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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. XVII.
C O N EC F S.
que BD, D5 (=D04 -
2 = ASLBD-
nempe BDK AS =D A KL A, ut dictum cA.)
Na VLALDA. (quia
HOc est (substicuris idoneis (rmbolis, nempe t = A 2, d = D A
t= d = D an l = L. A, _ e = DD) Ouadratum ordinacim applicata
= d
in FIIipA e = =  1a = - 1 = d1 - = a1 = 1d == d. (omnes
enim lae nocationes cancundem ralent.) Et quidem (repetita Foura
PFOB. 23.) tam Separatim Ld = FDXBD, X = d = FSKDB, quam
conjunctim Id = - d = F D+ DB = FS+DB = SD= DB =DO9.
Demionstratione non opus est alia quam quae propolicionis curriculo paltim in.
TexSCrIEuE.
Fsque hoc quidem estenciale Elipseos Symproma; unde reliqua dependent
et calculo deduei postune. Vc jam non opus su reliquarum affectionum in ipso
Cono inveltisario; sed melius de clarius intea in abloluta F Hipls consideratione
(sine ullo ad Conum respectu habico) insticuecur: quant prOB. 26. asgrediemur.
P R OP. ZVII.
De Fyperbola Sectione Coni facta.
N Hrperobla: Cacrata Ordinatim applicatarum, aequata sunt
ascresatis binorum rectansulorum; quorum quidem altera lunt
interceptis Diametris proportionalia, altera rero in carundem ratione
duplicata.
Sune enim Ouadrata DO, aequalia Rectanoulis BD
XDS (PeF pFOD. 7.) Ducta vero recta SF F ipA AFI
Darallela, (qua Frapezium SSEIA in Parallelosram
mum S FIIA _ Friangulum S FS, diximat) exune
ubique rectae DS = DF F FS, e Rectangula BD
xDS = BD X DF + BD X FS. Sunt autem (prOP
ter aequales DF) Rectangula BDX DF, rectis BD
proportionalia, ideoque e rectis D A Diametris inter.
ceptis. Rectangula vero BD X FS (quoniam tam
BD quam FS rectae sunt rectis D A proportiona-
Les) in duplicata ratione rectarum D A diametrorum.
interceptarum. Cum isitur sic ubique DOg = (BD
xDS =) BDXDF + BD X FS; conltar propoticum.
PROP. XVITI.
De Fyperbolico Pyramidoeide, Conveide  Cuted.
Ellipeicum) ex omnibus auratis DO ordinacim applicatarum
in sperbola, Formel Lfrummanides Fyperbolicum; aequabitur illua
Cuneo cuidam, ques cuncum Lasvolicum libet appeltate; Hehpe (0-
lido supet basi criansuratt L Le crecto, alticudinem habenet Laper
puncto A aequalem rectae AS, Sed continue crescentem aequabiliter
aonec super recta HIB aequalis eractat rectae HS. EF quidem seg.
F 2
E
T (UE PrOP. 9. e 24. Formarimus Prramidocides Parabolicum et