# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/799199311:0163
# Permalink to this reading: https://leibnizlegible.com/page/799199311:0163?run=74
# Title: [Christiani Hugenii Zulichemii, Const. F. Horologium Oscillatorium. Sive De Motu Pendulorum Ad Horologia Aptato Demonstrationes Geometricae] Christiani Hvgenii Zvlichemii, Const. F. Horologivm Oscillatorivm. Sive De Motv Pendvlorvm Ad Horologia Aptato Demonstrationes Geometricæ (shelfmarks Leibn. Marg. 70; ZEN Leibn. Marg. 70)
# Folio 147, page id 799199311:0163
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=799199311&page=163
# Source image: https://digitale-sammlungen.gwlb.de/content/799199311/jpgs/default/00000163.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine
# Lines: 45 recognised, mean confidence 0.89
# 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.

TTOROLOG OSCILLATOR.
aequalis rectangulo a M F, una cum quadrato aM; hoc eAt, rectan- D n
suloram, mulciplici sccundum numerum parricularum b; hoc Z1oHLS.
est,: a a b; quia n a cst: a, ec T a= a, ac proinde rectangulum L
AMI x = a a. Summa vero quadratorum, a distantiis parricularum
ponderis c ab eodem puncto a, aequabitur quadraro a c, mulci-
plici secundum numerum parricularum iplius ponderis; hoc est,
a a c. Adeoque lumma quadrarorum omnium, tam a distantiis
particularum virea, quam ponderis c, cric : a a b -F a a c.
Porro, distantix omnes particularum virgx A C à puncto a
aequantur = ba; lonsicudini scilicet virga iplius, qua esta, mul-
tiplicilecundum semillem numeri particularum quas continet. Fe
distantix omnes parricularum ponderis c, ab eodem puncto a sunc
a c. Ira uc Cumma urrarumque distanciarum (IE: a b- + a c. P et
quam diridendo summam quadratorum prius inventam,: a ab
+aaC, EF.
=a ab -+ aac
c
= ab - + ac
sive.
lonsicudo penduli ilochroni.
Oux iraque habebitur, Sifiac, ur dimidia gravicas rirse, una cum
gravicate appensi ponderis, ad erienrem gravicatis virgae, una
cum gravitare ejuldem appenti ponderis, ita longitudo a c ad
aliam. Oportet autem lumere lonsicudinem aC, a puncto luspen-
Tionis a ad cenerum graricatis ponderis c; cum magnicudinis ejus
ratio hic non habeatur, ac veluri minimum Con(ideretur.
ucam, praecer pondus c, alcerum insuper D virgx inhx-
rercislcelligatur, cusus gravitas, seu particularum nume
riis ICd: diltatcla vero A D Tic f. Ve pendulum Cimplex
huic la compotoilochronum inveniatur, addenda Tunt
ad lumma upetiorem quadrarorum, quadrata dictan-
ciarum parcicularum ponderis D à puncto a, gux qua
drata apparet ese d f F. Adeo ur lumima omnium jam siE
Fucura: a ab-+ aac- + ffd. Icem, ad Cummam distancia-
rum, addenda distantiae particularum ponderis D, quxe
Faciune df. Ac Cumma proinde distantiarum omnium crie
ba tca- +df; per quam dividenda est ilta quadrato-
rum Cumma, _ AE
a ab -+ a a c- + ff d
longitudo penduli ilo-
OSCLLLA
chroni.
Duodlirero, haec lonsitudo penduli ilochront, data eequalIs
poltuletur, quae lirp, et reliqua omnia quae prius dara LIHE, prater