# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/834940469:0082
# Permalink to this reading: https://leibnizlegible.com/page/834940469:0082?run=74
# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio - , page id 834940469:0082
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=82
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000082.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 27 lines, status machine
# Lines: 27 recognised, mean confidence 0.96
# 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.

longieudine; cerria, quod, posita una perpendiculariun
seu ordinatim applicararum loco onitaris, et religuis loco
numerorum, intercepca recta in DP seu cur vae asemptota
inter unitarem e numerum semper sit logorithmus numeri,
c. 5. posita CO 2nitare (et C Gi binario, item C B ternario,
CTI quaternario, ec; erit OG locorithmus binarii,
OB ternarii, OEI quaternarii, ec. Si describatur haec
curua exacte in plano solido, non solum eius ope cum recu-
la et circino invenientur inter datas duas rectas quoicun-
que mediae proportionales; sed omnia problemata imacina-
bilia de rationum composirione etiam facile perfici possunt;
sed haec, quoniam facilia sune, consulto omitto, lectorem in-
cerim admonens spatium, contentum a portione praedictae
curuae, sua asempeota ex duabus ordinatim applicatis, non
habere rationem analyricam ad rectansulum illi inscripeum,
sicut demonstrari posset secundum tenorem prop. II. praedicti
tractaruli.
Elae operationes non existimari debent ageometricae, quo-
niam sola ope regulae e7 circininon perficiuntur, sicut op-
rime observat subcilissimus Mlathematicus D. Carolus Re-
naldinius in geometra suo promoto, dum tractat de nouis il-
lis lineis, quas Mediceas appellat; quod ut clarius frat,
hic conabor ostendere nullam vel aequarionem cubicam posse
resolvi ope solius regula ex circini: omnis aequatio cubica
habet vel onam solam 2 et tres radices reales, quae si in-
venirentur ope solius recula er circini, seu intersectione cir-
culi ex lineae rectae, linea recta circulum secaret vel in uno