Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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EX PRIMO METEORORVM.
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131</
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<
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">Svmma 1. cap. 3.
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(Moles autem terræ quanta ſit ad ambientes magnitudi
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nes, non immanifestum, iam enim viſum est per aſtrologica theoremata,
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quod multò etiam quibuſdam aſtris est minor)
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Quantitas terræ non ſo
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lum abſolutè conſiderata, ab Aſtronomis explorata habetur, vt vi
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dere eſt in ſphæra Clauij; ſed etiam reſpectiuè conſiderata, ideſt reſpectu
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aliorum elementorum, & ipſorum etiam aſtrorum; cuius demonſtrationes
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ſunt partim in libello Ariſtarchi Samij, de magnitudine, & diſtantia Solis,
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& Lunæ, partim apud Ptolæmeum in magna Syntaxi, ſiue Almageſto: par
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tim apud Albategnium de ſcientia ſtellarum: partim demum apud Ticho
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nem Brahe. </
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<
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">Porrò facile eſt demonſtrare Solem eſſe terra multò maiorem,
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terram verò maiorem Luna,
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idq́
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; ex eclypſi lunari, cuius imaginem habes
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in figura ſequenti; vbi vmbra terræ eſt D B E, in quam Luna nigricans im
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mergitur, ac lumine deficit, reliqua cognitu ſunt facilia: quia igitur Aſtro
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nomi obſeruarunt vmbram terræ paulò ſupra Lunam pertingere, cum ſupe
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riora aſtra non adeat, hinc collegerunt eam neceſſariò eſſe acuminatam, ſeu
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conicam, vt figura refert. </
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<
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">Cum ergo terra vmbram proijciat turbinatam,
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neceſſariò corpus Solis, quod ipſam illuminat, eadem maior erit: quoti
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diana enim experientia docemur, corpore illuminante exiſtente maiore
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quà ſit illuminatum, vmbram proijci faſtigiatam: cum deinde Solem val
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de a terra diſtare certum ſit, optimè infertur, eum reſpectu terræ eſſe maxi
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mum: quanto enim duæ lineæ, ſiue radij B A, B C. à terra ad partes Solis
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magis elongantur, tan
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to maius corpus
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illu-minãs
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minans</
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intercipiunt. </
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<
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ctenus de magnitudine
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terræ ad Solem. </
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verò Luna eclypſatio
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nis tempore, aliquan
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do non ſolum tota in
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vmbræ vertice lateat,
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verùm etiam
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aliquãdo
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moram trahat, euidens
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eſt, eam eſſe multò mi
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norem illa vmbræ par
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te, in quam immergi
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tur; quæ pars cum ſit
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conicæ vmbræ media,
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erit multò gracilior
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quàm ſit ipſa terra.
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<
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">Ex quo manifeſtè apparet, Lunam, quæ illa vmbra minor eſt, eſſe à fortio
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ri multò minorem ipſa terreſtri mole. </
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<
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ad Lunam. </
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<
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">harum rerum demonſtrationes exactiores pertractare non eſt
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huius loci.</
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<
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(Conſiderantes vtique, quæ nunc oſtenduntur per Mathematica
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