Fabri, Honoré, Tractatus physicus de motu locali, 1646

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1
8. In maiori quadrante, circa ſupremam extremitatem, eſt minor
inclinatio, quàm in minore;
hic enim ſtatim detorquetur à perpen­
diculo, cum quo facit angulum maiorem:
at verò circa infirmam
extremitatem, eſt maior inclinatio in maiore, quàm in minore:
hinc,
ſi comparetur vibratio maioris, cum vibratione minoris in modico
arcu, tempus illius eſt paulò maius duplo, temporis huius; in maxi­
mo arcu paulò minùs duplo, dum, ſcilicet, longitudinum ratio
ſit quadrupla.
9. In deſcenſu funependuli velocitas acquiſita eſt eadem cum ea,
quæ in ſubtenſa eiuſdem arcus acquiritur:
hinc ſunt ijdem ictus:
numerus, vibrationum non eſt infinitus, licèt in vacuo vibraretur
funependulum;
quia, cùm ſingulæ imminuantur, & infinitis pun­
ctis non conſtent;
tandem ad vltimam peruenitur: illa autem eſt vl­
tima, in cuius deſcenſu acquiritur tantùm vnum punctum impetus
ſupra innatum; in ea tamen ſententia, quæ vel infinitas partes actu,
vel infinita puncta cognoſcit, certè nunquam quieſceret funepen­
dulum in vacuo vibratum.
10. Funependulum in fine aſcenſus non quieſcit vno inſtanti;
quia impetui innato nunquam redditur æqualis acquiſitus;
poſita ta­
men illa æqualitate, inſtanti ſequenti eſſet quies:
funependulum
grauius citiùs deſcendit;
eſt enim eadem ratio, quæ fuit pro mo­
tu naturali;
corpus oblongum ſolidum circa punctum immobile
in circulo verticali rotatum vibratur adinſtat funependuli; deſ­
cendit tamen citiùs, quàm funependulum eiuſdem longitudinis.
11. Ratio facilis eſt; quia partes ſolidæ, quæ accedunt propiùs
ad extremitatem immobilem, accelerant motum aliarum, quæ
ad mobilem extremitatem accedunt;
faciunt enim arcum mino­
rem:
hinc aſcenſus non peruenit ad tantam ſublimitatem; quia, vt
prædictæ partes accelerant motum aliarum in deſcenſu, ita retar­
dant in deſcenſu:
hinc citiùs quieſcit hoc penduli genus, quàm
aliud:
ex hoc colligo paradoxon, ſcilicet, corpus moueri poſſe ſua
ſponte velociùs in arcu deorſum, quàm in perpendiculo; v.g. ſi iuxta
extremitatem immobilem ſit nodus plumbeus, cuius vi, altera ex­
tremitas longiùs diſtans deorſum rapiatur.
13[Figure 13]
De motu mixto ex circulari.
1. ROta, quæ mouetur in ſuperficie plana, mouetur motu mixto
ex recto centri, & circulari orbis:
axis tantùm rotæ mouetur
motu recto:
punctum contactus rotæ mouetur motu tardiſſimo,

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