Cardano, Girolamo, De subtilitate, 1663

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              <s id="s.002683">
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              ſupponitur cognita in comparatione ad
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              F H, & C G, & H, rectus, erunt G H,
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                <figure id="id.016.01.064.1.jpg" xlink:href="016/01/064/1.jpg" number="39"/>
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              & G F, cognitæ, & angulus G C F, co­
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              gnitus, ideóque G C B, atque ideò arcus
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              E H, conſimilis G B: ideóque exceſſus diei
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              tempore æquinoctij ſupra duodecim horas:
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              duplicato enim E N, propter D L, fit ar­
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              cus L D E H, cognitus. </s>
              <s id="s.002684">Iuxta hoc igitur
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              poſita G C, quinque cum dimidio, & F H,
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              vnum erunt F C, 1200. & C M, 1468.
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              quare C M, erit partium 1467. minut. </s>
              <s id="s.002685">59.
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              ſecundorum 23. M H, igitur erit partium
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              267. minut. </s>
              <s id="s.002686">59. ſecund. </s>
              <s id="s.002687">53. Reſiduum igi­
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              igitur G H, erit partium 1199. minut. </s>
              <s id="s.002688">59.
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              ſecund. </s>
              <s id="s.002689">30. igitur G F, partum 1199. mi­
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              nut. </s>
              <s id="s.002690">59. ſecund. </s>
              <s id="s.002691">31. tertiorum 30. Ideò tri­
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              gonus C F G, habet vnum latus quod eſt
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              C F, partium 1200. Secundum latus quod
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              eſt F G, part. </s>
              <s id="s.002692">1199. minut. </s>
              <s id="s.002693">59. ſecund. </s>
              <s id="s.002694">31.
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              tertiorum 30. Tertium latus quod eſt C G,
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              partium 5. minut. </s>
              <s id="s.002695">30. Manifeſtum eſt igi­
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              tur quòd F C, & F G, ſunt fermè æqua­
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              les, & quòd proportio vtriſque ad C G,
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              eſt, vt 218. & duarum vndecimarum ad
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              vnum. </s>
              <s id="s.002696">Statuatur igitur circulus circa tri­
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              gonum C G F, & manifeſtum eſt quòd
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              diameter F N, cadet in medio, & ſecabit
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              C G, per æqualia in O, propter æquali­
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              tatem F C, & F G. </s>
              <s id="s.002697">Igitur detracto qua­
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              drato C O, quòd eſt 7 9/16. ex quadrato FG,
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              relinquetur quadratum F O. </s>
              <s id="s.002698">Quod eſt igi­
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              tur latus eius? </s>
              <s id="s.002699">eſt F O, partium ſcilicet
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              1199. minut. </s>
              <s id="s.002700">59. ſecund. </s>
              <s id="s.002701">49. Cum hoc di­
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              uiſo quadrato C O, quod eſt ( vt dixi )
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              7 9/16. prodibit O N, minut. </s>
              <s id="s.002702">o. </s>
              <s id="s.002703">ſec. 23. qua­
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              re F N, tota eſt part. </s>
              <s id="s.002704">1200. minut. </s>
              <s id="s.002705">o. </s>
              <s id="s.002706">ſe­
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              cund. </s>
              <s id="s.002707">22. Hæc detrahemus ex omnibus
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              propter differentiam inſenſibilem, relin­
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              quetur F E, partium 1199. minut. </s>
              <s id="s.002708">59. ſe­
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              cundorum 37. & C G, partium 5. mi­
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              nut. </s>
              <s id="s.002709">30. Deducta igitur F N, ad partes
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              120. & eſt diniſo numero per decem, fiet
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              F C, partium 119. minut. </s>
              <s id="s.002710">59. ſecundo­
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              rum 58. Arcus igitur F C, eſt partium
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              179. minut. </s>
              <s id="s.002711">36. ſecundorum o. </s>
              <s id="s.002712">C N, igi­
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              tur part. </s>
              <s id="s.002713">o. </s>
              <s id="s.002714">minut. </s>
              <s id="s.002715">24. ſecundorum o. </s>
              <s id="s.002716">Qua­
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              re C G, part. </s>
              <s id="s.002717">o. </s>
              <s id="s.002718">minut. </s>
              <s id="s.002719">48. ſecundorum
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              o. </s>
              <s id="s.002720">Igitur duo arcus D L, & E H, huic
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              æquales, ſeu ſimiles: quia illi ſunt dupli
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              arcui B G, cui etiam eſt duplum C G, hîc,
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              quia in circumferentia. </s>
              <s id="s.002721">Totus igitur ar­
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              cus L D E H, eſt, partium 180. minut.
