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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 331, page id 851387705:0351
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PFOF
XLX
O N LC +S
le mutuo bilecant in communi centro C;) punctaque A a vel a d
conjusatos vercices (in Conjugatis quIPPE aIAMCLLIS ECDCKIOS) appel
lanuS.
rum haec melius torcalle pepe quu detp de H PetBOA OpPOHLIS 
Conjusatis CICLII CFIE.
enim elt uctum dicatus,) Diametrum crantrerlam communem esse, et quidem
Latera recta aequalia, (vel, si maris, idem; nos enim de lateris recti licu nullam
prorlus considelaem habemus, Led Tolmodo dle iptius magnicudine, neque
enim omnino retert ret uo, vel a o setibatur aut seribi incelligatur,) e
quidem ealdem Ordinatim applicatas; Diametros interceptas vero oppolicas ha
DenE, quae quidem L AGUanEUE SIAMCETO- ErANSVeNCX.
Ellipsin aurem binis Diamecris Conjugatis, carumque quatuor verricibus sic in-
Structam, Postumus quidem quati pro quatuor sive Flliplibus sive Sectionibus ha-
bere, quaru quaelive es habe retacu aque Diametrum, eique Ordina
rim applicatas de Lacus rectum. Duarum quidlem quatuior, BINaS aLL d da O.
positas dicas, (ut _ A e a, d dt L,) GIaLH HCIMDC verrices sune oppoliti; binas
verO a Aa, A a a, vel A42, a 20, (quarum relulles sunt conjusati, uepote in
conpisaris diametris politi,) Conjueatas dicas.
Quamvis enim Sectionum Opposicarum de Conjueatarum domine, LEyperbola ut
plurimu incellisi Toleane: nihil tamen impedit quo minus (uE L PCt DOlaS, IC)
Fllipses poticas et Conjusalas dcalulo. Vet lalem ( Le HOIS P)
FIliplin aleamus Opposito e Conjueato lieu conralant. Ld falcem interest in-
ter quatuor Sectiones Hyperbolicas, corlacigue Pdo, (COZaIIS VraCL
accommottatas,) quod ha quidem (productae) le u Cane, (adeoque L.-
liptis tota dd quemris quatuor vertieum relett Ple) illa aucem non ita. Ve
Incetim notandum est, Oppositarum sire Ellipsech sire Verricum (perinde
EROP. XXX.
De recta Cllipsm Contineente.
Ecta Ellipiin contingens in conjusacalum Diametrorum alteru-
punguam concurret, (ulpore qua spi Patallela est, ut modo osten-
sum crat.) ua velo euipim comcinoit iecia, alibi quam in con-
jusato vertice, cum diametro (producta) concurret quidem. Punctum
autem concursus sic inguiremus.
Supponatur Pangens af, Occurrens ut l, Produclae
diametro F A, cui ordinatim applicata sIE C a. Suppo-
nacur etiam ubiris Ordinacim applicata DO, Tangenti
Occurrens in T. Sicque centrum Ci; ec Oppoliti vertices
A a; quorum supponatur A puncto E propiOr, d re.
mocior.
LErius Vertice, cum reliqua (quancumris utraque produCatuF)
Dicantur autem (ob commodiorem caleutum) =e
a = +, (ideoque F a = + -- d, F.
L. R- d.
2
ED = a (ideoque L =) = an d A = d = a
Lum (quia quadeata ordinatim applicacarum LUNErC.
: F. ∞9. DOG. AdC Cst, 1a = 42. 10
a=F
Ctangulis sermentorum Diametri trantrerta proxortiona.
C
atndea
lia, uc ostensum est proP. 28.) Crit P. L
+ 2 d 2:: et  = 
e = DOc
 CPloPCet Limiia CTIaHEllid) LL. L.. DE. DL. 1OC Cltus F.6.0 =4c
e= DZ, estites Glacabu
Tum