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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)
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PFOP. XXXVIII. GON L CIES
una recta; acque, illa quidem in C’bilecta; quae isitur cum ad Oppolicas AyDet
bolas cerminetur, erit illarum cransrer la diamerer, ejusque medium punctum C.
carundem CentruM.
Unde etiam liguet, Typerbola Diametros omnes in eodem communi centre
convenire.
morancur; iildem tere verbis etiam Hyperbolae conremiun (Hc non HC, OpUSeq
repetere.
Sed de ea omnia Corollaria (ultimo excepto) quae ad PrOP. 3Y. de Fllips me
ea1. aaaILI.
ffectiones Geometrica. Cchon cisitb. 
ciri
DRoblematum eectiones quae de FIips memorantur prop. 32.
exdem tere coridem rerbis etiam typerbolae conremiunt. Nec
Opus CA UL rePetanEUT.
L
ti vsi
d ~BSIBEEISB C. 1(13c1Z
XXRIX. INOM Wduneq SrenitC
e
etio SEbsivO o
3 quodvis N, eique Orcinatim ponatur NM, Racque t. I.: C N9.
NM9. (hoc eM, ic diameter cransversa, ad lacus rectum; sic qu’a
dratum distantix punctorum CN, ad qua-
dracum rectae NM,) juncta CM crit, il
lius Frperbola Asymptotas empe Lqua
(continuata) TIrperbola (quantumris pro
ductae) miinguam occurreu, ita tamen con-
tinno propius accedet ut dictantia tandein
cractat quavis aenaca mitior. lovi 13 l. L
di
Nam (2 Sumpto (intra Flyperbolam A, 9)
diametri puncto quoris HI cui ordinatim applice
cur TIO, recta, CM OCCuTrenS in MI. RrIt (prOD.
ter Timitia eriansuta) CH. NMC: CFI. HM.
Adeoque CN4 N MQ irdilLs Lii) CH9 =5
  
propier Etpecbo
De Fyperbolae Asymptotis. sistin
lumatur in Fyperbola diametro (extra centrum C) punctum
leledeta a
agoat emDC
set qpsil sii
Freo HOq minus et quad LM. es recta HO minor tliam Tecta TEX
proplerea M exic exira Fly perbolam. Recta isicur C. M M, (quancumvis, produeta,
lyperbola nunquam occurrit. Ouod erat primo demonstrandum.
2. Cum sitOM (= H M - HIC
Lucque 5,  E, quan.
ticates stabiles, at c rariabilis, de quidem tanco major quanto remorius abest pun-
(2350 = 621∞] 552
515
dum HI a centro C: Disterentia rectarum V= h V vib hoc ellu rectarum
HM, HO, perpemo minuetur Prout C, hoc cst; C H alscEr. WNamlgH ipsot
bus quacratis aequale augmientum (recenca lisurae Specle ) ihoreni postulat, la-
tetis productionem quam in quadratis minoribus, (uE nocum est.) Fdéotque ptole
lonsius abest a cenero punctum L, adeoque c majus eHt, (reliquis incerim immu.
catis) ica tempex minuetur OM, disterenria lacerum Y = 1, s   L. Pt COn.
X X
seguenter
dicl315G obsr
atm.). CC 14 =