DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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Ducantur à punctis MN ipſi AGE ęquidiſtantes QMR
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lb
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SNT. erunt vti〈que〉 AQRG, & GSTE parallelogramma.
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Quoniam igitur parallelogramma AK GF in æqualibus
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ſuntbaſibus AG GE, & in ijſdem parallelis; erunt AK
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inter ſe ęqualia. </
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s
id
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N12C02
">& quoniam AC GK EF ſunt
<
expan
abbr
="
ęquidiſtãtes
">ęquidiſtantes</
expan
>
;
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lb
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erit angulus CAG ipſi KGE ęqualis, & KGA ipſi
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arrow.to.target
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="
marg72
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æqualis; & horum oppoſiti inter ſe ſunt ęquales;
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n
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marg73
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paralle
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lb
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logrammum GF ipſi AK ęquale, & ſimile exiſtit. </
s
>
<
s
id
="
N12C15
">Ita〈que〉
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lb
/>
ſi GF colloceturſuper AK, rectè congruet: eruntquè paral
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lb
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lelogramma inuicen coaptata. </
s
>
<
s
id
="
N12C1B
">lineęquè GE AG, GK AC, &
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lb
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reliquæ coaptatæ erunt. </
s
>
<
s
id
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N12C1F
">quare eorum centra
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arrow.to.target
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="
marg74
"/>
inui
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lb
/>
cem coaptata erunt. </
s
>
<
s
id
="
N12C27
">hoc eſt N erit in puncto M. Quoniam
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lb
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autem à punctis MN (quod nunc intelligitur vnum tantum
<
lb
/>
eſſe punctum) ductæ fuerunt ST QR ipſi AGE æquidi
<
lb
/>
ſtantes, linea ST coaptabitur cum QR, quippe cùm ambæ
<
lb
/>
hæ lineæ ab vno puncto prodeuntes ipſi AG ęquidiſtantes
<
lb
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eſſe debeant. </
s
>
<
s
id
="
N12C33
">punctum igitur S in Q, & T in R coaptabi
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lb
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tur. </
s
>
<
s
id
="
N12C37
">eritquè QM ipſi SN ęqualis, & MR ipſi NT. ac pro
<
lb
/>
pterea linea GS parallelogrammi GT erit coaptata in
<
expan
abbr
="
Aq;
">A〈que〉</
expan
>
<
lb
/>
& ET coaptata erit in GR parallelogrammi AR. Vnde e
<
lb
/>
rit AQ ęqualis GS, cùm ſint coaptatæ; & GR ipſi ET ę
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lb
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qualis; cùm ſint quo〈que〉 coaptatę. </
s
>
<
s
id
="
N12C45
">Quocirca
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arrow.to.target
n
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marg75
"/>
pa
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lb
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rallelogramma AR GT ſunt inuicem coaptata, paral
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lb
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lelogrammorumquè oppoſita latera ſunt inter ſe ęqualia,
<
expan
abbr
="
erũt
">erunt</
expan
>
<
lb
/>
AQ GS GR ET inter ſe ęqualia. </
s
>
<
s
id
="
N12C55
">Nunc autem
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expan
abbr
="
intelligãtur
">intelligantur</
expan
>
<
lb
/>
parallelogramma AK GF non ampliùs coaptata. </
s
>
<
s
id
="
N12C5D
">&
<
expan
abbr
="
quoniã
">quoniam</
expan
>
<
lb
/>
lineę QMR, & SNT ſuntipſi AGE parallelę; & AQ GR,
<
lb
/>
GS ET, inter ſe ſuntæquales, & ęquidiſtantes; puncta RS in
<
lb
/>
vnum coincident punctum. </
s
>
<
s
id
="
N12C69
">eritquè QST linea recta. </
s
>
<
s
id
="
N12C6B
">ex qui
<
lb
/>
bus patet, rectam
<
expan
abbr
="
lineã
">lineam</
expan
>
, quæ coniungit centra grauitatis MN
<
lb
/>
ipſi AGE æquidiſtantem exiſtere. </
s
>
<
s
id
="
N12C75
">eodemquè modo oſtende
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lb
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tur rectas lineas, quæ coniungunt grauitatis centra NO, cen
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lb
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traquè OP, ipſi AB
<
expan
abbr
="
æquidiſtãtes
">æquidiſtantes</
expan
>
eſſe. </
s
>
<
s
id
="
N12C7F
">Vnde ſequitur lineam
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lb
/>
MNOP rectam eſſe. </
s
>
<
s
id
="
N12C83
">Quare primùm conſtat grauitatis
<
expan
abbr
="
cẽtra
">centra</
expan
>
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lb
/>
in recta linea exiſtere. </
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>
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36.
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primi.
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29.
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primi.
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34.
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primi.
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5.
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post, hu
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ius.
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34.
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primi.
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<
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number
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p
id
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type
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<
s
id
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N12CCA
">Quoniam autem oſtenſum eſt QM æqualem eſſe ipſi SN,
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lb
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& MR ipſi NT, eodem quo〈que〉 modo oſtendetur OT </
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