Fabri, Honoré, Tractatus physicus de motu locali, 1646

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1faciliori, circa centrum, quod diſtet ab altera extremitate vna
quarta totius cylindri: ratio eſt: quia faciliùs mouetur circa illud
centrum, quàm circa alia puncta, quòd, ſcilicet, minùs ſpatij decur­
ratur, poſito eodem ſemper motu alterius extremitatis, cui appli­
catur immediatè potentia motrix.
11. Cùm rota mouetur in verticali, atque præponderat alter ſemi­
circulus, haud dubiè hic præponderans producit impetum in alio
ſemicirculo:
hinc fortè eſt, quòd mirere, impetus determinatus
deorſum producit alium ſurſum:
hinc impetus vnius partis mobi­
lis poteſt producere ſimilem in alia parte continua;
quod tantùm in
hoc caſu locum habet:
quando corpus incumbit plano, quod mo­
uetur motu recto æquabili, ab eo non ſeparatur; ſecùs verò, ſi in­
cumbat plano, quod mouetur motu circulari.
12[Figure 12]
De motu funependuli.
1. FVnependulum deſcendit per arcum motu naturaliter acce­
lerato:
experientia clariſſima eſt: cùm enim ex maiori ſubli­
mitate deſcendit, maiorem ictum infligit.
Ratio à priori eſt quia
priori impetui acquiſito nouus accedit:
non acceleratur in eadem
proportione, in qua ſuprà dictum eſt accelerari in linea recta;
quia
in hac acceleratur vniformiter, id eſt, æqualibus temporibus,
æqualia acquiruntur velocitatis momenta;
quia vel eſt ſemper ea­
dem inclinatio plani, vel idem perpendiculum:
at verò in fune­
pendulo in ſingulis punctis eſt noua tangens;
igitur noua inclina­
tio plani; igitur noua ratio motus.
2. Initio acceleratur motus per maiora crementa, ſub finem per mi­
nora;
v.g. ſi dato tempore acquiſiuit vnum gradum impetus initio,
æquali deinde tempore acquiret minùs: ratio clara eſt:
quia, vt ac­
quireret æqualem, deberet eſſe eadem plani inclinatio;
ſed ſemper
creſcit Inclinatio;
igitur ſemper imminuitur impetus æquali tempore
acquiſitus:
acquiritur tamen æqualis velocitas in arcu, & in chor­
da, ſeu plano inclinato, eiuſdem altitudinis; igitur ſemper creſcit
motus funependuli in deſcenſu, ſed minoribus incrementis.
3. Hinc breuiore tempore deſcendit per radium perpendicula­
rem, quàm per quadrantis arcum eiuſdem radij;
tùm quia breuior
eſt linea; tùm, quia in perpendiculari acceleratur motus per maiora
crementa.
Vibratio maior eiuſdem funependuli æquali ferè tem-

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