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# Title: LBr. 57, 2 · Bernoulli, Joh.
# Folio 171r, page id DE-611-HS-3653099:0341
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 172v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-3653099&page=341
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.93
# 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.

ues
a simplissime atque Celeberrime
Fautor Honoratistime
se nunc liberatum a prajudicio illo quo me lapsum putattio circa motum re
peatea valdetator, sed magis adhuc quod quae hine meditatus fui de curoit
multigibbis pro approsinguatione ad curvur ellipticas per circulares legisse te
non poenituent; nihil enim magis ia botis habeo quama aliquid Tuo attea
tione dignum praettare possia. Rectisse interim cogitatii methodum Nam
appropiaquandi per ciculum ad curvam ellipseos applicari etiam posse lineae
rectae, sed pro hoc ideo non opus eit linea esticy cloivali qua pro calculo nimis
esset composita qualibet alia linea reclificabilis huic fini inservire potect,
etsi ellipseos formon non habeat; (hai de causa jam in praecedentibu meis
(nam tum de hac re jam cogitaveram) scripsi, methodum meam non tantum
ad ellipses sed ad omnes curvat omrino extendi: ) sit enim BA auus curva
agircunque et gr. parabola; adjun
gater ad Bversus partem alteram
arcus alius prior per omnia sonilis
et aequalis BD, itaquideu ut in B
(quanquam nec hoc obsolute sit re
cestarium) habeant comunem tan
gentem, hoc eit, ut fament curva
Luiam contiuan: Jam duobus inis
arcubus BA, 6D, adaptentur duoalii
prorsus similes et aequales EA, ED; ut hinc orcatur figura clausa ellipsi
fanis BAED, cujus tota circumferentia aequatur orcui et quater sumto,
neqiobstati quod en A et D arcus en angulos coeant non vero ut in B et E
abeant in curvam continuam; am si huic figurae BACD, alia pertotum
congruens PZM admoveatu, et altera alteran obrepat ut feci in elti
psi, describet punctum O curvam quam piam quadiigibbam qua erit arcus BA
octupla, hac quadrigibba portea mutebitur in ocligibbam et ita povro;
fateor equidem curvas itas multigibbas non este uniformis naturae, ut sunt
illae quae generantur ex ellipsibus, constant enim ex auubus diversis, quita
nea in contiruam ubique, abeunt curvitatem, et hoc jam sufficit pro approxi
apparet
matiore ad corcntutu vides itags geomrdo nane pacatore aauus es qua al eo
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