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# Title: [Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo (shelfmark Leibn. Marg. 103)
# Folio 99, page id 85138403X:0115
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EF TINANOUOS.
Ex CONVerSONe A T _ R quadritinei, circa A H, descriprum ; SIC
Esuperficiei currae Cplindri circumseripei, ad curram conoidis
Patacolici suxerkciem. Flaurem quod sic ex illa crianguli con-
vertione, Z Cplindri alcicudinis Pa. Guod aurem ex quadrili-
neo sic converso esicieur, est Cplindrus (C; u(dem b.(15) alcirudi-
nis Tu, dempro Conoide Hyperbolico. Elt aurem Conoides il-
lud Eyperbolicum (Der DrOP. 163, 264. Arich. LuFIII.) ad cir-
cumscriprum Cylincru, ue = 7 + 3 D ad Z FD, (Teminis 12
ceristran(verhum cum criente diametri intercepex, ad ejusdem
laceris eranver ( _ diaeEKI aGGFCGATUH:) HIOC CA, UE A H + 
I s ad A K F T. v: Adeoque cylindrus (c hy serbolice excavacus,
ad cundem plenum; uc Z 2 + 3 D ad Z F D, SiVe UE A H + Z K s
ad A H F Tn. Ergo (pronrer equales omnium bases,) UC =Tn;
ad T a minus
A R F T _s; vel ad AK + AH + Z K s
A H + =Rs
A H + Y K
IE S: sic 3 superficiei curvae estindri circumscripei, ad curvam
concidis parabolici supertciem: Er (inulciplicaris anrecedenti-
busin E,) uE P a, ad candem A K L
AR.
R S
A H + TX
R53 SICC)IIA-
dri circumseripei superficies curra, ad curvam Conoidis parabo-
lici superkiciem. Oux num inventis eins consentiane, vide (S,
Ouam vero eadem pari bOIX CUrVA CIFCA A T CONVeNTA CUDCTH-
ciem deseribie, (Proprer eum diFFCTENLIAEUI RECTAEUM TO, tuI PAE=
ei ularum curvae, ab AT distantiam co, in carundem ab A H di-
stancix ratione duplicaca, erit ea superficies curra, ad circulum
Temidiamerri AD: non quidem uc ipta solida modo dicta, (ex
convertione quadrilinei A R n T, e crilinei A a T, CITCA A R,)
sed UE seri SOlIdOTUI HOTUM MOMeNEA resDCETUI A H recte; vel
UE OmNeS Cn ad oines EN, in respectiratum suatI, ab AK di-
stanciarum quadraca. Oux quidem racio, non magis explicabilis
est, quam ipsa Ouadrilinei ad Tritineum ratio.
Verum (ut ad alia etiam, exera Paraboloidum genero, cransea- EIlipsis ex
MuS:) PerpendAUS CUEVaM A B C AG. 7. Quam Fllipsin expan-
sam dicimus. Ouadrata parciculorum hujus, vel carundem, sub-
Eentarum, sunt ut quladrara differenciarum sinuum vertorum (in-
cixiendo ab A vel C,) sive differenciarum Pinuum rectorum
verinque a B procedendo,) quadracis aeqgualibus austa. (Ouod ex
1F
pansa