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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 148, page id 898203430:0176
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=176
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NINCENTI VIVTANI DE LOCIS SOLIDIS
ad sibi oppoliram ABC, quadratum rami E B ad quadratum rami CC,
33. huius.
b 21. Primi
Ponic.
neulum YBl ad rectangulum XOL, vel ve b quadratum
lemiordinatae BL. ad quadracum lemiordinatae OR in Ayperbola HIL.
ideoque, et latus C B ad latus CC ve lacus B L. ad latus () H, sed per
mucando ramus C B aequalis, nuper ostensus est semiordinatx BL; qu1
VCrC
orto sse
vrOPEer; _ ramiis C C ad datam Fyperbolam AB C ductus ab origine
C inter exteriorem focum X, e verticem F. sibi oppolicae Sectionis DFF
aequalis est lemiordinaa OR vique ad concauum FIyPerbolae HLR, quae
est Sectio oppolita ipA DTF, Peu Limiri Ordinationis ramorum ex cadem
origine C ducibilium ad Eyperbolam D E F OppoTam datae ABC. Ouod
CFat _EC.
PROPOSITIO LXAV
N FEyperbola. Limes Ordinationis ramorum ab oriei-
ne externa oltra centrum, atque inter ipsum, (5
verticem sibi oppositae Sectionis data, est ad LoCum con-
cauum alterius Flrperbola oppositae ei, quae sit Limes Or.
dinationis ramorum ab eadem orisine ad aliam Hy
perbolam datae oppositam ducibilium.
YTT data Eyperbola A B C, CuUS vertex B, axis CraNIVerSUS DF, cen
DcUn X, incer quod, de verticem F Sectionis DF F datxe ABC op-
DOlicae, Sic data ramorum oriso C7. Dico, si ramorum ad Ayperbolam.
DF. F ducibilium ex origine externa C3 inter centrum, de verticem sum-
Pra, inveniatur Limes Ordinationis, hoc est Hyperbola IL. M, cuuS MO-
dulus ex lacerali sIE L R, vei Factum fuic in PrOP. Lxxj. huius, ipsi vero
IL M sc OppOTia SectiO ORK: Dico, inquam, hanC ORK esse Limi-
tem Ordinacionis ramorum ab orisine C ad datam ABC ducibilium.
Tam