# Full text: Cavalieri, Bonaventura: Geometria indivisibilibvs continvorvm

GEOMETRIÆ ſum ſit, AV, centrum, O, aſymptoti indefinitè producti, NP, HY,
per puncta autem, AV, ſint ductæ ordinatim, NH, YP, productæ
vſq; ad aſymptotos, in punctis, N, H, Y, P, ipſis incidentes, quæ
fectiones tangent, deinde iunctis, NY, HP, producantur ipſæ tun-
gentes vſq; ad ſectiones illis in punctis, F, E, C, D,
occurrentes, iunganturque, FD, EC, & per, O, ad
ipfam, AV, ordinatim applicetur, XL, incidens, F
E, in, X, & , DC, in, L, quæ erit ſecunda diameter,
& producatur, AV, indeſinitè incidens ipſis, FD,
EC, in punctis, R, Z, erit ergo, FC, parailelogrã-
mum, nam rectangulum, YFN, . i. rectangulum, E
NF, eſt æquale quadrato, AO, ideſt rectangulo, C
tum, XF, erit æquale rectangulo, CHD, cum quadrato, LH, . i. quadrato, LD, & ideò, XF, erit æqualis ipſi, LD, & eius dupla, F
E, æqualis duplæ, CD, & eidem parallela, vnde, FD, erit, EC,
parallela, & ambæ ordinatim ad axim, vel diametrum, RZ, or-
dinatim applicatæ, & ideò in, R, Z, bifatiam ſectæ, & , FC, erit
parallelogrammum, ſitregula latus tranſuerſum, AV, Dico nũc
omnia quadrata parallelogrammi, FC, eſſe ſexquialtera omnium
ducantur nunc aſymptoti, NP, HY, verſus, EC, cui productæ in-
cidant in S, I, eſt ergo rectangulum, SEI, æquale quadrato, YV,