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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 776, page id 1815201908:0833
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YCErS PLANI
ROeOSIEIO CVI
de DOsitis AO, C P ducancurrangentes in A et C.
Dico OIplanum ductum in planum L. MI xquari PL plano ducto
Demonstraiio.
in le.
ocensae sunt proportionales aOF, TG, GFI. igitur cum O C, diferentix xqua-
Iis sc HTF recta quoque OI, GO id eAt bOL, IP id est OR proporrionales
broeress. LUnE: led eciaM CUM MR Sic aequaliS ipS TL, rectae OT, CTP., I M concinux lunt.
ibid. quare OEplanum ductum in P. M d equale YC. ducto in sc. Duod Fuir demonstran.
A45. huius. dum. 115
siloqrc
LWWSAIHAL ELPRIOPOSETIO CVIII.
IIdem Posris: c
Dico CO planum ductum in se xguuri plano OL ducto in LP.
Demonstratio.
89. parab. Y Inex c TO, TG, GTT sine in proportione concinua et OC difterentie aequalis sie
qDepro. L YP. Ergoetiam OL, OC IP Elunc in proporrione concinua. Frso O Pim
eressionibus
EAs. hums. F P ductum aequarur CO ducto in (c.
PR. O P OSITIO CIZ.
InE ABC, BCD parabola xquales e similes ad eundem axem BC
lubalcerne Policae, actisq per B e C. tangentibus, perticiatur rectan-
gulum P F duCantuEque reCtX AB, CD.
Dico FTI planum duccum in planum L. MI ad GHI, ductUM in MN
eandem obrinere rationem quam LIK ducrum in H. M habet ad CH
duccum in (c.
89. De
erab.
EX9. C
Demon