# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00067970:0110
# Permalink to this reading: https://leibnizlegible.com/page/00067970:0110?run=39
# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 11
# Folio 55v, page id 00067970:0110
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 56r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067970&page=110
# Source image: https://digitale-sammlungen.gwlb.de/content/00067970/jpgs/default/00000110.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 55 lines, status machine
# Lines: 55 recognised, mean confidence 0.97
# 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.

peripheriam cadenti oppositum.
jam autem quod a centro Estantem
et sunt jam quod a diametro centro
abest diametro est extra peripheriam,
ergo peripheria simistra habet
punctum extraetram. Omnis
autem linea quae in eadem superficie
hrabet punctum intra linea peripheriam
seu lineam periodicam, et extra eam
tam secal ergo peripheria dextra
ei oegum
sinistrae occurrit illic ubi ex ea
ogpeditur ergo peripheria dextia
sinistrae loccurrit.
si vellemus ista ordinatius ostendere
pimum ostenderemus duas peripherias
esse interse aequates, nam habent radios
qual
aequales
si duo radii alter aequales cr ita
urea suum sua centra, moveantur,
extremitas mota
ut alterius in atterius centrum
inci seuextremitatem immotam
incidat sequitur peripheriam unius,
incidere in centrum alterius, mutuo
est ergo punctum perpheriae unius
intra greripheriam alterius. jam
a quolibet puncto alicujus peripheriae
aliud punctum ejusdem
Si duo
Generalius: positione
super recta data triangulum
isosceles construere, cujus crurum
longitudo sit data magnitudine data
centris extremis rectae positione ditae
lon radiis rectae magnitudine datae aequalibus
in plano eodem cum recta positione
data circcirca  hujus extrema velut
centra circumactis describantur circuli
qui si possibile est problema, sembunt
cese jungantur e sibi occurrent
in duobus pu sese secabunt: ex aliquo
inter sectionis puncto ducantur rectae
ad duo centra, habebiturue Triangulum
sosceles quaesitum cconstmendum
quaeritur analysis. Da proponitur
triangulum isosceles, cujus data est basis,
dataque est longitudo crurum quorum
dantur extrea dantur ergo circuli
fition
jam data rectae longitudine, et extremo
ejus positione, datoque plano, datur
circulus, in quod cadit alterum rectae
extremum et punctum Datur ergo