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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EPISTOL AE.
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xml:space
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">DE MOTV MOLAE, ET TROCHI, DE AMPVL-
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lis aquæ, de claritate aeris, & Lunæ noctu fulgentis, de æter-
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nitate temporis, & infinito ſpacio extra
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Cœlum, Cœ
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figura.</
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<
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style
="
it
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xml:space
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">Illust. Ioanni Paulo Capra Nouarienſi Sabaudia Ducis boſpicij
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Magistro, viro ingeny praſtantia, & morum cando-
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re, non minus quam familia nobili-
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tate conſpicuo.</
head
>
<
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<
s
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xml:space
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">SI vera eſſet animorum illa tranſmigratio quam ſibi Italicæ ſapientiæ Pa-
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ter Pythagoras effinxerat, tuam,
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exiſtimarem animam canis,
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quandoque venatici fuiſſe.</
s
>
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<
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<
s
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">Quæris à me literis tuis, an motus circularis alicuius molæ molendina
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rie, ſi ſuper aliquod punctum, quaſi
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, quieſceret, poſſet eſſe perpetuus,
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cum aliquando eſſet mota, ſupponendo etiam eandem eſſe perfectè rotundam, &
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lęuigatam. </
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>
<
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xml:space
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">Reſpondeo huiuſmodi motum nullo modo futurum perpetuum, nec
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etiam multum duraturum, quia præterquam quod ab aere qui ei circumcirca
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reſiſtentiam facit ſtringitur, eſt etiam reſiſtentia partium illius corporis moti, quæ
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cum motæ ſunt, natura, impetum habent efficiendi iter directum, vnde cum ſimul
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iunctæ ſint, & earum vna continuata cum alia. </
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>
<
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xml:space
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">dum circulariter mouentur patiuntur
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violentiam, & in huiuſmodi motu per vim vnitæ manent, quia quanto magis mo-
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uentur, tanto magis in ijs creſcit naturalis inclinatio recta eundi, vnde tanto magis
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contra ſuammet naturam voluuntur, ita vt ſecundum naturam quieſcant, quia cum
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eis proprium ſit, quando ſunt motæ, eundi recta, quanto violentius voluuntur, tan-
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to magis vna reſiſtit alteri, & quaſi retrò reuocat eam, quam antea reperitur habere.</
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<
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">Ab eiuſmodi inclinatione rectitudinis motus partium alicuius corporis rotundi
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fit, vt per aliquod temporis ſpacium, trochus cum magna violentia ſeipſum circun-
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agens, omninò rectus quieſcat ſuper illam cuſpidem ferri quam habet, non incli-
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nans ſe verſus mundi centrum, magis ad vnam
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, quam ad aliam, cum quælibet
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ſuarum partium in huiuſmodi motu non inclinet omnino verſus
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centrum, ſed
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multo magis per tranſuerſum ad angulos rectos cum linea directionis, aut verticali,
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aut orizontis axe, ita vt neceſſariò huiuſmodi corpus rectum ſtare debeat. </
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<
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xml:space
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">Et quod
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dico ipſas partes non omninò inclinare verſus mundi centrum, id ea ratione dico,
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quia non abſolutè ſunt unquam priuatæ huiuſmodi inclinatione, quę efficit vt ipſum
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corpus eo puncto nitatur. </
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<
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">Verum tamen eſt, quod quanto magis eſt velox, tan-
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to minus premit ipſum punctum, imò ipſum corpus
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magis leue remanet. </
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">Id
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apertè patet
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<
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pilę alicuius arcus, aut
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alterius
<
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, ſeu ma
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chinæ miſſilis, quæ pila quanto eſt velocior, in motu violento, tanto maiorem pro-
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penſionem habet rectius eundi, vnde verſus mundi centrum tanto minus inclinat,
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& hanc ob cauſam leuior redditur. </
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<
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xml:space
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">Sed ſi clarius, hanc veritatem videre cupis,
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cogita illud corpus, Trochum ſcilicet, dum velociſſime circunducitur ſecari, ſeu
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diuidi in multas partes, vnde uidebis illas omnes, non illico uerſus mundi centrum </
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