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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 130, page id 898203430:0158
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=158
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230.
Bola TOL, cuius axis trantuertus sic iple Modulus NL habens ad suum
rectum latus L X eandem rationem, quam cransivertum R B datae Hyper-
Bolx ad summam ipsius laterum, hanc Ayperbolam TOL datae esle cir.
cumscripeam, eiulque concauum esse Limitem pFODOSItUM.
EX COnTaCtU A sUper laceTaLEM FANSENEeM A F ducacur normalis AR.
ex 12. lB. Erit igitur OD ad DR ve a cransuersum datxe Hyperbola ad rectum,
Sed est quoque OP ad P D ve idem transuersum ad idem rectum, ered
OD ad DR eAt vE OP ad PD, _ viraque ratio est ca, quam crantuersi
daxe Hyperbola ad rectum; quare canvertendo eam R D ad DO, quam
DP ad PO erit ve rectum daix ad trantuersum, ee componendo tam RO
ad OD, quam DO ad OP, ee quam iplarum difterentix, nempe RD
2d D P eric ve rectum datx cum crantuerto ad cransuertum, hoc eA v
summa laterum ad transuersum, ee convertendo PD ad D R ve cranuer.
sum dacae ad summam lacerum, suie, ex Hyportiest, ve NL. eranluertum
NINCEHTH VIVTANI DE LOCIS SOLIDIS
 Diviaa
in apoII.
FErperbolae F OL ad J. X rectum eiuldem; sed D D ad DR, sumpla,
bro huius communi altitudine D F, eA ve rectangulum PDF, vel ve rectangulums
aut num. 3. IpH aequale b BIDL ad rectaneulum RD F, vel ad quadratum perpen-
dicuaris A D super F R C in criangulo rectangulO F A R) quae est le
2e primi miordina a in da a Hyperbola, _ NI. ad L. X, cranluerlum nempe ad re
cum delexipiae TOL, est ve C idem rectansulum NDL ad quadratum
semiordinatae ex D in descripta FOL, ergo quadratum D A semiordi
nacxe in data AB C Xquatur quadrato lemiordinax ex eodem puncto D
in deleripa TOL; quare veraque harum Sectionum transit per A, pari
dr9. huius Tet que Per C.
adnum. 2. Fx quoniam rectangulum D PF aequale eAt a quadrato PL, rectae FA,
(037. Pim  delcripcam Ayperbolam conringent e ad A, C: Sed eadem contin
eCK COnE
Co. Su Gudesce catami A BC in iildem punctis A, C, ex Hypoche(, ere
 AIAOAI SECLOIES sE UTuO COntiHGUNE E in ipsiS cantum punctis A, C:
ApolI. ideoque Hy Perbola Y AL. C, datae AB C est circum leripta.
SCcCI
COMG.
Biuinac. a
oc. lib