# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/824573315:0239
# Permalink to this reading: https://leibnizlegible.com/page/824573315:0239?run=74
# Title: Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio (shelfmark Leibn. Marg. 84:2)
# Folio 27, page id 824573315:0239
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=239
# Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000239.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.88
# 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.

PrOD. 37,38
Arithmerica Ensinatorum
MP, MF, proportionalibus, 2de0g. Arichmetice proportiona.
LiboaS, (UE DaTeE:)
Es aurem series ejulmodi, (in
duplicaca racione Arichmecice
Poporcionalium) 5 lerici 2
Qualium, (DECDEOD ZI, )ec CC-
ries drichmecice proporcionali-
um = ejuldem scrici aequalium
(D.C DFOP 2) Ergo illa 2d
hanc (hoc ck, complemencum
fenea Spiralis ad Scetorem) uc
S act = hoc CH) uc 2 ad3.
PROD. ZILXVTI. Corollarium.
T Speciatim; complementum feurae spiralis una cir-
culatione descriptae, est ad circulum primum (ipst
conterminum) ut 2 adt 2.
Nam constabic complemeneum illud ex infinicis arcubus
PT, in racione duplicata rectarUm M P arickICFICC- PTONON-
sionalium. (sIve NE O7 X, 4, 9, _C.) quorum maximns eA in-
ecera peripheria A; contrac aucem circulus ille inIeger CxIO-
eidem peripheriis Arichmecice. proxorrionalibus, UE 0, 1, 2, 3,
_C. Quarum etiam maxima eAt eadem paripheria a: Idc0g;
Complemencum illud, ad hunc circulum, ui i ad Z. HOC CHL, 1C
2 2d 3.
PROP, ZZXVIII. Corollarium.
 Patia vero quod frcuris spiralibus in singulis circu-
lationibus deest ad complendum soum circulumi
Sunt ut 235, 8, TY, 24, ec. Arithmetice pro-
portionales.
Cum enim ( posiro circulo primoc) Crune (per PFOD.
29833) hgurx Spicales circulacione prima descripia Zc, le-
cunda EC, Terria E C, quarra 3Z c. _c, circuli aucem concermini
DIIIito
27