## 335.COROLLARIVM.

BMCP, eſſe pariter, vt quadratum, BP, ad rectangulum ſub,
BP, PA, vna cum rectangulo ſub, PA, & ſub exceſſu, quo dupla,
EI, ſuperat, EF, cum, {2/3}, quadrati, BA. Et quoniam, iuncta, BM,
oſtenſum eſt omnia quadrata, HP, ad omnia quadrata trapezĳ, MB,
PC, eſſe vt quadratum, BP, adrectangulum, BPA, vna cum {1/3}, qua-
drati, AB, ideò eadem omnia quadrata, HP, ad reſiduum omnium
quadratorum figuræ, quæ eiſdem, MCPB, & curua, MB, contine-
tur, demptis ab ĳſdem omnibus quadratis trapezĳ, BMCP, erunt vt
idem quadratum, BP, ad rectangulum ſub, AP, & ſub exceſſu du-
pla, EI, ſuper, EF, vnacum, {2/3}, quadrati, BA.

_28. Lib. 2._

## 336.THEOREMA XVIII. PROPOS. XIX.

EXpoſita adhuc figura Propof. 15. & intra circulum, vel
ellipſim, MBEG, ducta, RV, vtcunq; regulę, DF,
parallela, diuidente ipſum circulum, vel ellipſim in duas vt-
cunque portiones, SMT, SET. Dico omnia quadrata
portionis, SMT, cumrectangulis bis ſub eadem portione,
SET, cum rectangulis bis ſub eadem portione, & ſub tri-
lineis, TGV, GEF, eſſe vt portio, SMT, ad portionem,
SET.

Quoniam . n. rectangula ſub portione, SMT, & parallelogram-
mo, HV, ad omnia quadrata, HV, ſunt vt portio, SMT, ad
parallelogrammum, HV, rectangula verò ſub, SMT, & paralle-
logrammo, HV, diuiduntur in rectangula ſub, SMT, & ſub, SM
T, ideſt in omnia quadrata, SMT, & in rectangula ſub, SMT, & ſub quadrilineis, HRSM, MTVN, ideſt bis ſub, SMT, & ſub
quadrilineo, MTVN; namcum, ME, ſit diameter, bifariam di-
uidit tum ordinatim applicatas in parallelogrammo, HF, tum in
circulo, vel ellipſi, MBEG, & ideò exceſſus earundem linearum
hinc inde relinquuntur æquales, vndein quadrilineis, HRSM, M
TVN, lineæ in eadem rectitudine ſumptæ ſunt æquales, ideò om-
nia quadrata portionis, SMT, & rectangula ſub eadem, & ſub qua-

### Note to user

Dear user,

In response to current developments in the web technology used by the Goobi viewer, the software no longer supports your browser.

Please use one of the following browsers to display this page correctly.

Thank you.