xml:space="preserve">integrum circulum, & </s>
            <s xml:id="echoid-s14833" xml:space="preserve">à numero compo
              <lb/>
            ſito, hoc eſt, grad. </s>
            <s xml:id="echoid-s14834" xml:space="preserve">390. </s>
            <s xml:id="echoid-s14835" xml:space="preserve">min. </s>
            <s xml:id="echoid-s14836" xml:space="preserve">46. </s>
            <s xml:id="echoid-s14837" xml:space="preserve">auſero ſemicirculum, relinquiturque deſcenſio
              <lb/>
            arcus ab ♈, uſque ad grad. </s>
            <s xml:id="echoid-s14838" xml:space="preserve">20. </s>
            <s xml:id="echoid-s14839" xml:space="preserve">♏, graduum 210. </s>
            <s xml:id="echoid-s14840" xml:space="preserve">min. </s>
            <s xml:id="echoid-s14841" xml:space="preserve">46. </s>
            <s xml:id="echoid-s14842" xml:space="preserve">&</s>
            <s xml:id="echoid-s14843" xml:space="preserve">c.</s>
            <s xml:id="echoid-s14844" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div757" type="section" level="1" n="266">
          <head xml:id="echoid-head277" xml:space="preserve">Sequuntur Tabulæ.</head>
        </div>
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