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              </s>
              <s id="s.002722">48. ſecundorum o. </s>
              <s id="s.002723">& ideò dies in æquino­
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              ctio horarum 12. minut. </s>
              <s id="s.002724">3. ſecundorum
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              12. & nox horarum 11. minut. </s>
              <s id="s.002725">56. ſecun­
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              dorum 48. Et ita ſub æquinoctio ſemper.
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              </s>
              <s id="s.002726">Et æquinoctium nobis erit pridie quàm Sol
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              initium Arietis ingrediatur, imò perendie
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              & poſt tertiam diem in qua Sol ingreditur
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              initium Libræ, id eſt, die 8. Martij, &
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              15. Septembris. </s>
              <s id="s.002727">Reſpondet hoc perpulchrè
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              experimentis. </s>
              <s id="s.002728">Quòd ſi paulò elatior ſit re­
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              gio, vt in altiſſimis montibus, adeò ante­
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              cedit Solis ingreſſum in Arietis initium,
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              vt ratio Aſtronomica falſa videatur. </s>
              <s id="s.002729">Lon­
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              gior etiam eſt duplo dies, quàm nox, 12.
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              Iunij. </s>
              <s id="s.002730">Primus dies æquinoctij ætate noſtra
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              eſt 10. Martij, hæc erit minut. </s>
              <s id="s.002731">6. maior
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              nocte. </s>
              <s id="s.002732">Accedit præter hæc colliſio luminis,
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              de qua poſteriùs dicemus. </s>
              <s id="s.002733">Illud non præte­
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              ribo, quod etiam admiratione dignum eſt:
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              Solem quantò altiùs aſcendit, eóque plus
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              à nobis abeſt, eò magis nos calefacere,
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              quòd anguli rectis ſint propiores. </s>
              <s id="s.002734">Ob id­
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              que hyemem eſſe longè frigidiorem, quòd
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              Sol terræ propinquior ſit. </s>
              <s id="s.002735">Sed cur ſola Lu­
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              na varias ſuſcipit figuras, reliqua aſtra om­
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              nia perpetuò rotunda ſunt? </s>
              <s id="s.002736">An eò figuram
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              mutat, quòd opaca eſt, & lumen quod ha­
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              bet proprium, lumine Solis adeò eſt imbe­
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              cillius, vt qua parte à Sole non illumina­
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              tur, lateat, & pars illa deeſſe videatur?
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              </s>
              <s id="s.002737">Eſt etiam Lunæ peculiare maculam habe­
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              re: vnde maxima apud antiquos quæſtio
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              orta eſt, exiſtimantibus non paucis Lunam
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              participem eſſe elementaris naturæ, & ob
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              id affici. </s>
              <s id="s.002738">Alii imaginem eſſe putant, vel
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              Oceani, vel orbis terræ, quaſi è ſpeculo re­
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              lucentis. </s>
              <s id="s.002739">Nos verò illam, ſi corpus æter­
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              num ſit, participem eſſe mortalitatis nega­
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              mus. </s>
              <s id="s.002740">Nec tam procul imago ſeu ſpecies ali­
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              qua in ſpeculo videri poteſt. </s>
              <s id="s.002741">Aut igitur ea
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              parte peruia maculam oſtendit, ſicut in ſpe­
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              culis vbi plumbum abraſum fuerit, aut om­
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              ninò illa eft terminus aſpectus: eadem enim
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              in parte cum videatur, peruia eſſe non po­
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              teſt ibi Luna, niſi aliquo motu circumfe­
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              ratur, ita vt redeat aduerſo parui circuli,
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              & eccentrici motu ad eandem faciem. </s>
              <s id="s.002742">Quòd
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              ſi terminus ſit viſus, cur non in alia par­
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              te? </s>
              <s id="s.002743">Videtur igitur nihil mirum, hanc du­
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              bitationem alios quidem fatigaſſe, alios </s>
            </p>
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