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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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ii
F L B N C H V 5
eramma inscribuneur quae maiora sint simul sumpra dimidio freurae cut inseribun
tur.
pas. 730. pr. 36. 2 sque 41..
Inscribuntur eiusmodimincilineis concauis aut convexis rectansula aequalem habeniia
alticudinem, et residuum ex ficura mixcilinea auferant quovis dato minus. 733.
pr. 40.
Corporibus quae oriuntur ex ductu concauarum superficierum in seipsas, auc in se subal-
terne positas, inscribuntur paralle lepipeda communem habentia alticudinem, quae ab
illis corporibus ablata relinquant residuum quovis dato minus. 733. pr. 41. 25
que 44.
Si cria plana qualiacum que eandem habeant altitudinem, linea vero parallelae per il-
la plana ductae eam habeant proprietatem, vi semper sint tres continue proporiiona-
les, erit corpus ortum ex ductu primi plans in tertium aequale ei quod oritur ex secun-
doducto in scipsum.
738 pr. 45.
Et si quatuor plana fuerint in eadem alticudine, linea vero parallelae sint proportiona
les, elit corpus ortum ex an tu primi plani in quartum aequale ei quo d oritur ex du-
P A R S Q V A R Y A.
740. pr. 46.
Compataur corporaotia ex ductu rectilinei inrectilineum, cum cor-
poribus ortis ex ductu partium circuliin se vel in alias circulares.
Emicirculus ductus in se aequale prosert corpus et quod profertur à rectaneulo
Manculo in se ao subalterne, cujus latera anculum rectum continentia a
742. pr. 47.
Superficies conaua inteta inter quadrantem circulies duas tancentes quadran-
tem includentes ducta in semtcirculum es in illam ipsam superficiem ditis tancen
tibus contentam, equale prosere corpus illi quod sit à vrianculo rect aneulo in se du
Eto, cuus latera anculum rectum continentia, sint ipsa rancentes. 7 12. pr. 48. 49.
Varia corpora ortd en partibus circuli ductis in alias parces circulorum, aut ductis in
Seipsas reducuntur ad corpord orea ex ductu treanculorum aut rectangulorum in se-
P ARS QVINT A.
Ariae aequationes ex propoiones solidorum quae sienuntur ex dultu parcium cir-
cularium cauarum an convexarum, in alias circulares cauas, convexas, es c.
Etu secundiin tertium.
qualia sint diametro circul.
74,. a pr. 50. Vsque 57.
749. a pr. 58. 2 9ue 66.
 LS SF XT A
Ampliorem continet comparationem corporum productorum ex ductu
plani circularis in circulare. Cam ijs qua oriuntur ex ductu circula-
rium partium pricas parabolicas, hyperbolicas.
Spenaneur dua parcescellipsis, quae in se auctae corpus proseruns aquale illi, quod
oritur ex ductu semicirculi in se.
341do
Ali
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