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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 76, page id 799199311:0092
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Cmniout serBENI
erveanum circumterentix lons aequari posse lincae rectae. Ad Sphae-
oration. Locs receti, iren onoidis hyperbolici superticiem
CadC LaONC COMpPCLOOTa Quadratura reqUIrituI.
buimus, Pendec a guadratura hyperbola, uc mox oltendemus.
Verum, quod non indionum animadrertione ridetur, inveni-
mus ab (que ulla lixperbolica quadracura luppoliione, circulum
xqualem construi luperticiei uerique limul, sphaeroidis lari et co.
noidis hyperbolici.
76
Buxratum
Nam paeblicae linex lonotcs uum in spharoide hoc adhi-
Sphaeroides lacum ejusmodi, uc urriu sque limul luperticici exhi
beatur circulus aequalis. Cujus exemplum in casu uno caereris lim=
pliciore Curticiet accult. .
Sit spharoides latum cujus axis st, lectio per arem ellipsis s Y
EK; Cujus elliplis cenerum O; axis ajOrF K. ponatur autem el
liplis haec ejulmodi, ur lacus tranverlum r X habeat ad latus re-
ctum cam rationem, quam linca lecundum exrremam ee mediam
adt0. d l ha au Cble PoptoaleS BC, B A, B F
Dato enim Sphaeroide quoris laco, posse inveniri conoideshy-
perbolicum, velconera, daro conoidchyperbolico, porseinveniri
rationem lecca, ad parrem luc aste.
Sumatur B C pocentia dupla ad so, item B a pocencia dupla