207169Conicor. Lib. VI.227[Figure 227]
prima figura extra duo ſegmenta, &
in ſecunda intra, at in ter-
tia intra duos ſemicirculos), & fuerit proportio plani rectan-
guli ex portionibus lineæ baſis inter angulum prouenientem, &
duos angulos reliquos trianguli, nempe A H in H C ad qua-
112 dratum interceptæ inter prouenientem angulum, & circuli peri-
pheriam, nempe ad quadratum H B in quolibet caſu eadem
ſit, quàm D I in I F ad quadratum I E, vel H A in H C ad
quadratum H T ſit, vt D I in I F ad quadratum I G; ſintque
duo priores anguli, inter ſe æquales, & prouenientes extra duo
triangula poſiti: vel duo priores recti, & prouenientes intra
223 duos angulos non ſint recti; aut duo priores non recti, & pro-
334 uenientes recti intra duo triangula: vel duo priores diuerſæ,
445 aut eiuſdem ſpeciei, ſed duæ lineæ efficiant duos angulos æqua-
les cum lateribus duorum triangulorum ſubtendentibus angulos
prouenientes: vtique duo priora triangula ſunt ſimilia.
tia intra duos ſemicirculos), & fuerit proportio plani rectan-
guli ex portionibus lineæ baſis inter angulum prouenientem, &
duos angulos reliquos trianguli, nempe A H in H C ad qua-
112 dratum interceptæ inter prouenientem angulum, & circuli peri-
pheriam, nempe ad quadratum H B in quolibet caſu eadem
ſit, quàm D I in I F ad quadratum I E, vel H A in H C ad
quadratum H T ſit, vt D I in I F ad quadratum I G; ſintque
duo priores anguli, inter ſe æquales, & prouenientes extra duo
triangula poſiti: vel duo priores recti, & prouenientes intra
223 duos angulos non ſint recti; aut duo priores non recti, & pro-
334 uenientes recti intra duo triangula: vel duo priores diuerſæ,
445 aut eiuſdem ſpeciei, ſed duæ lineæ efficiant duos angulos æqua-
les cum lateribus duorum triangulorum ſubtendentibus angulos
prouenientes: vtique duo priora triangula ſunt ſimilia.