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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 935, page id 851387705:0955
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PFOP. XXXII. De Calculo Centret ada.
nv=, FY =: (nempe, Summ, A pun-
ctum m Sic incermedium incer 5 et r: DiF.
Terentia, li secus.) Adeoque iplarum dn
quactrata, 8 r g. = n = 2n f +
Cum itaque Ouadraca rectarum pun-
ctis n intiltencium (sectionis planum ip(i
nx intiltencis complencium,) Duta 
Sinc (per prius octen (a)5O9- Snq; erunt
ipla, - - 5. +    F2
(Nempe, 2 n F cum CignO =, Si M Cit
intermedium; cum lgno , A (CCuS.
Vbi S2 C F2 Tunc Terres A. qualium; 2u F
leries Primanorum; B- n, series Se.
cundanorum.
Et quidem Z, SEn X parallela ipRI CNI
aSMPEOIE: Adeoque (PrOPter Sm =dM,
B2 =n2 Se MuTuO perimentes.
Ouo catu, (1 Ic etiam S = =, 2, (existente seilicet n in A vel a; adeoque
CA = Cn:) his icem se perimencibus mutuo, solum supercst 2 ee quidem
cum signo F: (Nam, Botito n in A vel a, non pocest punctum m intermedium
etse incer se r, guin r exic extra Solidum: ) Leu (PTOPTE n = B,) 2; seu
(proprec 52 =  T, adeoque s = =, 5., e F = 5V = = : IV = = VLT,)
BZ V =, Ceries Primanorum; (uc quadeaca ordinacim. applicatarum in parabo.
la.) AdlCOgHC qua rectA n X per verticem A vel a cranseunti, utriris ACympto
cacum Parallela, insistie Sectio, elt Parabola. Ciujus vertex, W; AXIS InCErCEPtIS.
n = C m = Y. Cd4 + dM g: = Y: B. + = B2: =bY: Tacus rectum,
7: F. 2 f 7 ∞; vel (PrOpteE F = 3 Y L T,) ZY
Sin (manente nn paralleta C. M alymBToIX) punctum a sic exera Colidum, (ultra
A vel a,) adeoque Z majus quam S: Fric exiamnum 2. 1 f seu 2 B F cum
sieno-F, (quippe polico n extra Solidum, non pocerie m incermedium este, quin
 etiam eric extra Solidum: ) LL = 2 = 82 p
124-
F
T, HoC CAt = B F
ei
= Ceries Primonorum mulehaca serie squalium: Adeoque, et nie,
sectio erit Parabola; sed enjus vercex sienon in u, sed (ubim, intrando, cur-
ram secat) in V; ec u in axe continuaro extra Parabolam: L acus rectum (yt
Y: E F X7: Verrieis distantia a V = -
CiS = B = 2
+
 Cni respondet
Si aucem (manente n x paralleta CMalymptOt) punctum sic incra Colidum,
(sire incer Aet C, sive inter C. et a,) erit Cn minor quam C A; ad eoque
minus quam P: Porestque m vel H incermedium olle inet d et n (nemrpe