516496GEOMETRIE
346[Figure 346]
laru n in vnaquaq;
figura, 5Δ&
, 5&
ΣΤ, integræ omnes, ſicut
contingere ſuppoſuimus in fruſtis, QΦR, 7R Ω6, ergo cum, QΦR,
11En antec.
Lem.5Δ& , ſint figuræ etiam æqualiter analogæ, inter ſe æquales erunt:
Eadem ratione patebit fruſtum, 7RΩ6, æquari figuræ, S& ΣΤ, er-
go fruſta, QΦR, 7RΩ6, ſimul ſumpta æquabuntur figuræ, Τ5βΔΣ,
ſed & figuram, 76D, ipſi, EST, adæquari, necnon, ΦΚΩ, ipſi, ΔL
22Ex antec.
Lem. Σ, pariter adęquari manifeſtum eſt, cum ſint figuræ æqualiter ana-
logæ, & portiones parallelarum ipſi, GM, in eiſdem conceptarũ
integræ ſint, ergo tota figura, DQK, toti, ΕβL, æqualis erit. Cõ-
ſimili modo in figura, BHIC, ducentes rectas lineas ipſi, GM, pa-
rallelas, nempè, O2, P3, quibusipſa diſtinguatur in fruſta, capien-
tia dictas parallelarum portiones integras ſcilicet in fruſta, BON,
CN2, PH4, 4I3, OP32, PH4, 4I3, eaſdem, O2, P3, producentes
vt ſecent ambitum figuræ, EYL, velutin, T, X, ℟Υ, deſcriptiſq;
lineis, EV, ZL, vt fuit deſcripta, 5Γ& , vt conſtituatur figura@, ET
33Ex autec.
Lem. V, æqualiter analoga fruſto, CN2, (ex quo remanet, EVX, æqua-
liter analoga ipſi, BON,) & figura, Ζ℟L, ęqualiter analoga ipſi,
4I3. (ex quo, ZLY, remanet etiam æqualiter analoga ipſi, PH4,)
cum in his captę parallelarum dictæ portiones integræ ſint, mani-
feſtum erit fig. ETV, æquari ipſi, CN2, EVX, ipſi, BON, Ζ℟L,
ipſi, 4I3, ZLY, ipſi, PH4, & tandem, ΧΤ℟Υ, ipſi, OP32, ex quo
concludemus figuram, BHIC, æquari ipſi, EYL, hoc eſt ipſi, ΕβL,
ſed eidem,, ΕβL, oſtenſa eſt æqualis etiam, DQK, ergo figuræ, B
HIC, DQK, inter ſe æquales erunt, igitur quæcumq; planæ figu-
ræ æqualiter analogæ inter ſe æquales erunt, quod oſtendendum
erat. Per hæc autem priori parti Propoſ. 1. huius iam ſatisfactum
eſſe manifeſtum eſt.
contingere ſuppoſuimus in fruſtis, QΦR, 7R Ω6, ergo cum, QΦR,
11En antec.
Lem.5Δ& , ſint figuræ etiam æqualiter analogæ, inter ſe æquales erunt:
Eadem ratione patebit fruſtum, 7RΩ6, æquari figuræ, S& ΣΤ, er-
go fruſta, QΦR, 7RΩ6, ſimul ſumpta æquabuntur figuræ, Τ5βΔΣ,
ſed & figuram, 76D, ipſi, EST, adæquari, necnon, ΦΚΩ, ipſi, ΔL
22Ex antec.
Lem. Σ, pariter adęquari manifeſtum eſt, cum ſint figuræ æqualiter ana-
logæ, & portiones parallelarum ipſi, GM, in eiſdem conceptarũ
integræ ſint, ergo tota figura, DQK, toti, ΕβL, æqualis erit. Cõ-
ſimili modo in figura, BHIC, ducentes rectas lineas ipſi, GM, pa-
rallelas, nempè, O2, P3, quibusipſa diſtinguatur in fruſta, capien-
tia dictas parallelarum portiones integras ſcilicet in fruſta, BON,
CN2, PH4, 4I3, OP32, PH4, 4I3, eaſdem, O2, P3, producentes
vt ſecent ambitum figuræ, EYL, velutin, T, X, ℟Υ, deſcriptiſq;
lineis, EV, ZL, vt fuit deſcripta, 5Γ& , vt conſtituatur figura@, ET
33Ex autec.
Lem. V, æqualiter analoga fruſto, CN2, (ex quo remanet, EVX, æqua-
liter analoga ipſi, BON,) & figura, Ζ℟L, ęqualiter analoga ipſi,
4I3. (ex quo, ZLY, remanet etiam æqualiter analoga ipſi, PH4,)
cum in his captę parallelarum dictæ portiones integræ ſint, mani-
feſtum erit fig. ETV, æquari ipſi, CN2, EVX, ipſi, BON, Ζ℟L,
ipſi, 4I3, ZLY, ipſi, PH4, & tandem, ΧΤ℟Υ, ipſi, OP32, ex quo
concludemus figuram, BHIC, æquari ipſi, EYL, hoc eſt ipſi, ΕβL,
ſed eidem,, ΕβL, oſtenſa eſt æqualis etiam, DQK, ergo figuræ, B
HIC, DQK, inter ſe æquales erunt, igitur quæcumq; planæ figu-
ræ æqualiter analogæ inter ſe æquales erunt, quod oſtendendum
erat. Per hæc autem priori parti Propoſ. 1. huius iam ſatisfactum
eſſe manifeſtum eſt.