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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 678, page id 1815201908:0735
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=735
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine
# Lines: 48 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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# After the first blank line: the recognised lines in reading order, one per line.

SDTLAL+S.
abeodeit
Archimedis 19. cummant est 08. parabola applcat
TG spiralem ex Secundareuolu-
LAcione orram in cermino (C) ce-
cigerie rectalinca, de a principio lpi-
ra (A) ducacur aliqua ad angulosre.
etoslincxe, qua sic inicium reuolu-
cionis: ipsa concider in tangentem,
_ cric recta media, incer cangenrem
ee principium spira (recta nempe
A5) dupla circumferencia secundi
circuli.
Hloc iplum modo demonstrandu
clt. quodsispiralem ex quacunque
circumuolutionenatam tangac que
dam recta incerminospira, cum ab
iniclo spiralis ducatur linea recta ad
principium reuolurionis, cadet in
tangentem, cocuplexq erie circum
ferenciae circuli, quocus est numerus
reuolurionis denominatus ab eodem
numero.
APPLICATIO PARABOLE.
Aea sir spiralis quocuis renolu-
cionum ee parabola, ABL. P,
cujusaxis sC Aa, cangenS A L, ex qua
Cume cor aequales parres AB, BC
CD, DE quor reuolurionibus daca
Epiralo onicu ee ex punctis B, C.
E ducancuelliametri (ccantes pa
rabolam in B, LL, L, P, iungancurque
AB, AFI, AL, AP, qua producan
cur in HI, L, l. Cacerisitur ex propo
Cicionibus prinns, pralercim ex q. hu-
ius, sinsula legmenca parabolica
reterune. Aalsdemum L, Guoans Cn au A L produccus ertribecli-
ALMFI Singula ordine spiralia spacia; Singulas vero re
HTR
ABF, AF
Etas BGP
BP Cinoulas quoque ordine luo peripherias
BOB, EIRL, L. NL, PBP per omnia reprx sentare. Deinde punctam A
principium lpitas plera rero B, LB L, L, unos spirarum B, C, D, P.
neam quae a principio spirae ad AE. normalis ducieur.
Dico isirur  letereno leculcul
spacium
q     s   s  te ete te te e t   te  t   t    e te  e ta  et  t eta e a    o a e t e t t  ete  te t    e  e        u  s i lse