# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/824573315:0408
# Permalink to this reading: https://leibnizlegible.com/page/824573315:0408?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 196, page id 824573315:0408
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=408
# Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000408.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.91
# 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.

arithmetica insinitorum.
PrOD. 194
Nempe; In Cerie Texta, numeri (Friangulares) 17 3, 6, 10, _C
(quitiunc ex concinca mulciplicacione horum IXR + 2 1 L~ EC)
Sunt uc quacrata oedinacim applicacarum in Hyperbola; uc
diccum eA proP. 173.
In Perie Ouarca, numeri (arichmerice proxorrionales) 132,3.
4. c. (qui hume ex concinua mulciplicacione horum 1X =
XZ _C) Cunenc quad aca ordinacim applicacarum im Parabolas
Ere uc rectae in Priangulo; WC DaTCC.
In serie Secunta, numeri (X911 a lc5) E, F, F, T, dC. C qui Rune
ex concinua mulciplicaciosnetrorum, LX Z x Z E _C. ) CunE u
quadraca rectarum Crelerian ipla rectae) in Parallelooram-
MO. UCDaTeC. Adcoq: in S ou ida de Duarcalerie, pro curvis
prodcunc rerera rectae, lacus nempcillic Prianguli, hic Paralle-
loxrammi.
In Ceriebus sexta, octara, decima, Rec. (alcernatim sumpris,
prodibune curra masis adhuc compolicae, sed quarum chara-
eceres non minus accueace delienancur in dicta cabella, quam
Parabole, Hyperbola nuc Pllipleos characteres noci.
In reliquis aurem seriebus incexi. Ctis, prima, cerria, quincas C.
(inlocis imparibus,) proveniene icem aequabiles curra et re-
gulares (quales puca pro Geometricis agnolceret C arceliuIs,)
ouamris carum chara eres disficilius explicari possine, ut qui
expolitis lerierum, in locis paribus policarum, characteribus sune
incermedii juxra illam quam exhibuimus progrettionis Formam
in prOP. 187
Oualicee aurem ad aspectum sE praebent exposicx curra, (Tam
quae locis paribus quam quae imparibus conveniane,) lingulis
cabellae Ceriebus indicacae, ostendic appolica figura, quae sigilla-
rim illas dexictas exhibec, debicis luis menluris ex eadem (uB
Lognuneur) Scala desumpeis.
Norandum incerim est (quod _ iple aspectus inlicae,) quod
conrexicas curra VC (rectam V P vertus obverla) quae in cur
rarum ulcima e maxima, ((ITEETO COIMPETemUS,) in ancerio-
ribus Censim decrelcic; donec in loco quarto curra illa in re-
ctam (lecantem) cranteat (qua inter conrexam se concaram
e media,) deinde locorertio in concaram, secundo aurem in
Parallelam, de in primo deniq; in recurvam, ( quae nempe ex iis
Parcibus adeectam concinue appropinguae quibas relique inde
recedun.) Icem recta VP, quae in quinca e sequentibus cA can-
BCAS