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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
# Folio 348, page id 851387705:0368
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ECTTONTBOS
lxOD. 
Lram E orcltaum appluce
OD, od, diametro Aa (vertus
caldem partes;) crunt illae (Pa-
Laltela Palatecto cermnatae, Aco.
que) aequales; et Propterea CD,
Cid, etiam aequales CrInE (pTO-
peer communem oppoluarum Lly.
verbolarum diametrum- tranlver-
la et aGlasta latera recta;) 1d
coque et dO, 8o, (DiO Patat
Lelas) aequales CtI.
mus
Sunt aurem rectae sO, hoc est
CD, ea quancitas quam supra dixi-
d
eROP. XL. II
De Conjucatis Lyperbolis.
Latus rectum l;) acque in Manetro conjusata dd, sumantur d
nempe (ct. P:: 5. .) c dd transversa diameter conjurata: P. 2-
que si describancur Oenu Arperbola, vertices habentes an an e
Ordinatim- applIcataS dco
diameero Aa ParallelaS, L. 2
tusque rectum n = =, (u
nempe AC F. 2: : r. P.) di-
CentuT. OpPOALI VOTEICCS a a
ip(IS A a vertices conjurati;
atque Fyperbola a a ipliS
Aa, Typerbola conpuatae;
commune cum illis centrum
habentes, (ut Patet.) Sed
et casdem habebune AErm.
DtotaS rectas: ut jam de-
monstraturus Tum.
Nam completo parallelogram.
MO MMI, (cujus latera per con
jusatos verrices transeane, Line.
que conjugatis diamerris transvertis parallela, de propcerea aequalia;) crune rectae
CM OmniUm AEYMPTOTE; Der DrOP. 39. (Idem accidet, si sumpris quibulvis CD,
Cis, ipsiS C. A, C a proporcionalibus, formetur Parallelogrammum circa idem cen.
trum C, latera habens conjugaris diamerris paralleta: Omnia enim puncta anou-
laria, in AIymptoris CM reperientur. Puta, S ordinatim applicars, in hac Fi.
sura descripia, ad ATymptOraS UIque CONtInVareNEF.)
Praeter illas aurem Asymptotas duas, nulla in eodem plano recta duei potest,
guxe (producta) non alicui ex conjusaris Hyperbolis (produetis) Occurret. VE
ex praedictis facile est demonstratu.
Parallelosrammum autem MM (per quatuor conjusatoS verrices EranSIenS)
respondet parallelogrammo Lllipli circumleripto per iphuS Conjusatos vertices
cranseumei.
PROP.
F sit Eyperbolarum. Oxpolitarum eransrerla diameter A a = t (de
centro utrinque aequales C a Ca; sEque EOTA a C a = = = V EV (UE