443423LIBER V.
ſic eſſe quodlibet ſolidum ſimilare genitum ex, FC, demptis ſoli-
dis ſimilaribus genitis ex oppoſitis hypeibolis, FAD, EVC, ad @o-
lidum ſibi ſimilare genitum ex, TN, demptis ſolidis ſimilaribus
genitis ex oppoſitis hyperbolis, TAY, MVN, iuxta communem
regulam, EC.
dis ſimilaribus genitis ex oppoſitis hypeibolis, FAD, EVC, ad @o-
lidum ſibi ſimilare genitum ex, TN, demptis ſolidis ſimilaribus
genitis ex oppoſitis hyperbolis, TAY, MVN, iuxta communem
regulam, EC.
COROLLARIVM XXIV.
IN Propoſ.
24.
expoſita eius figura, &
, vt fiat exemplum, ea
circa axem, XL, reuoluta, vt ex figura, EV@DAF, fiat tyin-
panum hyperbolicum, EVCDAF, & ex figura, MVNYAT, fiat
306[Figure 306]
tympanum hyperbolicum,
MVNYAT, patet tympa-
num, EVCDAF, ad tympa-
num, MVNYAT, eſſe vt
parallelep pedum ſub, XL,
& quadrato, RZ, cum duplo
quadrati, AV, ad parallele
pipedum ſub, HG, & qua
drato, B@, cum duplo qua-
drati, AV; & ſic eſſe quod-
libet ſolidum ſim@lare genitũ
ex figura, EVCDAF, ad ſibi ſimilare genitum ex figura, MVNY
AT, iuxta communem regulam, CD.
circa axem, XL, reuoluta, vt ex figura, EV@DAF, fiat tyin-
panum hyperbolicum, EVCDAF, & ex figura, MVNYAT, fiat
MVNYAT, patet tympa-
num, EVCDAF, ad tympa-
num, MVNYAT, eſſe vt
parallelep pedum ſub, XL,
& quadrato, RZ, cum duplo
quadrati, AV, ad parallele
pipedum ſub, HG, & qua
drato, B@, cum duplo qua-
drati, AV; & ſic eſſe quod-
libet ſolidum ſim@lare genitũ
ex figura, EVCDAF, ad ſibi ſimilare genitum ex figura, MVNY
AT, iuxta communem regulam, CD.
COROLLARIVM XXV.
IN Prop.
25.
viſa figura anteced.
Coroll in qua ex triangulis,
QOP, IOK, geniti ſint coni opooſiti, QOP, IOK, & ex trian-
gulis, ΠΟΩ, ℟O& , coni oppoſiti. ΠΟΩ, ℟O& , patet tympanu,
EVCDAF, demptis con@s, QOP, IOK, ad tympanum, MVNYA
T, demptis conis, ΠΟΩ ℟O& , eſſe vt, XL, ad, HG; & ſic eſſe ſo-
lidum ſimilare genitum ex figura, EV@DAF, demptis ſolidis ſimi-
laribus genitis ex triangulis, QOP, IOk, ad ſolidum ſimilare geni-
tum ex figura, TAYNVM, demptis ſolidis ſimilaribus genitis ex
triangulis, & O℟, Ω@Π, @uxta communem regulam, AV.
QOP, IOK, geniti ſint coni opooſiti, QOP, IOK, & ex trian-
gulis, ΠΟΩ, ℟O& , coni oppoſiti. ΠΟΩ, ℟O& , patet tympanu,
EVCDAF, demptis con@s, QOP, IOK, ad tympanum, MVNYA
T, demptis conis, ΠΟΩ ℟O& , eſſe vt, XL, ad, HG; & ſic eſſe ſo-
lidum ſimilare genitum ex figura, EV@DAF, demptis ſolidis ſimi-
laribus genitis ex triangulis, QOP, IOk, ad ſolidum ſimilare geni-
tum ex figura, TAYNVM, demptis ſolidis ſimilaribus genitis ex
triangulis, & O℟, Ω@Π, @uxta communem regulam, AV.
COROLLARIVM XXVI.
IN Prop.
26.
viſis figuris Corollarij 23.
24.
&
ſuppoſito, FC,
eſſe idem parallelogrammum, in vunq; figuris pate@
eſſe idem parallelogrammum, in vunq; figuris pate@
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