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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 (shelfmarks Leibn. Marg. 84:1, Stück 2; Leibn. Marg. 84:1)
# Folio 120, page id 826605435:0140
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Curvarum EdBOVOIS,
dences, designandas supra docuimus:) Unde liguer, currx Pemi-
cycloidis secundariae parriculas, primariae parcibus aequalibus se
spondentes, ese uc particulas curua quadrantis FIlipseos respon-
dentes longiori semiaris parcibus aequalibus: FIlipleos, inquam,
cujus semiaxis minor, est D =C F; _ D 
+
2
di-
Bantia Foci a cenrO; (cujus quadratum quadeato semiaxis mino-
ris addicum, dac quadracu semiaris majoris;) adeoque
L
semiaris major; (nempe, si HaC, uE FO = B, 2d p C = D = B; CiC
FC = D, ad quarcam; eric haec quarta, Cemiaxis major:) