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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 80, page id 799199311:0096
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# Lines: 26 recognised, mean confidence 0.91
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DELINEARuM H, QE CACTOTIH E A aquaLCMI. Duamobrem, LI ab H B aUFCTAtUE P. A,
ARVARUM
eAc cam utrobique excarum genere, quae mere seomerrica cen-
80
EFRESTTANT HVGENI.
prorurione. reliqua recta portioni curVae HI E aequabitur. Apparetaurem, cum
currae puncta quaeris inditerenter, certaque ratione inveniantur,
Tentur. Vnde erelatio horum omnium punctorum ad punctaaxis
AC, aequatione aliqua exprimi porerit, quam aequationem ad lex-
cam dimensionem alcendere invenio; minimumque habere cei-
 = GF
A
KDE
queaequalta. Tunc enim auu Cx Guors cuera puncto, ut H, ad
yi erit lemper cubus ab x x- y y- a a ae qualis 27 X X y y a a. Sed hoc
calu brevius quoque muleo, quam praedicta constructione, CurVX
EIm puncta reperiri possune, ur in lequentibus ostendetur.
Cxrerum nocandum elt, in ellipsi lingulos quadrances singula-
rum linearum crolutione describi; licur quadrans a B L crolurio
ac linca A E H M, Quadrans c L crolutione limilis huic oppolitx
COM. ECt enim haec in fectione utraque diverticas, quod cum
principium quidem currae E er m, tam in ellipsi quam in hyper-
bola, licpunctum E, Cumpra a e equali: lateris recti; in hyper-
bola in intinicum inde dicta linea excendirur, at in ellipsi finitur
minorum, tituerie a B lyperbola cujus lacera crantversum rectum.
axem cA N perpendiculari A N; VoCata quC A C, 4; C N, X; XNF,