Benedetti, Giovanni Battista de
,
Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]
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417
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EPISTOL AE.
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429
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0429
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vmbra reperitur, tantum quantum defectus caloris radij ſolaris fert, qui per vim,
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dictum aerem rarefactum conſeruabat, ſtatim dictum aerem condenſari cognoſces:
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</
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<
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xml:space
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">& quia ea condenſatio homogenea non eſt, ob diuerſas rationes, hanc ob cauſam
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percipimus eam aeris impulſionem, & inæqualiter, dum verò eadem vmbra diſce-
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dit, ventus, ferè, ſtatim ceſſat, & ſæpe ante quam dicta vmbra diſcedat; </
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<
s
xml:id
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xml:space
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">cuius rei cau
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ſa eſt longa mora quam trahi vmbra, ita vt prius abſoluatur reditus aeris ad
<
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,
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quæ ei conuenit in huiuſmodi vmbra, quam faciet nubes dum Sol deregitur.</
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</
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<
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<
s
xml:id
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xml:space
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">Vera non ſunt ea, quæ tibi Arnoldus dixit, vt mihi tuis literis ſignificaſti. </
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<
s
xml:id
="
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xml:space
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">Nam ego
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ita dixi, videlicet, quod quoti eſcunque aliquis aſpexerit aliquod punctum in ſuper-
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ficie ſpeculi, </
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>
<
s
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xml:space
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">tunc imaginem ipſius poſt dictam ſuperficie
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m videbit duplicatam, ſi
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verò aſpexerit imaginem intra ſpeculum, </
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>
<
s
xml:id
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xml:space
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">tunc illud punctum videbit duplicatum,
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huiuſmodi autem rei ratio pendet ab hijs quę ad Franciſcum Vimercatum ſcri-
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pſi, quæ ſi memoria tenes, nullum tibi dubium remanebit. </
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>
<
s
xml:id
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xml:space
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">Nam ea tibi omnia
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oſtendi.</
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<
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<
s
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xml:space
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">Dum verò dicis omnem proportionem rationalem diuidi poſſe duobus numeris
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mediantibus in tres æquas partes, mihi ad memoriam reuocas id quod quidam Vitru
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uij commentator aſſerit ſuper primum cap. noni lib. eiuſdem Authoris, ita dicens.</
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<
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">Benè eſſe poteſt vt diagonalis (quadrati ſcilicet) numerorum via reperiatur, ſed
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fortaſſe intercedent fracta.</
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<
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xml:space
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">Miror te non memoria tenere quid ſint numeri rationales quidúe ſurdi,
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con
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ſideras, non ſolum non eſſe diuiſibilem in tres æquas partes omnem proportionem
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rationabilem, ſed neque in duas, vt ſunt ſuperparticulares proportiones, necnon
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aliæ innumeræ, ſed cum talia ſcribis te nimis parum verſatum in iſtis rebus oſtendis.</
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<
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<
s
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xml:space
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">Id verò quod tibi dicere volebam nudiustertius de Mercurio erat, quod nullo pa
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cto confidendum eſt calculis qui fiunt de curſu Mercurij, eo quod eius ſitus nullo mo
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do obſeruabilis eſt, nam ipſe nunquam nec vbiuis locorum orbis terrarum viſibilis
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eſt altior .18. gradibus ſupra orizontem, ſed neque confidendum eſſet ſi
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ipſum
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videremus altum .20. gradibus, </
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<
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xml:space
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">propterea quod magna refractio
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infra hos
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gradus nos valde fallit, quæ quidem refractio, nec
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type
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, nec omni tempore vnifor-
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mis eſt, propter diformem ſeu inæqualem craſſiciem vaporum quæ continuò muta
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tur. </
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<
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xml:space
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">Imo multoties eum. videre putabimus ſupra orizontem, exiſtente ipſo ſub
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orizonte.</
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<
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xml:space
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">Quod Ouidius tr anſcurrit à motu diurno, ad motum annuum
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prater rem.</
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<
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<
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xml:space
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">TVus etiam Ouidius ceſpitauit, cum pro itinere vnius diei efficiat, vt Phaeton à
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patre edoctus ſit etiam de itinere annuali.</
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<
s
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xml:space
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">Nam, quod Phaeton petat pro curſu vnius diei, clarè patet
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diuerſis locis, & pri-
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mò vbi ita ſcribit Ouidius.</
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<
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<
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diem alipedum ius & moderamen equorum.</
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</
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<
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<
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">Deinde vbi Pater ita loquitur.</
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<
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<
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">Ardua prima via eſt, & qua vix
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recentes. </
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