# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068124:0051
# Permalink to this reading: https://leibnizlegible.com/page/00068124:0051?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 30
# Folio 26r, page id 00068124:0051
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068124&page=51
# Source image: https://digitale-sammlungen.gwlb.de/content/00068124/jpgs/default/00000051.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.85
# 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.

De functionibus circuli rationa
erit AB aequ
1497
14yy
C Arcus circuli
 contaet radius
versu
GB sinus complemensi
IY tangens semiareus.
BG aequ 1- yy
1+7)
AC aequ 2y
liter exprimendis
BC sinus rectus
AB
Et AT, y. radius L.
2y
BC aequ 2y
riagu
Ergo ut et AC Obtineamus rationaliter
1+yy aequemus quadrato gus + 2yv+0b
fiet y aequ. 1-dv, : 2V seu  = ~
20
21
ut autem sciamus quid sit v. con in linere
considerandum
GF secantem semiarcus esse
i+gu ergo rjus quamn seu y+v
ergo sabi at verit diffrientia inter Ib
secantem et Janganten, arcus, AH quae
si sit rationali
secans, suq
rationales oruunt, artus tangens
et dinessi Cuncomtee
popat datli 
et uocus dupli
as
ingsinus venus sinus conpement
allgea selans