# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00067970:0059
# Permalink to this reading: https://leibnizlegible.com/page/00067970:0059?run=39
# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 11
# Folio 30r, page id 00067970:0059
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 31v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067970&page=59
# Source image: https://digitale-sammlungen.gwlb.de/content/00067970/jpgs/default/00000059.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 61 lines, status machine
# Lines: 61 recognised, mean confidence 0.92
# 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.

u via rectae
aliq00 ejus
terminatae in plano cilea puncto immote manente
seu via rectae circa punctum immotum eousque
continuata donet recta in priorem locum redeat
 et  Aic1 BA2c A3c3Bt 1c1B.
phopogepeum
Exferum (est Ctotum cuis partes simullexistunt
spatium est extensum purum absolutum seu
Punctum ea quod il entensol sinsticisimum est. a A
Ognia puncta sunt lii adro Ispatio
Linea at diar puncti c gec
Distantiae Rectar est mimiua rar pruncto
 punctum viae  A ac
ac si rabetpaya vihabe vecte
Pars rectae est recta. Nam
suur sa arbe p aga rent radbrpaza
Nam M2 adbar ragc rent adb sbe page
(27) Angulus rectilineus exTitafiet
via rectae in plano cirra punctum commune
cum alia recta in eodem plano via ratio
viae rec si recta a recta cui coincidit
discet digrediatur in eodem plano manense
ita ut maneat puncturi commune
doncc rursus tamdinque moveatur dones
iterum rectae priori coincidat, sive
quad idem est. si describatur Circulus;
erit angulus rectilinens portio circuli
ali ratio portionis circuli inter duas rectas
in dato situ positas comprehensae, ad
totum circulum. Nempe Erit ergo angulus:
A Si sit ABC p  AC
et si sit A t AosBd et AdB
et AbCC9d et ABCA AC
sit
perfectum.
si
A6dCyd recta.
A3B A6BA9B MAB A3B, poit 9B ∞F
et A3B ∞ ACC AZa
et AyB a erit anguli F AC quantitas:
A3B A9B ratio ad O seu ABBAgB
Unde fante pat patet anguliis esse quantitatem
esse eandem, et si rectae producantur omnia
enim semper similia adeoque et proportionalia
erunf ac proinde eadem manet ratio
partis circuli ad totum, id est quantitas
(28) Duae quae rectae habentes punctum commune
angali.
sunt in eodem  aliquo plano. adeoque angulum
rectilineum constituere possunt, quia
tribus punctis n communi et uno cuiqus proprio
determinantur jam tria data puncta sunt
in eodem aliquo plano, et rectae sunt in eodem
plano in quo sunt puucta quibus
telerrartu
1Aug. 1679. scheda
characteristica ex primere
deberet, necessario in
se redire rectam ita
motam.