DelMonte, Guidubaldo
,
Mechanicorvm Liber
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036/01/033.jpg
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<
s
id
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">Producatur FG vſq; ad mundi cen
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trum, quod ſit S. </
s
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<
s
id
="
N10D12
">& à puncto S circu
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lum AFBG contingens ducatur. </
s
>
<
s
id
="
id.2.1.17.5.1.2.0
">neq;
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lb
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enim linea à puncto S circulum con
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tingere poteſt in A; nam ducta AS
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lb
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triangulum ACS duos haberet angu
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los rectos, nempè SAC ACS, quod
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eſt impoſsibile. </
s
>
<
s
id
="
id.2.1.17.5.1.3.0
">neq; ſupra punctum A
<
lb
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in circumferentia AF continget; cir
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lb
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culum enim ſecaret. </
s
>
<
s
id
="
id.2.1.17.5.1.4.0
">tanget igitur in
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lb
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fra, ſitq; SO. </
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<
s
id
="
N10D32
">connectantur deinde SD
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SL, quæ circumferentiam AOG in
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punctis KH ſecent. </
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<
s
id
="
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">& Ck CH con
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lb
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iungantur. </
s
>
<
s
id
="
id.2.1.17.5.1.6.0
">Et quoniam pondus, quanto
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lb
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propius eſt ipſi F, magis quoque inni
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titur centro; vt pondus in D magis ver
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ſionis puncto C innititur tanquam
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centro; hoc eſt in D magis ſupra li
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neam CD grauitat, quàm ſi eſſet in A
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ſupra lineam CA; & adhuc magis in
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L ſupra lineam CL; Nam cùm tres
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anguli cuiuſcunq; trianguli duobus re
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ctis ſint æquales, & trianguli DCk æquicruris angulus DCk
<
lb
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minor ſit angulo LCH æquicruris trianguli LCH: erunt reli
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qui ad baſim ſcilicet CDk CkD ſimul ſumpti reliquis CLH
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CHL maiores. </
s
>
<
s
id
="
id.2.1.17.5.1.7.0
">& horum dimidii; hoc eſt angulus CDS angu
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lo CLS maior erit. </
s
>
<
s
id
="
id.2.1.17.5.1.8.0
">cùm itaq; CLS ſit minor, linea CL ma
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gis adhærebit motui naturali ponderis in L prorſus ſoluti. </
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<
s
id
="
id.2.1.17.5.1.9.0
">hoc
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lb
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eſt lineæ LS, quàm CD motui DS. </
s
>
<
s
id
="
id.2.1.17.5.1.9.0.a
">pondus enim in L
<
expan
abbr
="
libe
">li</
expan
>
<
lb
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berum, atq; ſolutum in centrum mundi per LS moueretur, pon
<
lb
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dusq; in D per DS. </
s
>
<
s
id
="
id.2.1.17.5.1.9.0.b
">quoniam verò pondus in L totum ſuper LS
<
lb
/>
grauitat, in D verò ſuper DS: pondus in L magis ſupra lineam
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lb
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CL grauitabit, quàm exiſtens in D ſupra lineam DC. </
s
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<
s
id
="
N10D7F
">ergo
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linea CL pondus magis ſuſtentabit, quàm linea CD. </
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<
s
id
="
id.2.1.17.5.1.9.0.c
">Eodem
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lb
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〈qué〉 modo, quò pondus propius fuerit ipſi F, magis ob hanc cau
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ſam à linea CL ſuſtineri oſtendetur; ſemper enim angulus CLS </
s
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