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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 492, page id 175905688X:0514
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=514
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.90
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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492
LOM ANNIS LIUIDDENTT EPIST. I.
Jam ad Regulam revertar, e paucis innuam, quod ex opera-
cione hic facta eluceat generalis Mechodus tollendi ordine o-
mnes, quae quidem pollune, quantitates incoenItaS, vel eas quae
uc incoenita considerantur; quod, meo quidem judicio, magni
ulus est, cum (aepenumero quaeltiones difficiliores, unam cantum
incoenitam quancitatem supponendo, aut non relolri polle, auE
mulcomajorilabore, aut certe ad cas resolvendas alias rias quam
hactenus imitari consuerimus incundas esse, deprehenderim;
quod etiam Cartelium nostrum non latuisse ex pag. 4, aliisque
palsim locis luculenter constat. quod nihilominus haud ita pri-
dem ab inligni Mathematico in dubium rerocari comperi, cujus
rei caulam hanc conjicio, quod in aliorum scripeis magis quam
in hujus rerlatustuerit. Dixi autem hâc Regula collieas quanci-
cates, quae quidem tollipostunt: non enim semper omnes pol-
Cune, neque etiam una excepta, neque duabus, et c. Nlam (I quxe-
stio non lic Theorema, omnestolli negueunt; et si determinata
CIc; omnes una excepea tolli possune; si vero una deticiat condi-
eio, quo minus determinata existat, omnes tolli queune duobus
exceptis, e sic deinceps, ut nosti. Neque, quod sedulo ob-
terro, etiam semper per quamlibet aequationem una quancicas
incognica tolliporest. Exempligratia, in duabus hisce xquatio-
nibUS X3 -3Z X X  bb X -
2
e X 3 - 4ZX X  ZbX = 2
Z
b∞O.
Zb ∞ 0, in quibus x e Z duas
incornitas quantitates delignant, potest x vel Z per neuEraI ex
alteratolli. Ouod, ubi accidie, indicio eAt, Problema, e quo hae
dux aequationes tuerune deductx, Si omnes ejus conditiones in-
cludane, non determinatum esse, atque unam in eo conditionem,
ut prorlus determinatum (ic, deficere. Non raro etiam licet in
relolrendo aliquo Problemace determinato divertas invenire x-
quationes, unam candemque incoonitam quantitatem habentes,
idque magno cum emolumento. Sed dehis alias.
Porro quomodo caldem Regulas alia adhuc Metho-
do inveniam, breviter adjungam.