# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068200:0492
# Permalink to this reading: https://leibnizlegible.com/page/00068200:0492?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 245v, page id 00068200:0492
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068200&page=492
# Source image: https://digitale-sammlungen.gwlb.de/content/00068200/jpgs/default/00000492.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 67 lines, status machine
# Lines: 67 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.
# 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.

recta aequali
Sed quemadmodum Vata Carcus  invenire honum
respondentem LF. non facile erit nisi detur
ipse areus ciirculi
circulque ut ducta HD, abscindatur arcus AF(ipsi AH rectes aequalis
 ut ita habeatur sinus, LF, vel sinus complementi CF.
ita similiter dalo logarithudo AH invenire numerum
respondentem LF, non facile erit nisi detur ipsus Hyperbola
ut ducta Hd, abscindatur arcus ACe ita Hyperbolae HF
ut ita habeatur tam numerus LF, quam ejus reci procus CF
CL, X LF L CA, (2 = C, AHh.
et DA = 3C.
jam ut inventum
inveniamus AH ducatur ad  DRH, recta CK
parallela AH, quae erit = AH, seu CA = =h.
NV = CV et SV: BC DC (iC) +CV:: AH
it
ergo CV: DC+ CY.. h 4B : 3C. seu
3C. CV = k 2ch + hCY seu 2Ch: 3C- h = C)
porro CR: HT:
C
ST:: CV: VA(C- C
constructio Mechanica pro inveniendo
umero dati logarithim et cogarithmo
Haec constructio ducta ex
pagimu praecetenti
N ut non copus sit haben
praeparatio Generalis D
et perrema, sit planum
 in quo rectae in definitae
Po2 Geo sC ad angulos
rotos Praates in C. sat
CK ulutas fugula in cp et super
ea quadatm Ci cujus diaquantus
CA cun aequalis CR in c8 smula
SiC producatur in D un ut co
Et dupla AC. Cti 
denique per A dutmas normaler
+2
ad AD.
sic jam numerus CL (sumtus in CD) cujus quaeritur logarie
thuus junge L.K ado inde educ perpendicularem KH seeantem cn in H.
prum
et ipsi CTaequalem PF sume ad angutas normalem ipsi et
habenda
em bam cieculi
sit contra AH cogarichum cujus quaeritur nuntius: junge dH quae
vadioce
n
it
c
secabit Cq in A, et  C2 in a. Junge Xk, eique normalem a
n
outro
gradioeL
educ RS usque ad CD. Sume modium ipsius CF in V, et ipsius C(B in Y.
us
et in C s2 sumta CT aequali Cy itentro V radio VY describaturi e
a
circus circuli serans Cri in X. et erit Xy aequalis numevo
quaesito seu aequalis ipsi et, propernodum
potest C senet assumi talis ut AH semel fiat ognrthum Tabularis tunc
tunc manentes AC semper erit tabularis.
Hyperbolum
2
2
si amenida