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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 87, page id 799199311:0103
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IOROLOO. OSSTLLATOR.
curra, cum forma as sic esen, acucust, qua secctsm ad
IRVARuM
Ouia ergo ratio B M ad M D inventa est ea quae y ady -+ 3X, HOC CIE OT LINNARuM
Qua MRadMK -F 3KS. SICUIEaUTEM M K ad M X - F ZK S, ICa M B ad PrOEuriONE.
MB = + 3B2: Cric proinde M B ad M B UE M B adM B - F 3BZ. Vnde
liquet utD aequalem sumendam ipliMB -F 3B2. Acque ita quoE-
libet pusseta curra CD E invenire liclbit. Cujus currae portio qua-
libet utD s, rectae DB, qua paraboloidi sa B ad angulos rectos
occurrie, aequalis crit. Constat auce geomerricam esle, de lireli-
mus, pentumus aequarione aliqua celationem exprimere puncto-
rum omnium ipsius ad puncta axis S R.
Simili modo aurem, li inguiramus i pardboloide illa sive para
Bola cuda, in qua cubi ordinarim applicacarum ad axem, sune in-
cer se licurporriones axis abscisse, ihreniemus curram cujus ero-
lutione aelcribitur, quae que proide recta lincae aequari poterit,
nihilo amciliori constructione per puncta determinari. Nam (i
Fuerit ina S A B; aris sM; (dicitur alcem impropric aris in hac
angulosrectos, ea porriones similes currae habear ad parres oppo-
Sicass) agacur per punctum quodlibet o in paraboloide sumprum.
recta bD, quae curram ad angulosrectosscle, axique ejus OccurraE
in M, Lectae vero 52 in 2. Deinde lumatur FD aqualis dimidix B M.
una cum selquialtera B Z. Fritque Dunusa e punctis currae quae licx
R Dvel RF, cujuserolutione, juncta carten recta quadam r a, de-
Scribetur paraboloidess aB. Sunt aurem hic, quod noraru dionum
CH, Quodque in aliis criam nonnullis Racursi paravoloidum contin-
ic, dua erolutiones inparres concrarias, quarum urraque à puncto
certo lnirium capic; ica ur erolutione ipilus auD, in infinicum
porro conrinuata, describatur parabeto pars infinita ABF; CvO-
luciose autem corius E E K, limilicer in iniulum exrenlae, cantum
parcicula a 5. Punctum aurem a detinitur, lumped s _quxe sit ad