Aristoteles
,
Quæstiones Mechanicæ
,
1585
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Mechanicæ.
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<
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imè. </
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<
s
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xml:space
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">Amplius, quoniam opus eſt, vt reſtes pon-
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dus ferre poſſint, ſic certè pondere impoſito mi-
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nus laborabunt, ſi tranſuerſim, quàm ſi obliquè
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/>
extendantur. </
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>
<
s
xml:id
="
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xml:space
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preserve
">Præterea hoc etiam modo minus
<
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abſumitur reſtium. </
s
>
<
s
xml:id
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xml:space
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">Sit enim lectulus A F G K, & </
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<
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bifariam diuidatur ipſa F G ſecundùm B, æqua-
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lia certè foramina ſunt in ipſa F B, & </
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>
<
s
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">in ipſa F A.
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</
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<
s
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">latera enim ſunt æqualia. </
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>
<
s
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xml:space
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">nam totum F G
<
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norm
="
duplum
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type
="
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reg
>
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eſt. </
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>
<
s
xml:id
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xml:space
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">Extendunt autem, vt deſcriptum eſt, ab ipſo
<
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A ad ipſum B ita vbi eſt C, ita vbi D: </
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">ita vbi H,
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poſtea vbi E, & </
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<
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xml:space
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">eodem ſemper modo, donec ad
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angulum peruenerint alium. </
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<
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">Duo enim anguli
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reſtis habent capi a. </
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<
s
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xml:space
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">æquales autem ſunt reſtes
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ſecundum curuaturas, videlicet A B; </
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<
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xml:space
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">B C ipſis
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C D, & </
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<
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">& </
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<
s
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xml:space
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">aliæ ſimili ſe habet modo, quo-
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niam eadem demonſtratio. </
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<
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">ipſa enim AB æqua-
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lis eſt ipſi H E: </
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<
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">æqualia enim ſunt latera ſpatij
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B G, M A, & </
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">foramina æquè diſtant, ipſa autem
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B G æquelis eſt ipſi M A: </
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lis eſt angulo G: </
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intus, ille vero extra. </
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xml:space
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eſt enim F B æqualis ipſi F A: </
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xml:space
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">& </
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<
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">angulus vbi F, re
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ctus eſt. </
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xml:space
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">B
<
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type
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angulus æqualis ei vbi eſt G, quo-
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niam quadratum altera parte longius
<
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type
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eſt: </
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& </
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<
s
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">ad medium eſt curuatura. </
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<
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A D ip-
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ſi E G eſt æqualis: </
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<
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Similique
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modo demonſtrantur aliæ,
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æquales ſunt
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duæ, quæ ſec
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dùm curuataras ſunt, duabus. </
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">Qua
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re manifeſtum eſt,
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tot ſunt reſtes in lectulo,
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quot ſunt quatuor, ſicut A B. </
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<
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">Quanta autem fora
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<
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eſt multirudo in ipſo F G latere, & </
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>
<
s
xml:id
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xml:space
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">in eius
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dimidio F B eſt medietas. </
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>
<
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">Quamobrem in dimi-
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diato lectulo tantæ reſtium magnitudines
<
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erunt
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type
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">erũt</
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>
,
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quantum eſt A B: </
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>
<
s
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xml:space
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">multitudine verò tot, quot in
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B G ſunt foramina. </
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<
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