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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 86, page id 799199311:0102
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86
OHRISFTANI AVBENTI
dupla spussk, juiteagu LL. LC sasguuemratio v X ad duas
Timulv Z, L L, GCaLACTAMMTAS CAMMLMTCLMLALALUUMN, Criccaqua
 K adutramque simul YK, X F. HIac autem ratio data cs, crgoa
TATIOK E ad M A. Sed ararionem oB ad rB datam esse oltensum
est. Freo, cum ex duabus hilce componatur ratio B D ad DM, utTu-
Pra paruit, dabitur e hac; e diridendo, ratio B M ad M D; adco.
EUAVARUM
perronun = X: K B exnatura par abOIOL   HL. CWV. a a ib ∞ y: HCEK M h0C
Crorurronr. CAK X ∞ : R. cub. a a x x y, ac proinde : a a x x y3. Vndepatee
locum punctorum F. v, esse paraboloidem illam, quam cubicam
vocant scometra. Cui proinde ad Ftangens ducetur, Lumpta SY
que de punctum D in CUEra DE.
Adconstructionem autem brevillimam hoc pacto hic perrenie-
mus. XF Sire KM dictatuit y. IEague M A cricy =+ : X. PEM FTad HK,
sive OBad BP, uCy -F= Xad: x. live, Cumpris omnium duplis, ut 2 V
F 3X ad3 X. Deinde quia YK X 3X, CrIt Z RadZK = F RT, Cive per
praedicta, KL ad M N, UEZ X ad 3X -+ y. Acqui exrarionibus O B ad
B P, e KL adm N, componi diximus rationem B D ad DM. FESOFa-
tioB D ad DMeri compolita exracionibus 2 y F 3 X ad 3X, _ Z xad
3X t y,idce erir ea quae 2 y 3 s ad3 X -F y. de dividendo, ratio
B M ad N D, Cadem quae y adt 3 X -+ y.
Sir 52 perpen dicularis ad SX, eique occurrat ut B producta in 2.