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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 115, page id 898203430:0143
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=143
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ORDINATIONVM CONTC. LMTIBVS LIB. L.
25
tis ABD aequalis est semiordinat B L, PrOUE ramuS F. D semiordinatae
DHI _C.
Ecto praeterea alius quicunque FamuS F. R, de ordinata per R (i YQ.
quae Hyperbolas secet in Y, Q axem vero in V.
Fc quoniam rectanguIUm L. BP ad TRO est vE a quadra UM BF. 24 23. huius.
E V. S permuando rectansu um P. BP, Cive quadra: um L. B aequale Octen.
Cum est quadraro BF, ergo ee rectangulum TRO quadrato L. V aequale
exie, quibus communi addico quadraio VR, AE rCCEANGUIUM TRO cum
quadraco VR, hoc est quadracum YV aequale quadrais LimuI RV, V R.
live rnico rami F.R, ideoque de semiordinata VY ad FIyperbola AL
requalis ipsi ramo F. R ad Llliplm: de sic de lingulis cum ramis, tum sc-
miordinatis ad veranque pariem Flliplis, ac oppolicarum Sectionum. OH2.
re convexa huiusmodi Sectionum oppolicarum tune Limites propcli x Or-
dinacionis. Ouod erat ec.
S C
X constructione patet huiulmodi Limitum, seu oppositarum Sectionum
L transuertum lacus A C Cemper minus esse (UO rectO LaLerC AC; nam
de disterenia F.llipsis lacerum DB, BH semper eA minor iplorrantuerso D B.
P ROPOSITTO LAV.
NFillibs oblonea. Limes Ordinationis ramorun ab ori-
sine inter focum, (5 verticem, est ad Locum conca-
num yperbolae sibi circumscriptae, cuius centrum idem
est ac Moduli ex verticali, atque is est Fyperbola trans-
versus axis, qui ad suum rectum latus est vt axis trans-
versus Fillipsis ad ipsius laterum differentiam.
TT EIlipsis obionoa ABC,
 cuius cemrum O, axis
maiOr B K, verrex B, FOCUS F,
inter quos sIc OrigO D, Per
quam cranseat ordinata A C
balis crianguli circumleripei A
EC, sIEquC L N MOdutuS CX
verricali BCr diagonaliter ap-
tata in DI dec. CEque P cius
CenErUIM. DiCO, A Per L CC -
minum propiorem Moduli.
cum centro P, circa axem HI.
describatur Hyperbola YOL.
t a