DelMonte, Guidubaldo
,
Mechanicorvm Liber
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text
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body
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<
chap
id
="
N1043F
">
<
pb
xlink:href
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036/01/030.jpg
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id
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id.2.1.13.3.0.0.0
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type
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main
">
<
s
id
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id.2.1.13.3.1.1.0
">Rationes tamen af
<
lb
/>
ferunt, quibus demon
<
lb
/>
ſtrare nituntur, libram
<
lb
/>
DE in AB horizon
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lb
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ti æquidiſtantem ex
<
lb
/>
neceſsitate redire. </
s
>
<
s
id
="
id.2.1.13.3.1.2.0
">
<
expan
abbr
="
Primùm
">Pri
<
lb
/>
mum</
expan
>
quidem oſten
<
lb
/>
dunt, idem pondus
<
lb
/>
grauius eſſe in A,
<
lb
/>
quàm in alio ſitu, quem
<
lb
/>
æqualitatis ſitum no
<
lb
/>
minant, cum linea
<
lb
/>
AB ſit horizonti æ
<
lb
/>
<
figure
id
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id.036.01.030.1.jpg
"
place
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text
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xlink:href
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036/01/030/1.jpg
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number
="
17
"/>
<
lb
/>
quidiſtans. </
s
>
<
s
id
="
id.2.1.13.3.1.3.0
">deinde quò propius eſt ipſi A, quouis alio remotiori
<
lb
/>
grauius eſſe. </
s
>
<
s
id
="
id.2.1.13.3.1.4.0
">Vt pondus in A grauius eſſe, quàm in D; & in D,
<
lb
/>
quàm in L. ſimiliter in A grauius, quam in N; & in N grauius,
<
lb
/>
quàm in M. </
s
>
<
s
id
="
id.2.1.13.3.1.4.0.a
">Vnum tantùm conſiderando pondus in altero libræ
<
lb
/>
<
arrow.to.target
n
="
note22
"/>
brachio ſurſum deorſumq; moto. </
s
>
<
s
id
="
id.2.1.13.3.1.5.0
">Quia (inquiunt) poſita trutina
<
lb
/>
in CF, pondus in A longius eſt à trutina, quàm in D: & in D
<
lb
/>
longius, quàm in L. </
s
>
<
s
id
="
N10B77
">ductis enim DO LP ipſi CF perpendicula
<
lb
/>
<
arrow.to.target
n
="
note23
"/>
ribus, linea AC maior eſt, quàm DO, & DO ipſa LP. </
s
>
<
s
id
="
N10B7E
">quod
<
lb
/>
<
arrow.to.target
n
="
note24
"/>
idem euenit in punctis NM. </
s
>
<
s
id
="
id.2.1.13.3.1.5.0.a
">deinde ex quo loco (aiunt) pon
<
lb
/>
dus velocius mouetur, ibi grauius eſt; velocius autem ex A, quàm
<
lb
/>
ab alio ſitu mouetur; ergo in A grauius eſt. </
s
>
<
s
id
="
id.2.1.13.3.1.6.0
">ſimili modo, quò
<
lb
/>
propius eſt ipſi A, velocius quoque mouetur; ergo in D gra
<
lb
/>
<
arrow.to.target
n
="
note25
"/>
uius erit, quàm in L. </
s
>
<
s
id
="
id.2.1.13.3.1.6.0.a
">Altera deinde cauſa, quam ex rectiori, & obli
<
lb
/>
<
arrow.to.target
n
="
note26
"/>
quiori motu deducunt, eſt; quò pondus in arcubus æqualibus re
<
lb
/>
ctius deſcendit, grauius eſſe videtur; cum pondus liberum, atq;
<
lb
/>
<
arrow.to.target
n
="
note27
"/>
ſolutum ſuaptè natura rectè moueatur; ſed in A rectius deſcen
<
lb
/>
dit; ergo in A grauius erit. </
s
>
<
s
id
="
id.2.1.13.3.1.7.0
">hocq; oſtendunt accipiendo arcum
<
lb
/>
AN arcui LD æqualem; à punctiſq; NL lineæ FG (quam
<
lb
/>
etiam directionis vocant) æquidiſtantes ducantur NRLQ, quæ
<
lb
/>
lineas AB DO ſecent in QR; & à puncto N ipſi FG perpen
<
lb
/>
dicularis ducatur NT. </
s
>
<
s
id
="
id.2.1.13.3.1.7.0.a
">rectèq; demonſtrant LQ ipſi PO æqua
<
lb
/>
lem eſſe, & NR ipſi CT; lineamq; NR ipſa LQ maiorem eſſe. </
s
>
<
s
id
="
id.2.1.13.3.1.8.0
">
<
lb
/>
Quoniam autem deſcenſu; ponderis ex A vſq; ad N per circum</
s
>
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p
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