DelMonte, Guidubaldo
,
Mechanicorvm Liber
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9
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ferentiam AN maiorem portionem lineæ FG pertranſit (quod
<
lb
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ipſi vocant capere de directo) quàm deſcenſus ex L in D per cir
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lb
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cumferentiam LD; cùm deſcenſus AN lineam CT pertranſeat,
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deſcenſus verò LD lineam PO; & CT maior eſt PO; rectior erit
<
lb
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deſcenſus AN, quám deſcenſus LD. </
s
>
<
s
id
="
id.2.1.13.3.1.8.0.a
">grauius ergo erit pondus
<
lb
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in A, quàm in L, & in quouis alio ſitu. </
s
>
<
s
id
="
id.2.1.13.3.1.9.0
">eodemq; prorſus
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lb
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modo oſtendunt, quò propius eſt ipſi A, grauius eſſe. </
s
>
<
s
id
="
id.2.1.13.3.1.10.0
">
<
lb
/>
Vt ſint circumferentiæ LD DA inter ſe ſe æquales, & à puncto
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lb
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D ipſi AB perpendicularis ducatur DR; erit DR ipſi CO æqua
<
arrow.to.target
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="
note28
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lis. </
s
>
<
s
id
="
id.2.1.13.3.1.11.0
">lineam deinde DR ipſa LQ maiorem eſſe demonſtrant. </
s
>
<
s
id
="
id.2.1.13.3.1.12.0
">di
<
lb
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cuntq; deſcenſum DA magis capere de directo deſcenſu LD, ma
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lb
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ior enim eſt linea CO, quàm OP; quare pondus grauius erit
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lb
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in D, quàm in L. quod ipſum euenit in punctis NM. </
s
>
<
s
id
="
id.2.1.13.3.1.12.0.a
">Suppo
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lb
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ſitionem itaq;, qua libram DE in AB redire demonſtrant, vt
<
arrow.to.target
n
="
note29
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notam, manifeſtamq; proferunt. </
s
>
<
s
id
="
id.2.1.13.3.1.13.0
">Nempè Secundùm ſitum pon
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lb
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dus grauius eſſe, quanto in eodem ſitu minus obliquus eſt deſcen
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lb
/>
ſus. </
s
>
<
s
id
="
id.2.1.13.3.1.14.0
">huiuſq; reditus cauſam eam eſſe dicunt; Quoniam ſcilicet
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arrow.to.target
n
="
note30
"/>
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lb
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deſcenſus ponderis in D rectior eſt deſcenſu ponderis in E, cùm
<
lb
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minus capiat de directo pondus in E deſcendendo, quàm pon
<
arrow.to.target
n
="
note31
"/>
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lb
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dus in D ſim liter deſcendendo. </
s
>
<
s
id
="
id.2.1.13.3.1.15.0
">Vt ſi arcus EV ſit ipſi DA
<
lb
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æqualis, ducanturq; VH ET ipſi FG perpendiculares; maior
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erit DR, quàm TH. </
s
>
<
s
id
="
N10C0D
">quare per ſuppoſitionem pondus in D ra
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lb
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tione ſitus grauius erit pondere in E. </
s
>
<
s
id
="
id.2.1.13.3.1.15.0.a
">pondus ergo in D, cùm ſit
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lb
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grauius, deorſum mouebitur; pondus verò in E ſurſum, donec li
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bra DE in AB redeat. </
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</
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<
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id
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id.2.1.14.1.0.0.0
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type
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">
<
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id
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id.2.1.14.1.1.1.0
">
<
margin.target
id
="
note22
"/>
<
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type
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italics
"/>
Cardanus primo de ſubtilitate.
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type
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</
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<
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id
="
id.2.1.14.1.1.2.0
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id
="
note23
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<
emph
type
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italics
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Ex
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emph.end
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15.
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tertii.
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</
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id.2.1.14.1.1.3.0
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<
margin.target
id
="
note24
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<
emph
type
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italics
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Cardanus.
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emph.end
type
="
italics
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</
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id
="
id.2.1.14.1.1.4.0
">
<
margin.target
id
="
note25
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<
emph
type
="
italics
"/>
Cardanus.
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emph.end
type
="
italics
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</
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<
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id
="
id.2.1.14.1.1.5.0
">
<
margin.target
id
="
note26
"/>
<
emph
type
="
italics
"/>
Iordanus propoſitio ne
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emph.end
type
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4. </
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<
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id
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id.2.1.14.1.1.6.0
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<
margin.target
id
="
note27
"/>
<
emph
type
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italics
"/>
Tartalea propoſitione
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emph.end
type
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5. </
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<
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id
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id.2.1.14.1.1.7.0
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note28
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34
<
emph
type
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italics
"/>
Primi.
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type
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</
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<
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id
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id.2.1.14.1.1.8.0
">
<
margin.target
id
="
note29
"/>
<
emph
type
="
italics
"/>
Iordanus ſuppoſitione
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emph.end
type
="
italics
"/>
4. </
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>
<
s
id
="
id.2.1.14.1.1.9.0
">
<
margin.target
id
="
note30
"/>
<
emph
type
="
italics
"/>
Iordanus propoſitio ne
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emph.end
type
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italics
"/>
3. </
s
>
<
s
id
="
id.2.1.14.1.1.10.0
">
<
margin.target
id
="
note31
"/>
<
emph
type
="
italics
"/>
Tartalea propoſitio ne
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emph.end
type
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italics
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5. </
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</
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<
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id
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type
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<
s
id
="
id.2.1.15.1.1.1.0
">Altera huius quoq; reditus ratio eſt, cùm trutina ſupra libram
<
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n
="
note32
"/>
<
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eſt in CF; linea CG eſt meta. </
s
>
<
s
id
="
id.2.1.15.1.1.2.0
">& quoniam angulus GCD ma
<
lb
/>
ior eſt angulo GCE, & maior à meta angulus grauius reddit
<
lb
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pondus; trutina igitur ſuperius exiſtente, grauius erit pondus in
<
lb
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D, quàm in E. </
s
>
<
s
id
="
N10C95
">idcirco D in A, & E in B redibit. </
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>
</
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<
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id
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id.2.1.16.1.0.0.0
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type
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<
s
id
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id.2.1.16.1.1.1.0
">
<
margin.target
id
="
note32
"/>
<
emph
type
="
italics
"/>
Cardanus.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
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id.2.1.17.1.0.0.0
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type
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">
<
s
id
="
id.2.1.17.1.1.1.0
">His itaq; rationibus conantur oſtendere libram DE in AB re
<
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dire; quæ meo quidem iuditio facile ſolui poſſunt. </
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>
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