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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 92, page id 834940469:0176
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ers lequadelta F:O, IN; cum que hoc semperhae in om
nibus punctis elirux ellipricae MCR. manitenum eAt extruios
3 Ccomencum hyperbolicum AC DR M cHC xquale sopert
cicierunci super curua ellipeica M CR lecte 3plano per rect
MR cranseunce, e in angulo semirecto cum halc erunci im
clinances ee igitur cum quadeacum rectae X sic duplum super
Aicicierunci, eric Xrodius circuli aequalis supersiciei sphaeroi
dislsex seniex exrotscione curuae cllipeicae MC R CITCA aNE
Mks quod demonstrandum crac.
PROF, 49. PROBLEMA.
Inuenire circulum aequalem superficiei conoidis byporbolica
Teconois hyperbolica geniea ex revolurione lemihyper-
a bolae FST circaaxem FS, cuius superticiei oporret inue
nire aequalem circulum. In verrice Fhyperbolam FanBaErC.
Atd F FI aequalis semis laceris recti. Leinde describarur hy-
perbola cransiens punctum II, idem habens cenerum nempe
 ee eundem Cemiaxem coiugarum nempe DE cum hyper-
bolapropolica FS T; Sicque hyperbola descripes BHR ordi-
nacim applicatam ST productam (ccans in R; _ Peomento
hyperbolico FHIRSAiacae quale quadrocum, cuius diameter
R: dicoX esse radium circuli aegualis superticici conoidishyo
perbolica propolicae. Sic hyperbola propolica alymproca
DV, rectom FH productam secans in K, lirque heperbolo
invenea alympeoca DY, FH eriam productam Fecans in C3
ee producatur recta V FI. Fx quolibechyperbola propoliea
puncto Laxi applicetur ordinaeim recta QC, qua product
reCtASDEI, DV, D Y, incerlecet in punctis L O, L, de hyper-
bolam invencam in puncto P; licque C A aequalis rectX C, Z.)
manifectum est (ex Fran. aSchoccen commentariis in C or-
Eelum P45. 216.) iunetam rectam DA cansenrem hyperbo.
lam in puucto Bnormalicer secare. Cuoniam recta FKhy Per
Bolan
uuins