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# Title: LBr. 396 · Hermann
# Folio 126v, page id DE-611-HS-973581:0254
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-973581&page=254
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-973581/jpgs/default/00000254.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 330, 2026-09-10T23:07:43Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.82
# 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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tlnis
Gunde isc rse
In Be in angulo recto BAC accommodetur recta TB, aequalis
ipsi AB = AC, secundum situs quoscunque formabit concursu suorum vestigorum
rect curvam BVC, quam quaevis 7D tanget Qvaeritur curva BY C
AB = TB = AC, vocetur C. ex ex et ex V puncto curvai normalem ducendo
ad AB, quae sit YZ, vocetur F  et AZ Z et YZ1V. quaeritur relabio inter Z et V
AB est Zt ZD et AD_ = H(V CZV. Hov- ZDqu), et fiet
yque + 2Z2B , Z8ju = cC Eoqu : vr - RZDqu
AD vocetur L. erit   AcC- H) FZ vocetur q, et TV, , = ((99 + V1)
erit f 9954 = 99. + vv F  jam g: V = +: + (CC- H), ubi C et constans, V simpla, sed
l
= et 9 geminis ita tamen ut sit dt = dq, fiet differentiando _(cc - HF) : t = v: g differentiand
sCcc - t) at - 24 dt (: ecc - +1)); = - vdg: 99 et (cC - tt + 2H) dt g9 = vdqH (cc - t)
seu C CC + H, qu dt = vEt NCcC = H) seu 49: Ht = B d (cC- H): cet Ht = vB:, cc- H
jam  t
et
seu cub dCc. H) = v (CC+ H) seu  cub (cc- H) = vn qu (cc +. H.
=. g = Z. Ergo + = Z19= jam t - v Z iam AT, + = 6AZZ + Z
E), ubi Z ut v motadicae
dt n 1: V   scc - LL)  4 +. H( Y Ca - tE) _, :, cc = H
fiet D - Z. seu + - Z = 9 et fint + - Z, : B = t: tCcC-
C constans, t gemina et siscab) (CC - tL) et EF cc H,
seu 1: V = CC:
:0 = + : ACc - Ht). seu HCc - H) = vt :t -Z
2jocc, seu t e = ZvcC:, 2) vcc = D
+ - 7
= Svcc seu
elemn
ce -H = Cscor, seu F  c: - cYCDn sut =2Z
ila habetur Z absoluto sed quia  inter Z et V les justitiae observur potest eodem hudo qu ( = 2vcC)
A
t - 7 =
seu Vt = ( nec - 2
pursus L(CC - H) = HCcD
habebitur valor  ipsius B, per
G et  siblutisque te irationalibus et ordopando debet esse
debet Z et N se habere eode ud
vel sit