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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 76, page id 834940469:0160
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=160
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.89
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quorum cum plano secante communis incerlectio PIV erian
eulum; item de punctum X esse cenerum granicaris duorum
unctorum cruncorum, quorum cum plano lecance commun
nisinterlectio plp eriansulum: iunsatur recta XY, que bita-
riam sceorur in puncto 5: manifectum eA punctum s’erse cen
erum grauiraeis quaruoriunctorum eruncorum simul, quon
rum cum plano secance communis interlectio cs traperium
IV P Piarque punctum s centrum eciam est granicacisrecta
rum Z. 7377, simul: eodem modoprobarur a eNe Centrum
Grauitaeis quacuor iunctorum cruncorum simul, quorum cis
plano secante communis inter fectio eAt crapezium 1080, de
eriam rectarum om rZ, Cimul. Cenera gravicacis as iunsantue
recta, que bitariam secetur a recta lZ. in puncrossmanité
Aum elt 3 cenerum gravicaris polredri inscripri ene etiam
cenerum grauicaris recearum omnium simul arcui 9 inseri-
pearum: eodem modoprobacur centrum grauitaris polye
dri circum (eripti nemper idem esse cum centro grauicacis
omnium reccarum smul arcui gy circum (cripearum. Sit cen
erum granicacis porrionis Colidirocundi4, de cenerum gra-
nicacis arcus 9r, 23 quod necessario eAtin recca IL incer pun-
Cea X, 3; iunSANEUF reCCS 14, 24, 34. Exconttruecione L3 mi-
AOr eA quam 24: angulorum 1243 4233 licmaior vel saltem
non minor 124 de ideo latus r4 maius crie lacere 24, scd
24 maior eA quum s3; e proinde 14 maior cst quam F3: HOC
elt cencrum gravitatis porcionis solidi rotundi distac a cC
ero erauicaris polredei sibi circum scripei maiore inceruallo
quam cenerum grauitaris eiusdem polredri circum seripet
ditoe a cenrro gravitaeis smilis polyedri inscripei, quou
est absurdum, maiore enim inceruallo distanE Cenera grauI
earis polzedrorum inscripei a circum lcripei quam AisennE
centra gravieaeis porrionis lolidi rocundi ee polyedri cir-
cumscripei; de proinde nullo incerualo distanE CenerZ SFa
uicaris porcionis solidirocudi e arcus circularis oyu et idco
idem ele eorum senerum grauitaris, quod demonserare
oporruie.
D