# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/799199311:0135
# Permalink to this reading: https://leibnizlegible.com/page/799199311:0135?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 119, page id 799199311:0135
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=799199311&page=135
# Source image: https://digitale-sammlungen.gwlb.de/content/799199311/jpgs/default/00000135.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.88
# 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.

TI9
DSETL L A.
distanciarum particularum ejuldcleomenti a planoe CF. FrgO_ rovis
terria prima a quabitur; nempe Planum 2, mulcip lex pernumerum =ecop. 18. hui.
particularum Colidi a B C D, lummae quadrarorum, a distanciis par-
ticularum solidi ejusdem a BC D a plano e C F. quod erat demon. =Prop. 14. lib.
Cerandum.
Nocanduss vero, quando lolidum a B D rocundum cA circa
arem ac, heri semper rectansulum BC K ae quale quarex parti qua
drati BC; quoniam subcentrica cunei, abscissi luper circulo BD,
plano per tansencem in B, nempe recta BK, XQuaTUF = radii B C.
Vnde, si er aequalis polica lic B C. Sequitur, Faciendo ue r Nad P ∞ ita
rectangulum BCE, hoc elt,: Quadrari B C, hoc eAt, qu. P a ad pla-
num aliud2 Forc hoc rectangulo a e oxquale. Ac proinde runc ip-
sumrectanoulum a P D, mulciplex secundum numerum parricula.
rum Colidi a BD, aequari summxe qualitx quadratorum a perpendi-
cularibus omnibus, quae a particulis iildem cadunt in planum E C.
D ROP
5
TIO X VI.
elinea fuerit. sive supersicies, sive
 s a aiter suspendatur, aciteturque
super axibus inter se parallelis, quique à centro cravitatis
jeura aequaliter distent, sibi ipsii sochrona est.
5. Euct
ATOROLOC. OSCTLLAFOR.
ernumerum parcicularum SCGICHEI B N N D, aquatUE quadraTIS DE CRUTRC
rura quae
Cbponacurmagnicudo quaeris, cujus cencruurcao L. Pu
ctum, licue Pimo lulpenla ab axc, qui per F intellisitur heseo pa-
sina plano at a astectos. Traque idem planum erit ac planan
OTcillariOMS. LIE QUO TICenEEOF, radioF F delcribatur circumteren-
tia FH C, lipoque in illa puncto quovis, ut r, magnitudo se
cundo suspendi incelligatur ab asc s se pas Infixo, acque
agicari, manente eodem oscillationis plano. Dicoilochronam Fore
sibi ipli de darae circa axem in F.