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# Title: [Danielis Lipstorpii Lubecensis, Specimina Philosophiae Cartesianae] Danielis Lipstorpii Lubecensis, Specimina Philosophiæ Cartesianæ (shelfmarks Leibn. Marg. 14; ZEN Leibn. Marg. 14)
# Folio 219, page id 746572255:0243
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A P P F N D IZ.
213
aesus est hoc etiam demonstrandi modo; ut ex hoc theoremate 12
est manifestum. IIaec Clarius ibidem.
Duo aurem clarius hxec percipianEur, apponam prO
Pol. 12. lib. r. Sphaericorum Theodoti. In sphera circuli, qui
se mutuo bisariam secant, sunt maximi: qua ita demon-
Arac. In sphaera ABCD circuli AC, BD, Se mutuo secent
bitariam in punctis L, F; dico circulos AC, BD esC maxi
os. Cum enim se mucuo bitariam secent in F, F cric ducta
recta FF urriusque diamerer, cum lola diamerer circulum
quemcunque bitariam diridat, ac proinde divila rectâ FF
Ditariam in C, erit C+ urriusque circuli centrum: quod dico
etiam else sphaera centrum, arque adeo urrum que circulum
Per (phaerae centrum duci. Si namque C dicatur non esse sphae-
raecentrum, ac proinde circulos AC, BD non esse per sphaerae cen-
trum ductos, hocipso ostendemus, C esse centrum sphaerae, at-
que idcirco uerumque circulum per spherae centrum duci. Eri-
Satur enim ex C, ad planum circuli A C perpendicularis
Ctl. icem CIl, perpendicularis ad planum cieculi BD. Ouo-
niam isirur circuli AC, BD ponuncurnon trantire percen-
rrum sphaerae, eranlibie urraque perpendicularis C7FL, CII PCF
cenrrum sphaera. Quare punctum CF, in quo conveniunt,
ccurrum erit sphaera; aliascentrum non exilterer in uera-
quc: ac proinde urerque circulus per centrum lphaeracra
siciceur. Sunt ergo circuli AC, BD, per cenerum sphaera
trajecti, maximi. In sphxra ergo circuli, qui le muruo bita-
riam lecane, lune maximi. Ouod erat octendendum.
Sed ut verum tarcar, nescio lane, quid Clavio in mentem
venerie, uti er Cardano, quare insolitum hunc, e mirabilem
argumentandimodu ese pucarerine, qui tamen Logicis val-
detamiliaris est, de duobus principiis omnium cridenrissi
is, ex nacura nocillimis nicitur, hilce nempe: quod idem
non possit simul esse es non esse. Irem quodlibet aut sit, aut non sit.
F enim hic oppositio conrradictoria: (cum accuraté lo-
F.C 2
guendo