DelMonte, Guidubaldo
,
Mechanicorvm Liber
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89
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xlink:href
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type
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<
s
id
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id.2.1.177.18.1.1.0
">Sit orbiculus trochleæ ſupernè appenſæ, cu
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ius centrum ſit A; & BCD ſit trochleæ infe
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rioris; ſit deinde funis EBC DFGHL reli
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gatus in E; & in L ſit appenſum pondus M;
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ſitq; potentia in N ſuſtinens pondus M. </
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="
id.2.1.177.18.1.1.0.a
">
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dico potentiam in N duplam eſſe ponderis
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M. </
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<
s
id
="
id.2.1.177.18.1.1.0.b
">Cùm enim ſupra oſtenſum ſit potentiam
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in L, quæ pondus, exempli gratia, O ſuſti
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neat
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in N appenſum, ſubduplam eſſe eiuſdem
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ponderis; potentia igitur in N ponderi O æ
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qualis pondus M potentiæ in L æquale ſuſti
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nebit; ponderiſq; M dupla erit. </
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<
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id
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id.2.1.177.18.1.2.0
">quod demon
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ſtrare oportebat. </
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3
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Huius.
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<
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">ALITER. </
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<
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id
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">Iiſdem poſitis. </
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>
<
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id
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">Quoniam potentia in F,
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ſeu in D, quod idem eſt, æqualis eſt ponde
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ri M; & BD eſt vectis, cuius fulcimentum
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eſt B, & potentia in N eſt, ac ſi eſſet in me
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dio vectis, & pondus æquale ipſi M, ac ſi eſ
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ſet in D propter funem FD; quod idem
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eſt, ac ſi BCD eſſet orbiculus trochleæ ſupe
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rioris, pondusq; appenſum eſſet in fune DF,
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ſicut in decimaquinta, & decimaſexta dictum eſt; ergo potentia in
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N dupla eſt ponderis M. </
s
>
<
s
id
="
N15555
">quod erat oſtendendum. </
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>
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1
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Huius.
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</
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type
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<
s
id
="
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">Si autem in N ſit potentia mouens pondus M, erit ſpatium
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ponderis M duplum ſpatii potentiæ in N. </
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>
<
s
id
="
N1556C
">quod ex duodecima
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huius manifeſtum eſt; ſpatium enim puncti L deorſum ten
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dentis duplum eſt ſpatii N ſurſum; erit igitur è conuerſo ſpatium
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potentiæ in N deorſum tendentis dimidium
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abbr
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ſaptii
">spatii</
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ponderis M ſur
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ſum moti. </
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<
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id
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">Sicut autem ex tertia, quinta, ſeptima huius, &c. </
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>
<
s
id
="
id.2.1.181.2.1.2.0
">colligi poſſunt
<
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ponderis O rationes quotcunq; multiplices ipſius potentiæ in L,
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<
expan
abbr
="
eodẽ
">eodem</
expan
>
quoq; modo oſtendi poterunt potentiæ in N pondus ſuſtinen
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tis ponderis M quotcunq; multiplices. </
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>
<
s
id
="
id.2.1.181.2.1.3.0
">Atq; ita ex decimatertia </
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>
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