# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068032:0035
# Permalink to this reading: https://leibnizlegible.com/page/00068032:0035?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 14
# Folio 18r, page id 00068032:0035
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 19v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068032&page=35
# Source image: https://digitale-sammlungen.gwlb.de/content/00068032/jpgs/default/00000035.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 48 lines, status machine
# Lines: 48 recognised, mean confidence 0.79
# 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.

Logarithmi curva
ha urvam
A omptoto
in dato Dato Leg Lineae Logarithmicae punctus aliquo, et axe, invenire
rectam quae in dato puncto curvam tangat. fiat ut AD ad D ED ad
DB ut est 2 ad  seu ut AD ad + Ergo ED, BBCAD, seu + X
ponendo 2D + BBBY. APBX. dam +pBX, seu tBZ: ergo
X
juncenda et hunc valorem priori inserendo fiet: V
= seu
3
X
seu pBY habetur autem summa camp. nempe Va summa ergo
enis mndus est + omniami Logarithmotum per noncros suos divisorum (ma y est Logarithmu
X. numerus:) haberi potest. Sed et cuba et outa etc. omnium p. methodi
Barroviuna haberi possunt Eodem modo et aliurum figuratum ad analysu
mevocabilium habebuntur quadratrices, et vicissim harum quadratricium
tangentes; seu differentiae
sit AC agis lineae logarithmicae Asyuempotos sumatur alia
quaelibe recta quae eam secet in puncto C. ita ut AF. FC sint
datae sit AF f. FC+ c. AG⊓ 3.  seu logarithmus,
GH  X. seu numerus. quaeritur relatio inter HL A Z. et CL  Co.
Ante omnia ACHV f + c. GC∞ Sf4C + X. Erit
HM 3 F+C LM fco.
CMSC + Sdv
GM IVC.
(9 N
H C Y e+ f
Ergo GC⊓ vC + C SCf Bf+C + X.
et quia ex natura Logarithmorum vel progressionis Geometricae:
 X Xp a. fier: aequatio:
Denique LM +MH   Z. seu ASftC y + F c0. N.
Ope e igitur harum duarum ultimarum aequationum alterutra
incognitarum y vel co. eliminari potest. Elimmataque AC
substituto ejus valore =Z - 1f +C y fict: 1
c
) + Sc+f
o
- f+ ct
EC
yH SS+C + a
+3
Ultile foret figuram in venire in qua X a + b a + b2 +d et
quousque scilicet continuare liceat sed talem figuram  non ausim sperare.
X + abX + ac B.. vel  X +obX V- +su o.
quaeritur X. ia iquaeritur scilicet applicata lineae logarthmicae,
id cujus trtus logaritimi triplum applicata aequetur linea
subest nonnihil