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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1185, page id 1815201908:1242
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eY ADRATVRA CTRCYLI
Constructio e5 demonstratio.
R Elumamus itaque ad hoc prestateum siguram vniversalem propoltion. 8. +. quod
estfundamencum eur specularionis huius cardo innicitur. extribica icaque est rario
corporis ex AF aC Plano in le ducto ad corpus ex plano C. F nae in le ducto relultans;
cum a veraque ad corpus quod alcitudinem certam habet ee bales nocas reducta linc:
praecerea extribita est proporcio incer corpora producta ex superficie C For in le huius.
ec
ducta, ee solidum ex ductu superticiei AP PC in sciplam, cum hac criam ad corpora
6
reducta sineb que precer alcicudinem baleshabene vocas. Pgicur exhibica est propor- B Per 97.
eioincerhas duasraciones, hoc est incer rarionem corporis quod sic ex ductu plani huius.
AF aC in (c. ad corpus quod oritur ex ductu plani CLina in lc, d incer rationem
quam habet solidum ex ductu plani C For in (c, ad Colidum ex ductu plani AP F C
in sciplum. Verum criam cdemonctracum cA eandem ese proportionem incer rario- c Pergo.
nes corporum qua signuntur ex ductu subalterno carundem figurarum, hoc est incex huius.
racionem corporis ex ductu plani AFaC in planum AF. B, ad corpus explano para-
bolico C Fna in planum parabolicum CFZ, de rationem corporis quod Oritur ex
ductu plani C FoF in planum C F c, ad corpus quod hc ex ductu superticiei A F FE
in AF. D~ cum proportione qua cs inter rationes corporum quae huine ex ijIdem A-
suris ductis in (c. quare cum proportio quae cA incer raciones corporum genicorum
ex Rouris illis in le duccis, noca quoque eric proporcio quam incer le habent raciones
1
corporum quxe hunc ex subalcerno carundem fisurarum ductu. Igitur cum dhaec vlci. 100. 101
8
maforpora reducta quoque sint ad solidas magnicudines, quarum bases habenc cir. huius.
culdres Aguras, ex vnam candemque communem omnibus alcicudinem, cademrepe-
riecur ratio incerhxec corpora quae incer bales eorum exicter, aequeica ratio circuli
d rectilineum reducta eric, prourplenins ex qua dracura quarea dehuc incellisecur.
     .  1 1 1.    t         a  .      .  e t  u          ute       u    1  . e    . 1  1 1