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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 57, page id 834940469:0141
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=141
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000141.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 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.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

id
1b
SUEX XXZ CIrCAAXEM VS in PaTIOnC COMPOHCA; ex PFOPOP
aione superhicici erunei inferioris z4 C D ad superhiciemeru.
ei inferioris 567YXZ et ex proportione radiiroracionis L L
ad radium rocacionis Te, quod demonstrandum erat.
Hoc Theorema criam locum habet eodemquemodo de:
monstratur in superEciebus rocundis genicis a rotatione li-
rea rellinearum quarumcunque fcuram non comprehen-
P RO P, 29. Z HI P O R F M A.
Si super qualibet Reura circa axem intellicatur cylindricus rectus.
ita sectus a plano in duostruncos, ut planum per oppositarum cy
Vindrici basium axes ductuna, si at plano secanti normale: truncIs
onus erit adrruncum alterum reciproce, ut partes radii rotatio
nis resecta a centro eravitatis figura.
Vper qualibet AGUFA L RM circA axem R N sic cylindri-
 CUS reCtUS ABDMLK SectUS IM ErUNCOS ABDZY2, Z.Y2
HLM, a plonOF TV C ad planum ACNK, per oppoliearum
eylindrici balium axes AC, IEN, ductum, normali: LinEP, O5
cenera gravicacis balium oppolitarum, quae iunsancur rect a
PO. Producatur planum (ccansi donec axes AC, REN ((I OpuS
eAt) productosincersecer in punctis F, S; de in eoldem axes
(A OpuS est) produaos sine perpendiculares FI, S C; mani
Fectum eA FIS Gese parallellogrammum rectangulum, icem
Fi esse exlindrici alcicudinem, ee IS rocationis radium, quip.
pead incerlectionem plani secaneis se ba (eos L K MI nempC
rectam TV cA perpendicularis, quoniam ducitur in plano F
ESt, quod verique plano ec secanti e ba(cOS L. R. MI elt nOr.
Male. DICO ErUNCUm ABDZ YZ eNC ad cruncum 2YY
MFK rereciproce 10 ad O5. amediis punctis rectarum
FI, 9S, ReMDC EI, R, ducanEuF rectX HS, RF, RCCNOM
LTR secanS OP in X; erune icaque incer sC ParaIICIA de
aqua-
dencium.