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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 111, page id 799199311:0127
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HOROLOG OSCTLEATOE.
7
dem partes summâ perpendicularium A K, BO, CP, DC, carum DD ClVEnO
uni aequalis erit perpendicularis, ducta ex e in rectam cK, lire ipla FIOHIS
RCF. Ieaque, li summa omnium AL, BM, CN, DH, Sivea + b nerop. 2. huj
+ C = + dVOCCTUY I: LUMIA VCTO OMNiUM, AK, BO, CP, DC, lire
c-+f- + 8th, voceturm: e numerus, dacorum punctorum mul-
cicudinem exprimens, dicaturB; CrIT ER N s; _ R C x . Cumque
OSTIEX, Crit R S(IVCFT ∞ X -; vel =- X, ( CR major quamcs; e
Temper quadratu F F X X X- 2   . quo ablaco ab quadrato
F E ∞ ZZ, relinquetur quadratum FF ∞ ZZ X X  2  
Ec proindeFE X V Z Z
0or. LTaEAUILEME R x 1. Ita
quaexx, brevicaris
pracia, dicacur y. Colligamus jam porro lummam quadratorum om-
niuM F A, F B, FC, FD. Ouadratum a F aquatur quadratis AV, VF.
FC aurem a va qualis ditterenix duarum vK, a x, lire duarum
56, AK; ac proinde a V ∞ X- evele -X; _E qu. A V ∞ XX - 2 C X -+
ec. VF veroxqualis est differentix duarum FS, vs sire duarum FS,
AL; ac proinde VF ∞ y - a vel a. y; de qu. V F ∞ yy - 2a7  a a.
Addicilque quadraris a V, V F, tic quadracum FA ∞ XX - 2 CX-
ec - + yy - 2 ay t a a. Fodemque modo inrenientur quadrata re-
liquATUIFB, FC, PD; acque omnia ordine dispolita erune haec;
qu. F A d XX = 2 CX Y eC  9y 2 ay aa.
Gu. FB ∞ X X - 2 fX -+ ff - 7y -2by -+ bb.
Qu. FC ∞ XX - 2 8 X - 88 + yy -2 C7 -+ CC.
Qu. FD ∞ X X - 2 hX -+ hh - γy -2 dy. + d d.
Frorum vero lumma; si ponamus quadrataee- + ff -58 - + hh x
nn; ee quadrata a a -+ bb, + cc + d d ∞ Rh; eric ilta, D X X - 2
Mx = +nn - + 8y y - 2l7 - + Rk. Siquidem D crac numerus datorum
punctorum ideo que ee quadratorum, policum que fuerate L + f- +
5- + h ∞ m, e a -+ b -+ c + d ∞ l.
In ilta vero summa, si in rerminis Dyy X 2 l y, Proy, ponatur id
cujus lOcOPOTITIM CTaE, nempC; - + vel - V ZZ - XX -+ 2 em m in
Hec tByy ∞- + 2lY ZZ - X X + 2 en-  +Z
ee- 217 ∞ -2d- 2l V ZZ. X _ =+25
6
vel- + 8yy ∞ 5- 2lV ZZ- X x- + 2 em n n + DZZ - d X X = + 2Z m
_ -2ly ∞ - 2: -= 2IVZZ -XX + Zm m m
Ac proinde, utroque catu, proBy y. 2 ly habebitur -  - + DZZ - D X X
+2 xm. 7. Quo appolicis reliquis quanciracibus, lummaprx di-
OSC+ L. L aF