Clavius, Christoph, In Sphaeram Ioannis de Sacro Bosco commentarius

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38
CHRISTOPHORI
CLAVII BAMBERGENSIS
EX SOCIETATE IESV,
4[Figure 4]
VAriis modis, (vt Auctor eſt Proclus Dia
dochus in Commentarijs, quos in primũ
librum Euclidis conſcripſit) antiqui Philo-
ſophi diſciplinas Mathematicas partiti fue
re: Inter quorum omnium diuiſiones ea,
quæ Pithagoreis adſcribitur, & quã ſequũ-
tur Plato, Ariſtoteles, Boetius, alijq́; grauiſ-
ſimi Philoſophi cum veteres, tum etiam re
centiores, celeberrima ſemper extitit; qua quidem omnes
diſciplinę Mathematicæ in quatuor præcipua genera, puta
11Diuiſio Ma
thematica-
r@m diſci-
plinatum. in Arithmeticam, Geometriam, Muſicam, & Aſtronomiam
diſtribuuntur; neque id ſine ratione factum eſſe exiſtimandum
eſt. Cum. n. uniuerſæ facultates Mathematicæ circa quantitatẽ uer
ſentur, duplex autem ſit quantitas, diſcreta, atque continua; Rur
ſus quantitas diſcreta uel abſolute, ac per ſe, uel comparatione al-
terius conſiderari poſsit; Pari rõne quantitas continua uel ut im-
mobilis, uel ut mobilis, ſub cognitionẽ noſtrã cadat; Iure optimo
effectũ eſt, ut quatuor præcipuæ Mathematicæ diſciplinæ cõſti-
tuerẽtur, quæ de duplici quãtitate ſub duplici utriuſq; conſidera-
tione diſputarent, cuiuſmodi ſunt illæ quattuor iam enumeratæ.
Arithmetica ſiquidem circa quantitatem diſcretam,
hoc eſt, numerũ abſolute ac per ſe conſideratũ uerſatur, paſsiones
eius, & totã numerorum uim unà cum arte numerãdi diffuſe, ac di
ligenter inquirens, explicansq́ue. Geometria deinde de
quantitate cõtinua immobili diſſerit, & terræ aliarumq́; rerũ

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