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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1018, page id 1815201908:1075
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1075
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 recognised, mean confidence 0.84
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

1018
Sicur uta dem habens diamerro balcos parelus Cis Moru.
cro, liucprua riz a ueno, CeterGuratcerun VirgUta, IAMMHIIII
cer sphara cul luo or oeuaas spharam ambiens elt tel-
quialcer sphaera.
V1
Ouemacou moes pals adocum aoruerum e cpiica
caracione lacerum diamerro x quidistancium: ica etiam concinsie in par-
cibus inuolueri (phaerici, li ad eorum involuerum conteras parres inuolu.
cri, qua insictane lineis axi parallelis.
I
quacur prramidi, cuius balis par est curuxe luperficiei vnoule, alcieudo au-
tem lemidiameter, ita d sphaera equalis est cono, cuius basis est par super-
ficiei Sohaerica, alcicudo aurem Lemidiamerer sphaera.
+1IV
Sicuri leomenco ongulari quod plano per cylinari axem ducto decussa-
cur equalis est prramis balim habens aequalem curue superkiciei seomen-
ei vngularis, alticudinem vero parem lemidiamerro: ita etiam spharice
portioni aqualis est conus balim habens xqualem superticiei sphericae
porcionis, alcicudinem vero semidiametrum sphaere.
1X.
Ouemadmodum ungula maxima pyramidis sibi in scripre dupla est, ita
e hemispherium coni maximi sibi inscripei, duplum cA.
Secundo circa rationem superficierum.
N CVLA DLLIADKTCA.
Ouemauo a alclmmadens ansameo paca
R I M A
Placeralibus criangulis, equales lunt rectangulo quod tir luper diame-
ero circuli quibasis elt rngule, et alcera linea que equacur alcicudini vn-
Sule. Ira quoque superticies conice ex cuin lcunque polygoni circum seri-
Pei sphere circumuolurione producte dempris lateralibus equales (UnEre-
ctangulo quod heret Cuper diamerro e linea que rori perimetro circuli
maximi estaqualis.
11
Ouemadmocume Mus Polssoni, alcerius polrgom hedriscirca
candem ingulam constructis, exelusis laceralibus criangulis, incer se x.
quales existumr: ita quoque licirca sphaeras duas aequales diverla polvgo-
na ex opratione formata conicas superticies produxerine, crunt luperticies
vnius, alcerius Luperficiebus aequales dempris laceralibus.
A dre cuiuluis polygoni cingentes ongulam si simul Cumatur seclusIS
Sicut ex divisione diametri ungularis sub quauis ratione, supertcies
veulaleo plaluo lccelcepla ila Holllaluet de clalilelcuca pet plcala
diuisionum ducuncur sele habene le cundum rationes in diameero factas:
ica