# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068635:0014
# Permalink to this reading: https://leibnizlegible.com/page/00068635:0014?run=74
# Title: Leibniz-Handschriften zur Philosophie LH 4, 6, 12a-e
# Folio 7v, page id 00068635:0014
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 8r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068635&page=14
# Source image: https://digitale-sammlungen.gwlb.de/content/00068635/jpgs/default/00000014.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 recognised, mean confidence 0.98
# 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.

De Arte inveniendi Theoremata.
tractatam
Artem problemata solvendi tantum ab Analyticis libutum constat.
Theoremata autem fassi sunt omnes, casu inveniri: nam quis mor-
tatium praevidere possit exitum combinationum valde compositarum,
constat autem
et tamen ab ab eventu quodam inexpectato, combinationes quasdam
consequente; theorematum elegantiam  oriri. Quare
combinationes omnes ordine instituere necesse fuerit, elegantes
eventus extundere volenti, quod non est in humana potestate:
A Est sne Superest sane nonnihil in Artis combinatoriae arcanis
quod huic negotio lucem affundere possit. sed hoc a nemine
non dicam erutum, sed ne suspicione quidem libatam est;
enihi vero in mentem venit i ratio, qua hoc saltem efficere
possim, ut si quis proposito quodam argumento, theorema
elegans a me postulet exhibendum intra certum tempus
a ausim dicere me satis facturum. Tola ejus rei ratio
huc redit:
quaere solutionem Problematis cujusdam,
valde difficilis aut etiam impossibilis: methodo quadam
plansibili, id est in multis aliis casibus succedente. vi
incides in progressu in miras quasdam atque in expectatas, ectum
quibus uti molebas compensationes sive destructiones, atque
theorema
ita quanquam problema non solveris, problema tamen
memorabile detexisti. Ita video Qatrm inqui
sitionem perpetui praeclara de Aequilibrio theoremata
Motus
osprotulisse.
Ego quoque dudum observarum
Numum ponamus
proprietatem praeclaram; tus ictus descendentium ictum
corporis descendentis in subjectam lancem C eoque motu catenam
et ex grotis continuatis compositam ita elevantis, ut paulu
elivata ipsi A sucredens etiam cadet .A autem ubi in
locum B pervenerit in locum E. subintre. Unde sequitur
ictum corporis ponderi aequivaler totius catenae aequivalere
alioquin si excederet, sequeretur motus perpetuus. Hoc non
demonstrationem sani dat, satis validam, sed inquirendi
occasionem praebet, nam posten demonstratio facilis theo–
remate semel oblato: eadem opera facile theo.
remate praeclara deteguntur in Geometria aut Analysi
Ui cujus exs explum apponam; re tdum reducere
adibcorum
tento aequationes
ad circubum.
omnes ad duas aequationes aquationes