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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 25, page id 898203430:0053
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VEL LIMIT. ORDINATIONVM CONIC. L. IB. I.
3. Si tandem AC ad DF minorem habuerit rationem
quam AB ad BD. Demonstrandum remanet L.D,
FC. convenire simul ad partes D, C,
 P enim incer se aequidistarene, estet AC ad DE ve AB ad BD. EE
aDS ad conrarias parres convenirent, iildem rationibus, ac lupra, ho
DeFCE A C ad D E maiorem rationem quam AB ad BD, verunque CON
cia Hypochelim. FerSO OIMInO PATEHE PFOPOTILa.
e R OPOSFTIO XVI
N quacunque C oni- sectione centrum habente. Recta
linea runsens occursum, in quo aiqua ex ordinatim
ductis diametrum secat, (9 occursum verticalis contin-
sentis cum altera lateralium a terminis ordinata ducta-
rum, si preducatur, cum reliqua lateralium, (o cum
reliqua verticalium tancentium ab altero transuersi la-
teris termino ducta, in ono, eodemq: puncto conveniet.
ESIO ABC vel EllipES, vel Circulus, vel Hyperbola, cuius tran-
versa diamerer B D, ad quam sic ordinata A C diametrum secanS in
C, Cintque ex terminis A, C Contingentes AF, CF, de ex transuerlae
terminis B, D; Sint verticales tangentes BF, DFT laceralibuS AF, CF
occurences in F, H. Dico, S iungatu F. C, de producaur, hanc necet
Pario ad punctum H peruenire.
Nam cum AF Cectionem contineat, de
diametrum (eceF in F, SEque ex A ordi.
nata A C C, exitDF ad F B, vel D H ad
EB, Ve2DC ad GB, de permutando FID
adt D C VE F B ad BC, e anguli ad D, B
Tune aequales, ob parallelas DFI, BF, er.
80 et anguli DCH, B C F, lune aequales;
Ted D C B est rnica recta linea, ereo d
FCHI rnica est recta: Diaconalis ersO L C
producta convenit cum laterali tansente FC.
in eodem puncto FY, in quo convenit relir
qua verticalis contingens DHI.
Si aurem, in quarta AgUTa, Ordinata
AC per centrum cransierie, constat in FIli
P(i. vel Circulo cum lacerales, tum verti.
cales tangentes esse inter se parallelas, cal
que rectangulum P II Sectioni circumleri-
bere, ac propterea iunctam F C per
cenerum, cadere necestario in punccumH.
236. Primi
Conic.