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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 194, page id 175906937X:0218
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1B
sexeti.
L L E M. C, U R V A R U N
e
0B E E M A I.
Propositio 8.
Dacis quibulcunque diametris conjugatis; Flyper-
bola axes conjugatos inrenire.
Sine datae diametri conjusaex PC, G FT, oportearque invenire
conjugatos axes ejus Lsyperbola, cujus cadem PC, CHI COn-
jugacae diametri exictune.
DuCtis ab A CenErO per C _ TI Asymptoris AC, A FI, ducta-
que a C ad eorum alterutram recto C B alteri xequidistante, su-
MaEUF INteF AB, BC
media proportionalis
A D. Dein ducta D F
ipsi AD aequali, acque
AEymproco AHI Paral-
lela, CrIEL AF, eran-
TIenS PCF F_ A ac ipsiuS
L A dupla, eransrerus
2XIS Qui quaeritur, atque
IE K ad candem per-
pendicularis, ac utrin-
que Alympeoris termi-
nata, axis secundus,
priori conjugatus.
Duoniam enim pun-
cum C: in IIyperbo.
la est, rectangulum que
per3hu- AD E ip(I ABC aequale ; erit quoque punctum F. 3 in IIy.
IuS.
aver s pri Perbola. POrro cum propter rectas D A, D F. aequales + aequalis
mi.
quoque sic D A F angulus ipsi DF A, id eAt 5, P AK angulo,
5per 29 pri- sineque _ anguli AF I, A F. K ex constructione ae quales: crunE
mi.
 per 32 or Eriangula A L. I, A P R ae quiangula; aeque ob latuS A P commu-
mi.
ne etiam aequalia, lacusque PF laceri F. R aequale. IInde cum
7per 26pri- punCtu F.  in HIyperbola existat, dividacque bitariam rectam
mi.
per sup. TK, utrinque Asymptoris terminatam, continget ip(a TR  Cur
demonstr. vam in F; ideoque. e proprer ansulos FF. L, LFK rCCtOS, CON
operbhu jusaciaxes erune FE., LK.
FUS.
T. HEO.
94