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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 49, page id 834940469:0133
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=133
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.86
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
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# After the first blank line: the recognised lines in reading order, one per line.

103
pa
1S
12
recta KP; _ planum A B in reCtAMN: dc a puncto quolibee
rectEIxnempeL, ducatur eidem IK perpendiculare plans
OLP, Secans plana TKMN, DFC, normaliter in recris OL, P.
P;licque perpendicularis in L. P recta OP. Supponimus hicKE
Telle axemroracionis; e receam P L. illi normalem, appella-
musradium rocationis. dicoeruncum cxlindrici R DDC eNC
ad TOlidUm rOLUNAUM OTEUM exPOEatiONE ASUREDF FC cir
Ca IK axem rocationis, ve OP alcicudo cxlindrici ad circum-
ferenciam circulis cuius lemidiamerer est radius rocacionis
L. P. perb2Tem DE FC ducarur rbiliber recca F L, a Ba(cos
circumterencia verinque terminata in L _ F, quae producca,
axirocationis normalirer incidat in punceo V: 2 punccis FF,
excirentur perpendiculares baseos plano F: HI, FC, a plano
Secante terminacae in EI de C, qua necelsario sune in Cupert-
eie trunci ob cxlindricum rectum, ducacurque VFI recEa=
qua necessario existic in IK M N plano secance: manifectum
eA criangulo OLP, IIEV, rectangula adP e F. (cum habeuc
angulosOLP, HEV, aequales inclinationi plani secanris IK
MN) ese similia; ee ducca recta C, V, ob candem racionem
similia lunc erianoula HIEV, CFV, cumque CF Sc parallella
rCCEK HIE, _ FF in direcrUm F V; CoinCIdENERCCEX CIV, IIVS
in unam rectam plani IEMN; cricqueCFIF Fcommunisin-
certectio plani CF.V, planoOP L. parallellis cum truncoci
lindriciRDDC: pacet ereoOP ad PL. eNe, veHIF ad FV; de
ideore OP ad circumferentiam circuli cuius lemidiameterP
L, ica HTF ad circumterentiam circuli cuius semidiamerer L
V; _e re OP ad circumterentiam circuli cuius lemidiameter
PLdica (reliquos cerminos in eandem alcicudinem, nempe
lemislem reccae FV, ducendo) criangulum HI F. V ad circu
lum cuius Pemidiamerer P V: eodem modo demonstratur
elles re Ol ad circumterenciam circuli, cuius lemidiamerer
PL, ita criangulum CF. V ad circulum, cuius lemidiamerer F
V: est isitur cocum rrionsulum C FV ad eorum circulum
cujus semidiamerer F.V, ica ablacum erian gulum IIL. V ac
abl2-