Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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_erit conuertendo tota portio ad partem ipſius demerſam, ut quadrd-_
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_tum b d ad exceſſum, quo quadratum f q excedit. </
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<
s
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xml:space
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">quare per conuer-_
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_ſionem rationis tota portio ad eam, quæ extra humidum est ut_
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_qu.</
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<
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xml:space
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<
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xml:space
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">nam quadratum b d tanto maius_
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_est exceſſu, quo excedit quadratum f q, quantum est ipſum f q qua-_
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_dratum_.</
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<
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">_Quoniam quæ ex parte 1 deorſum, quæ uero ex parte a_
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_ſurſum ferentur.</
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<
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">]_ Hæc nos ita correximus, nam in translatione
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mendoſe, ut opinor, legebatur, quoniam quæ ex parte l ad ſuperiora
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ferentur, perpendicularis enim quæ tranſit per z ad partes l, & </
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<
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xml:space
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per g ad partes a cadit. </
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">quare centrum z unà cum p. </
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<
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ſunt ad l deorſum feretur, centrum uero g unà cum partibus quæ ad
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a ſurſum.</
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<
s
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">Similiter demonſtrabitur non manere portionem, ſed
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inclinari, donec utique axis cum ſuperficie humidi faciat
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angulum angulo b æqualem.</
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<
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">] _Illud uero tum ex ijs, quæ in an_
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_tecedenti dicta ſunt, tum ex figuris, quas appoſuimus, facile demon-_
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_strari potest._</
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<
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portio conoidis rectanguli, quando
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leuior humido axem habuerit maiorem, quàm
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ut ad eam, quæ uſque ad axem proportionem ha-
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beat, quam quindecim ad quatuor: </
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<
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demiſſa, ita ut baſis ipſius non contingat humi-
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dum: </
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nunquam inclinata: </
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ut baſis ipſius in uno puncto contingat ſuperfi-
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ciem humidi: </
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