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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 46, page id 799199311:0062
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46
CMRISELANI AVGENII
earum qua à parce a transcunt, vel erit remorior, vel aeque di-
Cabit.
Duod (i e F longius à cenero velaque remota estac G H, erie
tangenS F C major areu (UO F H, ee reliquae tangentes vertus A,
ProPAB. hui. nimirum E D, C a majores singula arcubus luis X; adco ut omnes
TIMUL GE, E D, C A MajoreS LINEATCU E A. Sed _E AFCU ET L majOr
ProPAB.Lui. CTIE LaNGENS L. M F, _L arCU L. H tangenS N O; itaque tangenteS
OIHES, PEXEEE H K, majores LimuL CFLINE arCu A H; multoque
magis, accedente ipla er H, tangenEeS Omnes intCF A _E B COm-
prchenla arcu codem a v majores crunt.
Sivero CH a centro longius dictat quam E F, CTIE LaNGCNSK H
PcoP. 1y. hui. MaIOTAYCIIH F F, eE TAHGENS M L UT AHLC MajOI AYCU L H, d Fan-
GeNS O N MajOT AFCUHL, eE OmNeS PrOINdC LaNSCNTCS O N, H I,
R HT MajOrCS aECI N F. SCd _ LANGCNS E D major eA arcu CUO F
ProPNhuj. D X e cansens ca major similicer arcu suo D A. Itaque tansen-
teS OmneS InFeF B O _L A, PEXFeF G F, MajOTES CTHINE APCU N A;
multoque maristangentes cadem, accedente cF, hoc est, om-
nes quainter B o e a incerjiciuntur, eodem arcu N a majores
CrUNE.
Ex his vero etiam demonstratio manifesta est in calibus aliis,
qualiscunque semicircumterentix arcus accipiatur, quippe cum
rel eadem sic ubique, vel pars tantum pracedentis demonstra-
cionis.
PROPOSITIO XXI
 mobile descendat continuato motu per qualibet plana
inclinata contigua, ac rursus ex pari altitudine de scen-
dat per plana totidem conticua, ita comparata ut sincula al
titudine respondeant sinculis priorum planorum, sed majori
quam illa sint inclinatione. Dico tempus descensus per mi-
nus inclinata, brevius esse tempore descensus per maris in-
clinata.
comprehemlae ABCDE, FOHKL, acque ica uc bina quaeque sibi
correspondentia plana utriusque lerici iildem parallelis horizon-
calibus includantur; unumquodque vero ferici EO H R Et magis
inclinatum sic ad horizontem quam planum libi alcicudine res-
pondens seriei AB CD E. Dicobrerioritempore ablolri delcen-
CUM PeT AB C D E, quaM peF PC HI H L.
DR MOTUI
EYCLOIDB.
Sut leries dux planorum inter caldem parallelas horizontales