# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/DE-611-HS-860722:0036
# Permalink to this reading: https://leibnizlegible.com/page/DE-611-HS-860722:0036?run=74
# Title: LBr. 695 · Oldenburg
# Folio 18v, page id DE-611-HS-860722:0036
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 19r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-860722&page=36
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-860722/jpgs/default/00000036.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine
# Lines: 46 recognised, mean confidence 0.94
# 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.

dende, quod commemorabas, methodum tibi suppetere, qu’à
addere possis eas series Fractionum, quarum denominatores numeris
constalt segurutis; putat idecm Collinius, Mengolu in libro
suo de Additione fractionio sive quadraturae
Arithmoticae, Bononia impresso A. 1650, docuis
se nos modum summae haru serieruv invendendae
At quando idem Mongolus pergit ad Progressionem Musicum in
Fractionibus, vel, quod idem est, ad Reciproca Progressionis Arithe
ticae, cum euudratis et Cubis eorum, puta
3 4 5 5 ) Faetur ile; non potuisse se haru serverum summas
4 9 162536d
Methodus nostra, ait Collinius, ad hauvu quoy summa rivenienda
se
methodus
se porrigit, atque illa Exitroitius ideu praestat, quan eas coince
dere arbitratur. Ad quod experirendum, utilem hanc quaestionem
proponit;
ruidam habet domum sundumve sibi locatum pro cersu annuo
spatio
100 librar, penrapatuum 100 annoru: scre cupit presentema ejus
ratorem, daccisis 6 libris n 100 pro simplici fanore arauo, 50
lutione arnuatim facienda:
Valor ille est summa 100 terminorum, hac serce,
10000
106
10000 10000 10000 et
11 2
118
124
quod supta computum
nostrum facit 3200  proxime. Quaritur, quae sit summa
cujusvis alterius vel majoris numeri terminorum in dictaserie?
Si procurare nobis potes eum Mongoli libud, cui titulus
Via Regia ad Scientias Mathematicas, ejusdemque Musicam novissime
editam; adhac, Griembergerum de Speculo astorio Elliptico, una cum
praxi ejusdem Nova caeli Perspectiva, nec non Praxi Sectionu Conicaru
et Consectariis, circuloru contactus et sectionos arqulares, concernen
tibus; rem omnino grataur nobis es praestitorus, quacu de se,
rente, demerere annitemur.
Reverendi Patris Pardies instotutuo quod attinet de Iveri
cadis Aquationio radicibus, curvae Logurithmicae bereficio;
laudatus Collinius ait, Methodum ejis modi probé niter nos esse coy
nito eauq accommodam non esse nisi Aquationibus duarum potesta
tum, aequalium numero Rresolvendo sive Homogeneo aequationis, quales
sunt illa cubicae, quibus suas Cardunus regulas applicat, quae sunt
nec saltem retde porsunt, gemeralos adstannte neguiequam dsicaltate