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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 120, page id 85138403X:0136
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Curvarum BodoroS,
dences, delignandas supra docuimus:) Unde liquer, curvae Pemi
ercloidis secundariae parriculas, primarix parcibus aequalibus re
spondenres, esse ur parriculas curra quadrantis Fllipseos respon-
dences lonziori semaxis parcibus aequalibuss Fllipleos, inquam,
cujus semiaxis minOE, eAD = C F; de DVL
+ 2 BD=
di-
Cancia FOCI a CeHETO; (cujus quadrarum quadrato semiaris mino-
F
ris addicum, dac quadracu semiaxis majoris;) adeoque=D
Semiaxis major; (nempe, ( HAE, UE FD = B, 2d B C = D F B, siC
EC= D, ad quarcam; erir hxc quarva, semianis major:) Qr Od et
TuPEa EradICIS PaLCE.
Flujus aurem quadrantis Ellipieos parciculis, quibus partieu-
las semicrcloidis secundariae diximus proporrionales, non camen
aequales dicimus, (adeOGUE HECFOTaI TOEI;) Tune urique ad il.
LS, uc LB, ad A (partem aliquocam ipsiuS D LFC:) uc ex jam
radicis patet: HOc eAt, ur 3  B ad A; (CR eri n y ad p, uC 2 A
ad D, quod mox oHtendetur:) sive uE 2 B ad D. Adeoque ( AdE
quadrans ellipseos cujus conjugati axes, ad axes conjuentos el-
lipseos modo distx, (inc uc 2 B ad D: (hoc est cujus semiaxis minor
SIE 2B = 2 F. ∞3 MaiOE 2 D = 2 B= F C 1 Pn:) PriE quadeinS
ille, currae semieycloidis secundariae, aequalis; de partes parcibus
respeetirae. Ouxe Wrennii noltri craditis comparata, inrenio con-
venire.
Ouod aurem y ad p, SIE uE 2 A ad D; LC, ( opuS et, probabi-
EUIF. OMINCS p (EOE HUMET QUOD IN D SUPPONUINEUE DaETeS RqUA-
les A) Cune series arichmerice proxorcionalium quaru maxima D,
cujus semissis (proprer cerminum minimu infinire exiguum) du-
etus in numerum eerminorum exhibet,  omnium cum
mam. Sune aurem oimnes y arithmetice proporcionales, et qui
dem coridem numero, quarum irem cerminus primus est infinice
exiguus; omnium vero summ est ip(+ D. Adeoque (cum veraque
c proerettio arichmerica, ab intinire exiguis inchOdTA) CrUnETuM
OMMCS