Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota

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277LIBERI.
C.
11C
QVę verò dictis tangentibus oppoſitis ęquidiſtant, &
diuidunt productę, ſi opus ſit, ſimiliter ad eandem
partem ipſas incidentes, necnon oppoſitarum
tangentium portiones, quę in ſimilibus figuris iam dictis
reperiuntur, vocentur;
homologæ earumdem, ſumptę re-
gula qualibet earum;
dicantur autem lineæ homologę, quę
funt intra ambitum ſimilium figurarum, quę verò in ambi-
tu, latera homologa.
Ipſę verò tangentes etiam, tangentes
earumdem homologarum.
D. IV.
22D
CVm verò duę ſimiles figuræ planæ in eodem plano, vel
in planis ęquidiſtantibus ita poſitę fuerint, vt earum,
&
oppoſitarum tangentium, quę ſunt regulę homologarum
earumdem incidentes vel ſint ſuperpoſitę, vel ſibi inuicem
ęquidiſtent, homologis earumdem figurarum, &
homolo-
gis partibus ipſarum incidentium, ad eandem partem con-
ſtitutis, ipſæ figurę ſimiles dicantur etiam, inter ſe ſimiliter
poſitę;
ſiue à ſuis lineis, vel lateribus homologis ſimiliter
deſcriptæ.
E.
33E
SIverò fuerint quotcumq; & qualeſcumq; figurę planę in
eodem plano vtcumq;
diſpoſitę; fuerint autem alię tot
numero figurę in quouis plano, cum prędictis ita ſe haben-
tes, vt binę ſint ſimiles, &
earum omnium lineę homologę
duabus quibuſdam ſint æquidiſtantes:
ductis verò oppoſi-
tis tangentibus ſingularum ſimilium figurarum, quę ſint
parallelę illis duabus, quibus homologę earumdem ęqui-
diſtant, &
repertis incidentibus duarum ex dictis ſimilibus
figuris, &
earum tangentium, illę productę fuerint vſq; ad
extremas tangentes, reperiamus autem eaſdem à tangenti-
bus ſimilium figurarum ſimiliter ad eandem partem diuidi,
quarum portiones inter oppoſitas tangentes ſimilium figu-
rarum iacentes ſint earundem oppoſitarum tangentium, &

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