# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/834940469:0037
# Permalink to this reading: https://leibnizlegible.com/page/834940469:0037?run=74
# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 29, page id 834940469:0037
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=37
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000037.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
# Lines: 32 recognised, mean confidence 0.92
# 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.

EpsIS ABP, ABFP analyiicaru addicione, subdictione, mulei-
olicatione, divisione sc radicu extractione coponi no porest;
e proinde ex hoc capire nulla porest exhiberiratio intereris
angulum ABP _ sectore ABIP, cum euidens Crillam nO C(
Se analyricam. Led dicet forte aliquis rationem inter triangu
lum ABP ee sectorem ABTP omnitariam variari posse; de
proinde posse esse inter se in ratione qualibet dara sive ana-
irtica siue etiam commenlurabili: relpondeo hoc ene re-
rismum. sed in hoc casu rario inter criangulum ABP Sctra
DexIUM ABFP non erit analytica; ee proinde ex datocir-
culoellipse vel hyperbolo nuquam dabitur in analyriciseri-
angulum ABP, quod ex praedictis clarissime pater etiam (I ex
Praedicto capiteron possimus comprehendere rarionem in-
ter criangulum ABP e lectorem ABTP, possumustamen cius
aliquam habere cognitionem, ex eo quod ICCOr ABIP (A
terminatio seriei convergentis dacxe; et ex hac considera-
tione possibile est invenire quancitarem date commensura-
Bilem cuius differentia à lectore ABIP minor fuerit quacu-
que quantitate propolita, ad hoc enim semper recurrendum
eA, cti de quancitacibus quibuscunque incommensurabili-
bustractane practici, de in hac nostra approximatione praxis
non eric operolior quam inmultis aliis eriam quanticarum
analsticare approximationibus, immo multo breuior, taci-
lior ee pararior erir illis Viera lectionibus angularibus, qua
tamen summae matheseos reilitoti in praxem reducuneur.
non video ergo quare circuli quadratura diutius aectimetur
ienorari; cum enim demostratum sc rarionem circuli ad
diamerri quadrarum non esse analrcicam, vanum cerrCerit
ee inepcum illam sicur talem imposterum quaerere: ac reien
etisquatiratibus analpricis, rix credo rilam polle essenocio
rem hisce rOStTArUI SCFICTIIM CONIErSENLIUMS TerIINAEIO
nibus, sicue ex seguencibus plenistime apparebii