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# Title: LBr. 57, 1 · Bernoulli, Joh.
# Folio 38v, page id DE-611-HS-958803:0078
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 37r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-958803&page=78
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-958803/jpgs/default/00000078.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 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.
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# After the first blank line: the recognised lines in reading order, one per line.

forum quui in unum conlenunt; si possent in problemate quodum ex. gr. sepiu
culi curvam quandam certa ratiohe tangere, qui tamen in certo caru omnes sex in
unum conlescerent; anne ideo contatusina centendus escet concuitus duodeuum in
tersectionum unius f circuli vel concurcus duodecim radicum absorum utique hoc
foret, poscet eain circulus hac ratione quatulibet curvam senare in tot panclis quot
liberet. Ego osculum sic concistio. erto culva quaedam ABCDE. ex cujuo punito
quopiam C indefinita duita intelligatur perpendicularis CG,
centro alicubi G sutalo satii a C dcclaate deseritatumr circulus
BCD, qui aliqe simpliciter tangit culam it C et aliti adtum
bis secat curvet in bet D; intelligatur num centrum G paus
lalim moveri versus punctum C imobile, quo fiet, ut eliam
duae intersectiones B, D magis auedant adidet punitum
donec tandem alterutum eorua Bvel D (utrumque esi
C
nub in possibile ert, niri forron parles curoae CB, CD sint similes, id eit. si pun
clu C sit verlex sumus) coincidat cum punclo contactus C; hoc catu duo
GC este radium circuli osculatoris BCD; manifertum autem ert, hocae modo
osculum esse concurcum triumtantum interseitionum, nimirum contaitus sim
plet C qui aequivalet duabus intersectionibus coincidit cur tert: à intersectione
B vel D; et quia La inter sectiones onnes semper in eovem irculo considerant,
ubicunque exillat centrum G. erit ojuilum revera concurtus tium et non plu
rum raduum. Niti candorea meum et ingenuitatem ut ipte fateris sat
satis compertam haberes, subdubitarem sane at non aegre tuleris, quod fe
cerim quardam objertianculas vel potius difficultates contra specimen Tuum de
patiulita; itylus enim quo uteris ad sententiam mata defendendam solito
pervosior vedetur: mihi sane nunquam persuat Jetom persunitorie in ila
tuendis Lujusmodi versari; sed Si non satii meditatus sum quascripierat, si qus
Tudicavi paulo feciinantius, condonabis; quae enim disi non minui mature tu
perpenca exirtimeveram; interim persuatum e velim, nullam contradicendi
libidinem sed merum veritatis amireta me eo iapuliste: Et cradas ejtismodi
pruritum qui omnibus philosophahis comunis eit, quia quod aliud agant non hab
ab indole mea longe esse alienum: Patere ergo, ut scrupulum diicendi gratia
proponum quem in responsione Tua reperio; Dicis duo corpor A et B, quae sint
mole ut ier4 celeritate vero ut 2 et i, aequaliter in meduut unfornite elari
cum perehare, seu vim suon conrumerel aequali elattrocum numero depresso:
Supponamus autem corpora A et B aequalia, sed celeritatilus moveriut 2 et 1
secundum opinionem Tuam corpus Aquadru plo altius penetrabit it medium
quam corpus B; videor autem tnihi sosse demonitrare profunditates corporum
aequalium in medio uniformiter elartico peraitas esse in ratione subduplicata
nba vero duplicata celeritatum: sit eti i corpur A, quod penehet in medium
AB uni tamiter clarticum id eit cujus quodlibet punitum C aequuli elacho sit praeditur
adeoque