Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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0032
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ARCHIMEDIS
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ceatinclinata. </
s
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<
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xml:space
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">Demonſtrandum eſt non manere ipſam; </
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<
s
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xml:space
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rectam reſtitui. </
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<
s
xml:id
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xml:space
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">Itaque ſecta ipſa plano per axem, recto ad
<
lb
/>
planum, quod eſt in ſuperficie humidi, portionis ſectio ſit
<
lb
/>
a p o l rectanguli coni ſectio: </
s
>
<
s
xml:id
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xml:space
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">axis portionis, & </
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>
<
s
xml:id
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xml:space
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">ſectionis
<
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diameter n o: </
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<
s
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xml:space
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">ſuperficiei autem humidi ſectio ſit i s. </
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<
s
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xml:space
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">Si
<
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igitur portio non eſt recta; </
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<
s
xml:id
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xml:space
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">non utique erit a l ipſi i s æ-
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quidiſtans. </
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<
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</
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<
s
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xml:space
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">ducatur crgo k ω contingens ſectionem coni in p [quæ
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xml:space
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">Suppleta
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a. Federi-
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co Cõm.</
note
>
ipſi i s æquidiſtet: </
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>
<
s
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xml:space
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">& </
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<
s
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xml:space
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">à puncto p ad i s ducatur p f æquidi
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ſtans ipſi o n, quæ erit ſectionis i p o s diameter, & </
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<
s
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xml:space
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<
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<
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xlink:label
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xml:space
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tionis in humido demerſæ. </
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tatum: </
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<
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xml:space
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">ſolidæ magnitudinis a p o l grauitatis centrũ
<
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<
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xlink:label
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note-0032-03a
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r; </
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xml:space
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<
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xml:space
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">iuncta b r produca-
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tur ad g, quod ſit centrum grauitatis reliquæ figuræ i s l a.
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</
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<
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<
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eius autẽ, quæ uſque ad axẽ minor, quam ſeſquialtera; </
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>
<
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xml:space
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">erit
<
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xlink:label
="
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xlink:href
="
note-0032-05a
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xml:space
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">E</
note
>
r o minor, quàm quæ uſque ad axem. </
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>
<
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xml:id
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xml:space
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">Quare angulus r p ω
<
lb
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<
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xlink:label
="
note-0032-06
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xlink:href
="
note-0032-06a
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xml:space
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">F</
note
>
acutus erit: </
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<
s
xml:id
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xml:space
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">cum enim linea, quæ uſque ad axem maior ſit
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ipſa r o; </
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">quæ à puncto r ad k ω perpendicularis ducitur,
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uidelicet r t, cũ
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19
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linea f p extra
<
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ſectionem con
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ueniet: </
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<
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xml:space
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pterea inter p
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& </
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<
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xml:space
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datneceſſe eſt.
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</
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ducantur lineæ
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ipſi r t æquidi-
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ſtantes; </
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>
<
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xml:space
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">angu-
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lb
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los rectos cum
<
lb
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ſuperficie humidi continebunt: </
s
>
<
s
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xml:space
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s
>
<
s
xml:id
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xml:space
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">quod in humido eſt ſur-
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<
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xlink:label
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note-0032-07a
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>
ſum feretur ſecundum perpendicularem, quæ per b ducta
<
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eſt, ipſi r t æquidiſtans: </
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<
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