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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 35r, page id 00068194:0069
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 36v); this page is its right half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 recognised, mean confidence 0.80
# 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.

t
si
esstructio ergo
55: ranc
s
lca + hin
2 55
Lcga rit anum
5
uim tateer
curvae quae aequationem
D
solvat seu incognitam
et inveniat, haec estt sint aequales
unitas
BA, AC, CE e ipsi C
 puncto C. applicetur CD data,  seu C, et aequalibus semper
c
eplicentum
 intervallis proportionales, At EF, MN rita ut AB, CD, EF
eA sin olimunae prost. et ita porro, inter quas quaerantur
 mediae, curva transeat per puncta hnic applicata dela GHs
aequalis ipsis D. Dabit AG aequalem ipsi Y.
Sed quoniem pro quolibet exemplo novam construere curvam
molestum foret, ostendam quomodo quaelibet curva Loga ithmica
nostro scopo servire possit.
Sit curva quaelibet logarithinica
BDH ejusque axis ACG, cui ad angulos quos curva postulor, (ponamus rectos,
applicentur tres rectae: AB unitas constructionis, cD seu O, et GH seu D
ita ut inter se sint parallelae, patet AC fore aequalem ipsi CE, et EM etc
si scilicet et EF seu O2 et MN seu 7 applicentur) sed nihil est necesse AC et
AB esse aequales, quia curvam non construximus postulatam, sed sumsimus
oblatam itaque uitalem vocando , e AC, vocando C, patet pter
AE fore 2C, et AM 3C et AG fore yC. cum itaque si inventa
AG in oblata logarithmica, multiplicetur per unitatem AB, seu quam
dividatur per ipsam AC seu C  quotions erit y. vel si
geometrice agendum sit si rectanus ulam BAG, id est (ponendo unitatem
quantitas
AB, esse vocan b
Byc, applicetur rectae AC seu C, proveniet
inumerus
quantitas by, seu (quia b unitas) y quaesita. Idem in Tabula quoque 3C
linea
quantitas
Logarithuieu adhibe ad hunc usum adhibenda observari poterit
a
 5.
e
FL
C