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# 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 12, page id 799199311:0028
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine
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DESCRIPTIO
HO2OLOCH.
ARISTIANI AVGENI
delionarc. Delcribum
aat AB, Guae dimidixlongi-
cudini perpehalcu aegualis lic. In cujus circumterencia sumpris
Partibus aqualibus quorlibeE, AC, CD, DE, EF, AC, CFF, HF,
TK, jUNSANEUS CC, HD, LE, R F, qua cruncincer le parallela.
Deinde arcui a F lumacur aequalis linea recta L. M, Caque in PaRLCS
aequales rotidem diridatur quor sum in arcu a P, carum que par-
tium uni xquales ponantur lingula C N, c0 in recta C C, duabus
vero partibus rectae L m, a quales tianc linsulae D P, E O in recta
D H. Tribusvero, lingulae FR, IS in recta ET; atque ita porro (I
partes plures Fuerint acceptae; ac tandem eori L. M xquales fiane
lingulae FT, X V in linca extrema F R. Jam si curra describantur
Per PunCta AOQSV, AN P R F, lxe rursus quaelicx cycloidis ParECS
crunt, inter quas perpendiculum aftigi oportet.
Recta autem L i aequalis arcui a einvenitur, si primum duabus
rectis, qua Cemissibus arcus a F subrenduntur, ae qualis POnacuTZ Z,
torius vero arcus subrensa a F aequalis ab eodem termino accipia-
cur X 2, differentiae que Y Z rriens Z. a ad toram X Z adponatur. Nam
cotaxa cori arcui a F tam prope aequalis erit, ur licer Textans fuerie
circumterentix, (neque major hic unquam requirieur) non una
Texiesmillesima parre lux lonsicudinis deficiar, uri in his, qua de
Circuli Magnicudinc antchac scriplimus, demonstratum cA.
Explicitis quae ad horologii Fabricam actinene, nunc quoque
illud declarandum est, quo pacto ad veram horarum menturam
componi debeat. Ergo primum, anrecte le habear morus ejus, hoc
modo examinabitur.
Licebit aurem alicer quoque, per inrenta puncta, crcloidem