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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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PFOD. XXXII. De Calculo Centri Cradadis.
Sit 30 punctum mincer s e M; adeoque s’in minor quam sM, sed cidem Fi2. 216.
ubique proporrionalis; pura in ratione n ad h. AdeOque dn9 = , n 2: F L8O9
= 5mg = 5. + = B. - = n = 5 +  = 7 = m.. Duae icaque (Bop.
Tex nminorem quam B) Sunt quadrata ordinatim axplicatarum ad hyperbolx axem
conjusatum, (urpore series squalium aucta serie Secundanorum:) Ouxe quidem
Eyperbola, Semi axem Frantrerlum habet (super Ci centro crectum) S =CA:
Teu Fransvertum Axem Z = A a; AXem Conjusatum, C I m: et P acus. Rectum
2L. +
=. Ouippe, cum si in quaris Hyperbola, B. = . - -  Z; Pro
B, C, L (ne tiac Srmbolorum confutio, propter has lireras jam uturpatas,) Bona.
muS, i hac, B un a; (manencibus S, P, uepote huic cum Hyperbola Genitrice
communihus :) Friique D2 = - ,  n. Adeoque
(= Cmg = Csg + 5mg = ) B2 + =, 1; _e P. 7-
Dore quacracum rectae puncto n insistencis quam in diximus,) = 1 = 5 f   Y;
Adeoque n2 = 52 -1 P. FL propterea
tus Rectum. Fstque Conjugatus Axis, ipsa C m recta: Centrum, C.
Sic 4 punctumm inter O et M, (inter Curram et propiorem Asymprotam;
adeoque Cm, continuata, curvam lecabic; et quidem urrinque continuara, sectio
nes oPPOLITAS:) Adeoque (proprer sn majorem quam sM, seu n majorem quam
B,) erune s0g - 8m9 = 5 +-, b = -  n -= m, hoc est 5.-   7; qua.
drata ordinatim. applicatarum ad F. llipseos conjugatum axem, (Der C. on. Sect. prop.
28. urpore series Aqualium muletata Serie Secundanorum;) Cujus minor AXis
Franrertus, P, Seu 25, = Aa: cujus Cientrum, Ci; Axis cOnjugaTS CM O; L. a-
tus Rectum  L L =. Ouiore cum, in quavis FIlipL SC e. = 3 =
DrO C, L, (ne tiac Symbolorum contulio, proptex has jam in Fyperbola usuxpa-
tas, ) BOnamUS, in F.lipEI, u a, (manentibus S, Z, upoce communibus P. Dipsi cum
Eyperbola.) Eritquee 2 = - - = n. Adeoque
(= Cmg = C.8 g + dm g) = h2 + = n2: 8 C 27-
= 2. FA autem C2
B2Z
(urpore quacdratum rectae puncto minsistentis) = 52-.
= B T. FL PrOPterea
2
B
et
T. Ltem n =
T. Adeoque 52
=n, Latus Rectum.
EtCmO in eo puncto Curra A0 occurrie, cui respondet 5O = d m, hoc est
c = - Z. FLC.O9 = B + c2 = B + = 7 -
Z. cemi axis crantvertus Conjusatus.
. Hoc est, CO-V:
Omnis igitur hujus Colidi sectio, plano per Centrum Facta, erit vel Circulus,
nempe si super rectam C A; vel Fliplis, H InteT C A et C. M (seu inter curram
e alympeoram proximam;) vel Parallelogrammum, si in ipla ACympiota; vel
Eyperbola (seu potius Opposicae Fyperbola, intra lupraque,) si Per C m inteF
CM_ CS; vel ipsa quidem Genicrix hyperbola, si per Axem CS.
Incellieatur deinde, Sectio rectae n vy axi paralletae, insistens. Fruncque, d
Bbbbbb3
nic, FiB. 277.
a. FRE autem 92
P. Tremn (ut.