DelMonte, Guidubaldo
,
Mechanicorvm Liber
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xlink:href
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<
s
id
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">Sit pondus A trochleæ inferiori alligatum,
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quæ orbiculum habeat, cuius centrum ſit B; tro
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chlea verò ſuperior duos orbiculos habeat,
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quorum centra ſint CD; ſitq; funis circa om
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nes orbiculos reuolutus, qui in EF ſit religatus;
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potentiaq; ſuſtinens pondus ſit in G. </
s
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<
s
id
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id.2.1.197.8.1.1.0.a
">dico po
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lb
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tentiam in G ponderis A duplam eſſe. </
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>
<
s
id
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">ſi enim
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note278
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in H k duæ eſſent potentiæ pondus ſuſtinen
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tes, eſſet vtraq; ſubdupla ponderis A; ſed po
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tentia in D dupla eſt potentiæ in H, & poten
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tia in C dupla potentiæ in K; quare duæ ſimul
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potentiæ in CD vtriuſq; ſimul potentiæ in H k
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duplæ erunt. </
s
>
<
s
id
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">ſed potentiæ in H k ponderi A ſunt
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lb
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æquales, & potentiæ in CD ipſi potentiæ in G
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lb
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ſunt etiam æquales; potentia igitur in G ponde
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ris A dupla erit. </
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<
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">quod oportebat demonſtrare. </
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2.
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Cor.
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2
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Huius.
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Ex
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15
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huius.
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<
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">Si autem in G ſit potentia mouens pon
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dus, ſimiliter vt in præcedenti oſtendetur ſpa
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tium ponderis ſpatii potentiæ duplum eſſe.
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<
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">Hinc quoq; conſiderandum eſt vectem PQ
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non moueri, quia vectis LM habet fulcimen
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tum in L, potentia in medio, & pondus in M. </
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>
<
s
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<
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vectis autem NO habet fulcimentum in O,
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potentia in medio, & pondus in N. </
s
>
<
s
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N15D20
">quare M, & N ſurſum mo
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uebuntur. </
s
>
<
s
id
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">in contrarias igitur partes orbiculi, quorum centra
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ſunt CD mouentur. </
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<
s
id
="
id.2.1.199.2.1.3.0
">idcirco vectis PQ in neutram partem mo
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uebitur; eritq;, ac ſi in medio eſſet appenſum pondus, & in PQ
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duæ potentiæ æquales dimidio ponderis A. </
s
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<
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id
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">vtraq; enim potentia
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in HK ſubdupla eſt ponderis A. </
s
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<
s
id
="
N15D34
">totus igitur orbiculus, cuius
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centrum B ſurſum mouebitur, ſed non circumuertetur. </
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