Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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5723DE IIS QVAE VEH. IN AQVA. ipſa b c: & idcirco f minor ipſa b r. ſit ipſi f æqualis r ψ:
11C ducaturq; ad b d perpendicularis ψ e, quæ posſit dimidiũ
eius, quod lineis _k_ r, ψ b continetur:
& iungatur b c. De-
monſtrandum eſt portionem in humidum demiſſam, ſicu-
ti dictum eſt, conſiſtere inclinatam ita, ut axis cum ſuperſi-
cie humidi angulum faciat angulo c b ψ æqualem.
demit-
tatur enim aliqua portio in humidum, ut baſis ipſius hu-
midi ſuperficiem non contingat:
& ſi fieri poteſt, axis cum
ſuperficie humidi non faciat angulum æqualem angulo
e b ψ;
ſed primo maiorem. ſecta autẽ portione plano per
perficiem humi-
di, ſit ſectio a p o l
rectanguli coni ſe
ctio:
ſuperficiei
humidi ſectio x s:
ſitq; axis portio-
nis, &
ſectiõis dia
meter n o:
& du-
catur p y quidem
ipſi x s æquidi-
ſtans, quæ ſectio-
nem a p o l contin
gat in p:
p m ue-
ro æquidiſtans ip-
ſi n o: