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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 260, page id 1815201908:0317
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oroll. 30.
28. decir
15
331. decir
 L. L LL 5+5
Corollarium.
DRopolitiones 29. d 30. eriam in circulo sunc verx, quamuis aucè laepius conciteae
vequae hoc libro de cllipsi dentontramus locum etiam habeane in circulo, circu-
licamcumentionem nocaclo hillad lequences demonstraciones assumi debeat.
EROPOSITIO XXXI.
Adem manence Rgura provolirum (t à daco
sexera lectionem puncto D. tansenrem du-
Constructio ex demonstratio.
Catur ex D diameret DB C, AaEquO ve CD ad
OB, SIC CB ad BB, _ Per F ad BC, ordinacim
PONACUE AF, IUnSANEUFqUE AD, PaTEE PET PrXCCI
denrem AD lineam sectionem in A contingere; igitur d
daco exrra ellipum puncto, ec. Ouod cractaciendum.
P R OPOSITIO XXXII
lipsm AB C cujus diameret e C. contingat recta BD in B, conue.
miens cum diamerro in D: et lLB ducarur B F. ordinarim ad diame
DiCOFE, FA, FD lincas CM In contInUATaTIONC: _E SI FE, FA, FD
tuerine continux preporrionales, e per E. Ordinatim recTA aBAtUE E. B,
dico innictam b Blecrionem conringere. F. A Apollonis.
Demonstratio.
tuine
cerc.
ad diamerrum AC occurrens circuloin Cr:. duca-
curquerelta CD. quoniam EB recta Ponicuror-
dinacim ad diametrum A C. e per B acta tangenS
ad D A SiICC F. At L. R: elt alcem iM cHtCMIO, recL
Enero F incetuallo P A circulus deseriBATuE
AGC, cum ex L Pusscto Hoa educacuE
convenir cum eadem diamerro in D, Crit 2 VE CI)
trum AC: centrum aucem sectionis (IEP.
runc LP, F A, F uca Comma Ploporcionales
Cuncdurem exdem linex communes cllipu; igicul
ex in clPCtACF P, F A, FD in corinua analogia.
Duod  FF. LA, F D concinux proporrionales
Cinc, ae per L. aucacut ordinarim L B, dico iunetam
D recta DR concuigens ellipuim in R, _C CX Rol
dinarim Ponacur RHI; isicur per primam parrem
huius FI ad F A, VE F A ad F D. Ced cciam exhy-
E. C normalis ad diamerrum R C, isicur ec b recta
OD circulum ComM C. Guate M Chclocc.
BD ellipum concinsere in B. lin vero: ducacur ex
Ocelis FF eA ad F A, vEF A al F (. CrBOF P CA ad F A, VEF II est ad F A, quod
Bens, eB. CQuodturdeandum
herinon pocelt, cum PPIlichtator auor quam F R. rndc D R. non cstconcin-
PR C
   pt  toes tet ute ete ee e e   ete te t u eu pe pete s sti pute te  tit tite es este t e se se et e te e  se  p  t s u ete eti  e    l et u s e t  t  e s  Ate p