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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 103, page id 85138403X:0119
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a= FTZ
R2
EF HNaTVSUOS.
ad cocidem R. Ideoque ponendum eric, A5. 3L. A B =
: R + HI2: _ A R= IP (semilsi rectae C F (19, 29,) QuAEC
_E2F= a TC
 FFIEqUe, UE PEIUS, HIE A BC R quadrantis ciE-
cularis legmentum, ad coridem R, hoc est ad FYX R: SiC SuperH-
cies illa Scheroidica ad Sphaerica. () C parres parcibus respe-
etire proporcionales.) FHt aurem, ut patet, AB, ellipleos se-
miaxis MdIOr; RC, Temiaxis inor; A R, dittancia foci a cen
Ero, live rectaduae pocelt diferenciam quadracorum Temiaxium.
Dicoisitur, Si in circuli quadrante enjus radius AB ellipseos
semiaxis maior, ordinaum applicetur P C sem axi minori agnalis,
e complearur A RC rectangulum: Eritnt RC B A quadrili
neum ad AR C rectarentum; sic Sphaeroidis oblonei superficies,
ad superficiem inscripiae Sphaera.
Tnicelligatur jam Cplindrus F FC Z F9. 29, obliquus esse, cu- Spharoidis
jus batis FGr circulus; _ FZC FIliplis, axi recta, cujus mi- lati superfi-
nor axis FC. Cum ioitur, divisa FF circuli dinmerro in par- cies.
res aequales numero intinieas, quorum quaelibee dicatur A, e F1g. 29. 30.
Parciculx peripheriae (uc prius octensum est)
_ harum parcicularum quadeaca
t
e
RA
d
vel.
s
V:R  a
2=a unde s auferan.
cur quadrara aequalium parricularum rectae CF, pULA
et
X
A (Tumpro Ccilicet, uE C F ad F E, SIC FY ad R,) erunE
R2 a2
R2 q. X2 A. Quadrata parcicularum FIlipieOS FZC;
eorumque radices V.  A. XI
R = a p2 22: iptae particulae. DuX
quidem urexque parriculae (cum Peripherix, cum IIlipleos,) i in
suas easdem a luis axibus resrectiras dilcantias s= V: R= a
ducantur: Fecta (sup erEciebus harum conversione circa suOs axes
proporionilia) sune, illic R A; hic, AV: X - +. +
112
AdeOquO