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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)
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+DROLOG. OSCILLATOR.
ctarum aliqua, ad lineam datam per e perpendicularis ducieur, DE CENENO
CTLL a-
SICUE PF, aquari quadratis duarum FCS FM, quae ab eadem par- r10i
ticula, in plana per PC X F. C anec dicta, perpendiculares aguncurr +.
+ 47. 2. 2.
Ouare, licognolcere possimussummam quadratorum, quae tiune
ab omnibus perpendicularibus, quae a parriculis univerlis cadune
in plana dicta per E C _ per E C, habebimus etiam huic aequatem
summam quadrarorum a perpendicularibus, qua ab univertis iis
dem particulis cadune in rectam datam per E punctum. nc
Illa vero prior quadratorum summa colligetur hoc modo. Po-
natur primo ficuram planam dari oop, ad lacus Rourae Colidae A B
Co, ejuldem cum ipla alticudinis, qua que lic ejulinodi, uc secta
lincis rectis 00, R E, gux respondeane planis Rouram Colidam
AB CD fecantibuSMM, NN, de hisparallelis; eadem sic dictarum
linearum inter sc, gua ∞ planorum horum rario, si nempe luman-
turutrinque quae in ordine sibire spondent. Vesilincar e lic ad0c
quemadmodum planum i N ad m n. Ouod si igitur figura plana
oOP, in Focidem particulas minimas aequales dirila inrelligatui,
quor incelliguntur in Colido aB CD, cruur etiam in unoquoque
Teomento firura plana, velurooR R, tornumero particulae, quor
sunt in fiourx Colidae seomento m m e e ilti Ceomentoresponden-
ce; ac proinde d lumma quadratorum, a perpendicularibus om-
nium particularum fgura o er in planum ec, aequabicur Cummae
quadratorum, a perpendicularibus omnium particularum Apurx
Colida, in idem planum e o productis. IIla aurem quadratorum
Lumma data eric, (i dentur in figurao e P, cuncoque illius, qua
propol. 9. huj. requiri diximus. Frsohis datis, dabitur quoque
lumma quadratorum, a perpendicularibus qux, a parriculis om-
nibus solidi a BCD, ducuntur in planum FEC.
Ponatur nunc alia irem figura plana s X F 2, ejuldem cum Colido
AB CDlacitudinis, hoc est, quam includant plana B Z, D2 Colidum
contingentia, ac parallela plano E N C, qua que lic ejusmodi, uE, sc-
ctalincis rectis VV, X Z aC. qua respondeant planis figuram a BCD
Sccantibus, K K, I. L, X hisparallelis, Faciar candem inter Pe rationem
linearum harum acque illorum planorum, si lumantur quae sibi
mutuo respondent. Itaque rurlus quadrata limul omnia perpen-
dicularium, a parciculis Arura sYT 2 in rectam sr cadentium,
xqualia erunt quadraris omnibus perpendicularium qua, a parti-
culis solidi a B CD, ducuntur in planuin a c. Illorum auremlumma
quadratorum dara erir, si detur distantia centri Gravitaris Agura
3t L db rectaB x vel e, de lon distancia in didem cenrri sra-
Eiel