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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 10, page id 834940469:0094
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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 0.88
# 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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rectangulum B 
est aequale mixcilineo DH3 2i d idcoper.
mucando, ur P3 ad mixcilineum ita R5 ad k Z, cumque P3
Sic maior mixcilineo, erie R3 moior quam eFF: eadem me-
chodo demonstracur S +rectangulum ese maius quam e
e Tdmaius quam a; es ergoreccilineum RESA TusE ma-
iusreccilineo smo 2 Z 58a8. Fodem modo ur N3 ad X Ccu
X8 ica 532d95 (eu ∞ F. e permucando, veN 3 ad53 ica
X  ad o. X hoc estur 13 ad 23 ita BX leu mixcilineum PN
32 dd =F3 de permurando ut 1 ad mixcilincum P N 32 ItD
V3 del F.23 Ccd Q3cAminus mintilineo, de ideo 75 cA minus
quam FX; eodem modo demonstratur 4 eseminus quam
noo, ec nd minus quam ea: ex ideo reccilincum ySDInVdZ
minus estreccilineo Formp  est AR; e proinde amboreccili.
nea sit _ s 2 2 SB a F. F ei WD H ∞58 A 8 consictune inter
duo rectilinca HESA TudZ, SDEnVd hoc est maius priorum
rectilineorum minus estmaiore lecundorum, et minus prio-
rum maiusminore secundorum; sed mixcitineum t o H St
aE conastie inter duopriora; e ideo consictie criam incCE
duo posteriora nempeRZSn Tud2 rSOTnVd2 sedmixa
cilineum RST V S2 conlictit criam incer haec reccilinca, ee
proinde maior cs differencia reccilineorum RES X Y ud2.
2SOTn Vs quam mixrilineorum R SIV 82, it a _ SL a 8;
led erposicione differeneis rectilineorum cst minor quam ad
de proinde differencia mixcilineorum est muleo minor quam
aen quod est abCurdum, ponitur enim aequalis; non isitur
differune mixcilinea RS I V 82, iit o Z st a 4, scd aequalia
lune, quod demonstrare oporeuit.
Secundo nos eandem aequalicarem demonstrabimus in
primis figuris, rbi supponimus curram RV in prooresti ab
R ad V rectam 28 semper magis appropinquare, ec econo
era curram7 D inproorenu a7 ad l ab eadem recramosis
elonsari; e ideo currs z sin proerestu a st adst eomagis
elonsatur a recta R a, quonium eodem modo elonsatur
curra ts ArCCTA R a, quo curra7 B d reCFa 28. Siprae di
Et 2