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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
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M A Y E R I A R V M.
Idem est si trianeula illa subalterne ponantur; secundum primo; es quarcum ceritd.
Pal 13. Pr. 13.
um evemet srrapezia in eadem altitudine consticuta, bases habeant proporcionales,
Elatera quae bastons opponuntur ij sque parallela eandem cum basibus servent ra-
A R S SF C V ND A
Supersicies contemplatur, ( communes intersectiones natas ex
duetu plani circularis in rectilineum. Deinde corpo-
ra sic producta exhibet.
TEmicirculus ductus in rectanculum eiusdem alticudinis superficiem producit cylin-
dricam.
Semicirculus ductus in se, superficies duas producit cylondricas, quarum communis in-
tersectio est ellipsis.
Idem est si sermicireulo adijciatur rectanculum eiusdem alticudinis.
Sencrculo rectangulum circumseriptum, ficuram concauam cum semicirculo facients
ductum in torum rectanculum; corpus producet habens superficiem concauam, e
extimas tres planas.
718. fr. 18.
Ficura concana orta ex rectaneulo circum scripto ipse semicireulo ducta in se duas super-
ficies cylindricas producit, quarum communis intersectio est ellipsis. 719. pr. 19.
Eadem ficura ducta insemicirculum cui coneruit, producit superficiem cylindricam.
719. pr. 20.
Semicireull duo aequales serancentes sic t toti extra se inuicem cadant, duiti in se in-
uicem, supersicres producunt eylondricas quarum communis intersectio ellipsis. 720.
pr. 21.
Ostendiur differentia corporis orri ex ductusemicireuli in se ex corporis orei ex semicir-
culo ducto in semicirculum aequalem, quem tansit es extra quem cadit. 720. in
Schol.
Circuli duo aequales se excerius cangences, in se ducti supersicies producunt exlindricas.
72I. pr. 22.
Et harum communis intersectio est ellipsis.
Exponitur quid sermenta circulorum ducta in reliquum circuli, aut in se ipsa producannt.
Item quid superficies concaua interiacentes inter tansentem es circulum, ductae in
722. Pr. 23. 2 )que 30.
CA23 LL.LLL1L.
FIOBEM.
reliquum circuli.
3. Pr. 14.
716. pr. 15.
717. pr. 16.
717. pr. 17.
L2. In Schol.
Mllibe saabbo Qcoaiscluores pesooo eod edlolo etbo
quibus corpora inter se comparanto
Rianculis ex freuris quadrilateris scot a sset ot qua fet set pa Matores
sint dimidio firura nsctibuntur.
26. pr. 32. ∞Gab 3).
Itemfreuris quae lineis rectis anculum rectum continentibus, es linea curua terminan-
cu AE tese a ttto sot      d toi
et atsta