# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/DE-611-HS-860722:0141
# Permalink to this reading: https://leibnizlegible.com/page/DE-611-HS-860722:0141?run=74
# Title: LBr. 695 · Oldenburg
# Folio 71r, page id DE-611-HS-860722:0141
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-860722&page=141
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-860722/jpgs/default/00000141.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.87
# 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.

Eix consideratione similitudinis videntus
ementa Geometrrae bievrus demonstrari
uosse. Assumendo enim rectam esse lineam
bi ubius similem, consequitur dde de
p.
Mriangulis simutens munifestum due punctere duas
duas rectas non posse sibi occurrere plus semel. Consequitur
et natura triangulorum similium, et h et exiis sequitur
Theorema pythagolicum. adeoque et proprietas circuli, ut
a
quadratc sinus et suns et complementi simul aequentur radio
si quis vullet conjungere calculum magnitudhinum
posset etiam hinc demonstrare rctas binas non
sed
secare nisi in dob uno puncto resito, AC, sit C
A
Ae AE sit X
sit AX.
s
et
pyeocomus,
sit +, sit directira
AX, recta BV) oidinalae yx sint y = X , ex
natura triangulorum similiam et ordinatae
 oE sint y = X Ordinatae
BX sunt y = X +b, p: a et odinat
et ordinatae oE surtus XAc, K: a Ergo in Casu
concursus fit XB + BP = XKZ CK, seu fiet
f = bp + CK, : K - B seu X = RC pb, : K- p
itaque X habet unum tantum valorem; sed cum
recta secat circulum, aut circulus circulum
prodet aequatio secundi gradus capax ductum
valorum. Sed haectamen metius exfiguris
consequi licet et brevius
y = X - b, d: f X = bB 15) ;8- 5 firy - bbis
fit y = (69. p5( et 6 + fb,  a, n 5. 5, F = b - p, a iy 9.5