Cardano, Girolamo
,
De subtilitate
,
1663
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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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& 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. </
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<
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id
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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. </
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<
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ſecundorum 23. M H, igitur erit partium
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267. minut. </
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<
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id
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<
s
id
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">53. Reſiduum igi
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igitur G H, erit partium 1199. minut. </
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<
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ſecund. </
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<
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id
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nut. </
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<
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id
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<
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id
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">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. </
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<
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<
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id
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<
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id
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">31.
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tertiorum 30. Tertium latus quod eſt C G,
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partium 5. minut. </
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<
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id
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">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. </
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<
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id
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">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. </
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<
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id
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">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. </
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<
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">Quod eſt igi
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tur latus eius? </
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<
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id
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">eſt F O, partium ſcilicet
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1199. minut. </
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<
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id
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">59. ſecund. </
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<
s
id
="
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">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. </
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<
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">o. </
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<
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">ſec. 23. qua
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re F N, tota eſt part. </
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">1200. minut. </
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<
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cund. </
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<
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id
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">22. Hæc detrahemus ex omnibus
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propter differentiam inſenſibilem, relin
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quetur F E, partium 1199. minut. </
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id
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">59. ſe
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cundorum 37. & C G, partium 5. mi
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nut. </
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<
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id
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">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. </
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<
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id
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">59. ſecundo
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rum 58. Arcus igitur F C, eſt partium
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179. minut. </
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<
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id
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">36. ſecundorum o. </
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<
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">C N, igi
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tur part. </
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<
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">o. </
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<
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">minut. </
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<
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id
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">24. ſecundorum o. </
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<
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id
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">Qua
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re C G, part. </
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<
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">48. ſecundorum
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o. </
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<
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id
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">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. </
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<
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id
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">Totus igitur ar
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cus L D E H, eſt, partium 180. minut.
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</
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">& ideò dies in æquino
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ctio horarum 12. minut. </
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<
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12. & nox horarum 11. minut. </
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<
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dorum 48. Et ita ſub æquinoctio ſemper.
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</
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<
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id
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">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. </
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<
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id
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">Reſpondet hoc perpulchrè
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experimentis. </
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<
s
id
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">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. </
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<
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id
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gior etiam eſt duplo dies, quàm nox, 12.
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Iunij. </
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<
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id
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">Primus dies æquinoctij ætate noſtra
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eſt 10. Martij, hæc erit minut. </
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<
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id
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">6. maior
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nocte. </
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<
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">Accedit præter hæc colliſio luminis,
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de qua poſteriùs dicemus. </
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<
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">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. </
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<
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id
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">Ob id
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que hyemem eſſe longè frigidiorem, quòd
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Sol terræ propinquior ſit. </
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<
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id
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">Sed cur ſola Lu
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na varias ſuſcipit figuras, reliqua aſtra om
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nia perpetuò rotunda ſunt? </
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<
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id
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">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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</
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<
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id
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">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. </
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<
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id
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">Alii imaginem eſſe putant, vel
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Oceani, vel orbis terræ, quaſi è ſpeculo re
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lucentis. </
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<
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id
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">Nos verò illam, ſi corpus æter
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num ſit, participem eſſe mortalitatis nega
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mus. </
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>
<
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id
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">Nec tam procul imago ſeu ſpecies ali
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qua in ſpeculo videri poteſt. </
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>
<
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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. </
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>
<
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id
="
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">Quòd
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ſi terminus ſit viſus, cur non in alia par
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te? </
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>
<
s
id
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">Videtur igitur nihil mirum, hanc du
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bitationem alios quidem fatigaſſe, alios </
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