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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IO. BAPT. BENED.
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192
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file
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0192
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0192
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dicto corpori
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. </
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<
s
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xml:space
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">Nunquam remanſuram ſuam totalem grauitatem
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in quolibet
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ex-dictis medijs. </
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<
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xml:space
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ris
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var
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per vacuum ad velocitatem dicti corporis per plenum, ego ei proponam pro-
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portionem ipſius
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ad
<
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>
exempli gratia, dicens,
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maius eſt
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ip ſo
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ſic etiam corpus
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var
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velocius erit in vacuo, quàm in pleno, dicti autem ple-
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ni denſitatem appellabimus
<
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>.e.b</
var
>
. </
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<
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xml:space
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">Ariſtoteles dicet nunc,
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aliud quoddam medium
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in eadem proportione ſubtilius ipſo
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deſumatur; </
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<
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minus eſt
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ipſo
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ſit ergo iſtud
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in quo Ariſtoteles credit corpus Q. futurum tam velox ut
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in vacuo, in quo aberrat,
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proportio velocitatis corporis
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in medio
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ad velo
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citatem eiuſdem in medio
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<
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ita ſe hàbebit, ut
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ad
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xlink:href
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number
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257
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0192-01
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xlink:href
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</
figure
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<
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>e.a.</
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ex ultimo ſuppoſito ca
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pit .2. huius libr. quæ minor
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eſſet ea, quæ eſt
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ad
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ex .8. lib. quinti Eucli.</
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<
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<
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head
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<
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xml:space
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">Primum,
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cap .4. lib. 4. phyſicorum ait, omne corpus eſſe in ſuo proprio loco, ſupponen
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do vnum centrum pro loco grauium, et unam circunferentiam pro loco leuium cor
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porum. </
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<
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xml:space
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">Sed quomodo punctum poteſt eſſe locus ipſius corporis, cum omni dimen
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ſione
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ſit denudatum? </
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xml:space
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locus eſſet corporum grauium, om
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nia dicta corpora grauia, extra proprium locum exiſterent, quia nullum ex iis eſt,
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ſit in centro. </
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<
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xml:space
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">Adde quod neque hoc cum loci definitione ab ipſo poſita conſentiret
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cum ipſe dicat in eodem cap. locum eſſe ſuperſiciem quandam, & non interuallum,
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licet huiuſmodi definitio falſa appareat primo ex
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falſo, quod ipſe hinc
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ſequuturum dicit, ideſt, quod ſi locus interuallum eſſet, infinita loca exiſterent, quod
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reuera nec ob hanc cauſam inconueniens exiſtit, quia eodem planè modo quo ali-
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quod corpus poteſt eſſe infinita corpora, (quod ipſe diceret in potentia) ſic etiam in
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teruallum aliquod poſſet eſſe infinita interualla. </
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<
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xml:space
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">Cum autem dicat ſuperficies cor-
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poris ambientis eſſe locum eius corporis, quod continetur, cogitur dicere lineam,
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quæ circundat ſuperficiem, ſuperficiei locum eſſe, & puncta ipſius lineæ, quod reue
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ra abſurdum eſt. </
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<
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xml:space
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">Locus corporis eſt interuallum illud eadem magnitudine & figu-
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ra, qua corpus ipſum pręditum eſt, quod ſi non eſſet, ſed eſſet ſuperficies, quemad-
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modum Ariſtoteles voluit, maximum inconueniens ſequeretur, ſcilicet æquales lo-
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cos capere inęqualia corpora, aut corpora æqualia, locos inęquales occupare, quod
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ſcitu facillimum eſt, cum Theon ſuper Ptolomęi Almageſtum iam probarit ſphæ-
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ricam ſuperficiem maius interuallum corporeum continere, quàm aliam
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ſu-
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perficiem dictæ ſphęricæ æqualem, vnde poſſent facilè reperiri duo loci, quorum al-
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ter millies altero maior eſſet, capaces tamen corporum æqualium, aut reperiri duo
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corpora, quorum alterum millies maius eſſet altero, quę tamen corpora apta eſſent
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ad occupandos locos ęquales, quamuis Ariſtoteles dicat, locum, neque maiorem ne
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que minorem eſſe debere locato. </
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<
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xml:space
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">Sed interualla corporea ęqualia à quauis figura
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terminata, continebunt ſemper corpora ęqualia. </
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<
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xml:space
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