517497LIBER VII.
THEOREMA II. PROPOS. II.
FIguræ planæ quæcumq;
in eiſdem parallelis conſtitu-
tæ, in quibus, ductis quibuſcumq; eiſdem parallelis
æquidiſta t@bus rectis lineis, conceptæ cuiuſcumq; rectæ
lineæ portiones ſunt inter ſe, vt cuiuſlibet alterius in eiſdẽ
figuris conceptæ portiones (homologis tamen in eadem
figura ſemper exiſtentibus) eandem inter ſe proportionem
habebunt, quam dictæ portiones. Dicantur autem pro-
portionaliter analogæ, ac etiam, ſi libuerit, iuxta regulas
ipſas parallelas, in quibus exiſtunt.
tæ, in quibus, ductis quibuſcumq; eiſdem parallelis
æquidiſta t@bus rectis lineis, conceptæ cuiuſcumq; rectæ
lineæ portiones ſunt inter ſe, vt cuiuſlibet alterius in eiſdẽ
figuris conceptæ portiones (homologis tamen in eadem
figura ſemper exiſtentibus) eandem inter ſe proportionem
habebunt, quam dictæ portiones. Dicantur autem pro-
portionaliter analogæ, ac etiam, ſi libuerit, iuxta regulas
ipſas parallelas, in quibus exiſtunt.
Sint duæ quælibet figuræ planæ, Β&
℟ΚΓΔ, CΦλ, inter paralle-
las AD, ΧΩ, conſtitutæ, ducta vero vtcumq; EQ, prædictis paral-
lela, eiuſdem portiones in figura, Β& Δ, conceptæ, quæ ſint, HI, L
M, ſimul ſumptæ ſint ad eam, ſeu ad eas, quæ concipiuntur in fi-
gura, CΦλ, vt aliæ quælibet ſimiliter ſumptæ, nempè ex. g. vt, &
℟ΓΔ, ad, Φλ. Dica figuram, Β& ℟κΓΔ, ad figuram, CΦλ, eſſe vt,
HI, LM, ad, NO, velvt, & ℟, ΓΔ, ad, Φλ, vel vt quęlibet aliæ ſi-
militer ſumptæ. Accipiantur in, Φλ, producta verſus, λ, quotcũq;
eidem, Φλ, æquales, vt; λ2, ſimiliter quælibet linearum figuræ, CΦ
λ, producatur, & in ipſa intelligantur tot aſſumptæ æquales vni-
cuiq; productarum, quot aſſumptæ ſunt æquales ipſi, Φλ, ex. g.
las AD, ΧΩ, conſtitutæ, ducta vero vtcumq; EQ, prædictis paral-
lela, eiuſdem portiones in figura, Β& Δ, conceptæ, quæ ſint, HI, L
M, ſimul ſumptæ ſint ad eam, ſeu ad eas, quæ concipiuntur in fi-
gura, CΦλ, vt aliæ quælibet ſimiliter ſumptæ, nempè ex. g. vt, &
℟ΓΔ, ad, Φλ. Dica figuram, Β& ℟κΓΔ, ad figuram, CΦλ, eſſe vt,
HI, LM, ad, NO, velvt, & ℟, ΓΔ, ad, Φλ, vel vt quęlibet aliæ ſi-
militer ſumptæ. Accipiantur in, Φλ, producta verſus, λ, quotcũq;
eidem, Φλ, æquales, vt; λ2, ſimiliter quælibet linearum figuræ, CΦ
λ, producatur, & in ipſa intelligantur tot aſſumptæ æquales vni-
cuiq; productarum, quot aſſumptæ ſunt æquales ipſi, Φλ, ex. g.