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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 934, page id 851387705:0954
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ries Aiqualiu
deoque, sin sic in C; erit (ut pri-
US) Sectio per n u, Cadem qua per CiS
hoc est sOA Genirix hyperbola (Drop.
cexd p = - 0.
Sin Licin A vel a; adeoque C n = C A
S: FrunE 8O9 - Cn 9 = 52 
B2 - 5. = = b. = p 3. Oua ilaque
Tune quadrata ordinatim applicatarum in
criansulo, (utpote Series Sccundano-
rum;) seu pocius binis criangulis com-
munem verticem A habentibus, quae HunE
rectis decultancibus cundem anoulum ta-
cientibus quem FaCIUnE A CymPEOER SC Mu-
tuo in plano decultantes.
Si a Licinter C et A, vel C e 2; 2-
deoque Cin = 8 MINOF quam S; FrUME
50g - C n9 = S2 + =, B - 0 = p 2
quadrata ordinarim applicatarum ad con-
jugatum axem hyperbola; (quippe sc
ucta serie Sccundanorum:) cujus Semi axis transversus elt V: S2
52: (Nempe, quae puneto n inEiltic ordinarim applicata in Semicireulo Aa;)
Latuo rectum,  F V: S = 02, seu = V: 5 - 02: alque anis conjuencus, ipla
n p recta.
Sin sit extra Solidum, puca ulera A vel as ladeoque plani secantis pars mecia
etiam extra Colidum,) Planum secans in iis punctis occurret ubi eAt sO (vel 50)
=Cn = =S V; (quae itaque puncta lunt rerrices oppolui:) puta, V, V. Acque ut-
cra haec puncta, exiltente r intra Tolidum, erunt 1.  = dd9 = dv, 9 = 509-
Cug = 52 f = B2 = 02; hoc est (propteris majorem quam S,) = B - 0 + S2
=P. 3; quadraca ordinarim applicatarum in Fyperbola (seu Oppolicis hyperbolis)
ad tuum axem: (utpore Series Secundanorum muletara serie A qualium:) Cujus
Axis tranIvertuS est 2 Y  =  L, et Lacus rectum, 2. V   T. Centrum
vero, ipsum n; acque AXiS, XH; Fran(rer(uS, V X V.
Omnisigicur hujus Solidi Sectio, plano quod Axi sic paralletum Pacta, est, vel
Oppotita Friangula ad eundem verticem, nempe si per verricem hyperbola Cic.
nitricis; vel Hyperbola Opposicx, si alibi.
incelligatur denique, ubiris in Hyperbolae Genitricis axe A a, quancumris pro-
Fir. 218. ducto, tumi punctumn; unde ducacur (cui insistat sectio) in plano per AXem
Colidi, recta n r, Tolidi Axi Ci s non parallela, sed cidem alicubi occurrens.
Fc quidem s sumatur n in C; fier sectio per Centrum, de qua jam supra di-
aum est: In qua quactraca ordinacim applicatarum sune m = 5 F , h - , n2:
Adeoque sectio ipta, vel Hyperbola, rel Paralleloerammum, vel Filliplis; prout
in minor est, rel aequatis, vel major quam B.
Jam rero, cuiris peaedictarum Cm, parallela incelligacur n n. Sicque C. n. (= M X)
JL F2 = F V =; Curi prius erac 5 m = v = n2 = av =. Adeoque d n -
dm. FMn, vel dm = m =, vel ma - sm, (pro vario sicu punctorum m, X; )
hocett, aequalis summae vel dilterencia rectarum sm, mr; hoc etu iplarum
De Calculo Centri Cravitaris. Cap. V.
Fig. 217. hie omnia quadrata rectarum punctis e insistencium (planum complentium, )
DUta H , = 5Og - 5 p. g = 5Og - Cin9 (PFODTCP S H = C n.