Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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trema linearum, ſint æquè decliuia, neceſſe eſt aquæ ſuperficiem apud ipſa
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conſiſtere, tunc enim debet quieſcere, aliter nunquam quieſceret; ſed vide
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mus aquam manentem, & quietam, ergo quieſcit circa puncta B, E, C, à
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centro terræ æquidiſtantia, per quæ tranſit linea circularis coniungens illa;
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etſi ſuperficies per eiuſmodi loca pertranſiret, eſſet ſphærica: ſed ſuperfi
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cies aquæ tranſit per talia loca, ergo ſphærica eſt. </
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tiſſimam Archimedis demonſtrationem initio libelli de ijs, quæ vehuntur
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in aqua, quam in ſuam ſphæram retulit Clauius.</
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108</
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">Tex. 46.
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(Reliquum eſt orbes quidem moueri, stellas verò quieſcere, & infixas
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ipſis orbibus ferri; ſolum enim ſic nullum abſurdum accidit. </
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">celeriorem enim eſſe
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maioris circuli velocitatem, rationabile eſt circa idem centrum infixis: vt enim in
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alijs maius corpus velocius fertur propria latione, ſic, & in circularibus: maius
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enim eſt eorum, quæ auferuntur ab eis, quæ ex centro, maioris circuli ſegmentum)
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ex intellectione vltimæ periodi textus totius intelligentia pendet: ſit igitur
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figura præſens, in qua cum ſint duo circuli concen
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trici, vnus altero maior,
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eductæq́
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; ſint ex
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duæ
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ſemidiametri A D, A E, quæ
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circulum ſe
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cant, apparet maius eſſe
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ſegmentũ
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D E, quod è ma
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iori circulo ſemidiametri ex
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eductæ auferunt,
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quam ſegmentum B C, minoris circuli, quod eiſdem
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ſemidiametris intercipitur. </
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<
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ambo ſimul moueantur, maior circulus æquali tem
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pore maius illud ſpatium D E, & minor minus B C,
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pertranſibit: idem igitur de cœleſtibus orbibus di
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cendum, qui quamuis omnes diurnum ſimul motum
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abſoluunt, maiores tamen celerius conuertuntur: quo fit, vt ſtellæ maiori
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bus circulis infixæ,
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atq;
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delatæ, maiori celeritate ſuos curſus peragant, ne
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que oportet eas, dum mouentur cœlum diſſecare, quod accideret, ſi pro
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prio motu veluti piſces per aquam progrederentur.</
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rum; at verò illis noſtræ ætatis obſeruationes repugnant; præſertim illæ,
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quæ fiunt circa ſtellas errantes: ex quibus fatendum eſſe videtur, Cœlum,
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qua parte Planetas continet, liquidum eſſe, ac per illud Planetas proprio
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motu, ceu piſces in aqua progredi. </
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<
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Brahe,
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alijq́
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; plures exactè
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demonſtrant Cometas in regione Planetarum eſſe,
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eosq́
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; motu quodam in
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tranſuerſum moueri, quo neceſſario Cęlú deberent perforare; ijdem oſten
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dunt nonnullos Planetas, Martem præſertim, ac Venerem modo ſupra So
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lem, modo infra aſcendere, & deſcendere. </
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<
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ua per nouum Teleſcopij i
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in Venere facta, quæ lunulata
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à Sole apparet: quando nimirum eſt in imo epicyclo. </
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; rotunda ve
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luti Luna plena, cum in ſummo epicyclo verſatur: quæ minimè apparerent,
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niſi ſupra, ac infra Solem circumiret. </
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<
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re Cœlum eſſe liquidum;
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in eo Planetas, veluti aues in aere, permeare:
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quarum ſolutio mihi nulla occurrit, alijs fortaſſis occurret.</
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109</
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(De ordine autem ipſorum, quo quidem modo ſingula diſponantur, vt
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quædam ſint priora, quædam posteriora, & quomodo ſpatijs ſe ă
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ad inuicem,
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