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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 125, page id 1815201908:0182
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CF.2L aLC A.
nam magnitudinem. (s
Ecuris sic positis terminum
quidem ad quem bases illa-
rum ficurarum excurrent
scilicet L, per praecedentia
reperremus; in heterozenea
vero illius seriei (ita enim
lubet appellare) quam figu-
rae similes similiterq; ex ex-
era se positae componunt,
coentionem non veniemus,
nisi ficuras has similes simi-
literque extra se positas, ad
illas revocando, quarum
primacum secunda, e se- 
cunda cum tertia, ex sic de-
inceps vnam aliquam maenitudinem constituit. Ve si exempli eratia sint ficura A B,
BC, CD e similes similiterque ex extra se invicem posicae; harum termini in infi-
nitum continuataru sumpti maenitudinem non vnam aliquam, sed acereeatum quod-
dam ficurarum constituent: siicitur maenitudo huic seriei ficurarum aequalis quaeratur,
oportebi ficuras similes AB, BC, CD, DE, C∞ C. ad ficuras MI N, NO, OP.
ec revocare. quae figura W N, NO, OP magnuudinem unam constituunt; 53 si
proporrio MI N ad NO, e NO ad OP continuata terminetur in R: erit MIR
tori seriei proeressionis fieurarum AB, BC. e c. aequalis; quae omnia sequenti propositio-
ne demonstrata fient clariora.
eROPOSIT1O CLAIII.
Acaleitur lic lecunal generisprooressio AB, BC, CD, L, aC.
conslata ex similibus cerminis similicerq; e in directum poliris, (1-
uc planis, sive Colidis, e quidem planis vel Colidis cuiuscum que generis.
Dico omnes prooressionum proprietates luperiori parre demonstratas
huiulmodi ctiam proeressionibus convenire, ac proinde propolitiones, in
quibus illa propriccates demonstrantur, prorlus rniverlales esse: in hac
Sicur demonstratione, progressio posterior hucheterogenea, reducieur
apriorem CiuchOogenCam.
eni
ositio
plare
dina
ect
r4
niti
TuI
CHit
etius
pant
20n.