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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 101, page id 85138403X:0117
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Et HINANONO 5.
HE FEF circini ductu descripea in superficie minoris; e semisis
FCF semiellipseos in superticie majoris, A in FlanuM UETaquO
ExPANAATUF, CONSTUCNE.
POrrO (i incellISREUE, nOn jAM F R uE in A8. 7, hOc eA F ZC CurvaEL
Ag. 2. sed F C uE in A9. 20. sive CF, vel C F recta, vel etiam sipsees
FF, A8. 29. dividi aegualicer; adeoque F A H5. 30. hOc eA FIG. 29. &
F 2C Ag. 29. diridipro racione arcuum ordinacim applicacis
sire Cinubus rectis aequalicer diltantibus respondentium: Leune (in
Parcibus intinire exiguis) quaedraca parricularuM ABC CUTVX,
huic diritioni respondencium; uc quadraca difterentiarum horum
aEcuu, quadeatis aequalibus auSta. (Ouorum onnium radices,
ad omnes illas vel differencias, vel diamerri particutas requales,
TUINE, uE A BC curva ad rectam A F, vel ad F C: quibus qui-
dem agcregaris proxortionales suxerticies planas, Facile est con
cipere; sed non ica Facile ratione nota explicare, migIS QUAMI Fa-
tionem currae Ellipseos, ad circuli vel peripheriam, vel diame-
TrUM.) Sunt aurem illae arcuum ditterentix (proprer arcuum in-
finice exiguorum ex chordarum quali- coincidentiam, ad eoque &
centrorum gravicaris, urpore quae arcui ee chorda interjecta esse
2
debent,) uc = hoc est Factum ex R cadio de diameeri ali-
quoca parte exigua A, per sinum rectum sdivisum: (Ouod ex
Acchimedis e aliorum demonstracis, qui superficierumm, Ephae-
ricx e circum fcripeae Cplindricae, segmenta, Parallelis planis
abscissa, aequalia esse octenderune, Facile colligitur: nempe R A
sc, factum ex Radioin A, aquale esse Facto ex sejusdem di-
Ctancia a diamerro, in c correspondentem curvae porriculam:)
P. A2
Adeoque illarum quadraca -
 qux quadratis aqualibus
A= (PTOPTeF F C = C F) aucta, exhibent
P
+ A=, QVa-
drara parricularum CurVX AB C; eorumque omnium radices,
CUEVaM iPSaM: HOC CC, (PEOPEeF Si N: R = at: TUMPTIS a
verinque a medio, uE 2, 2, 3, 8c, succettive,
R2
A
0.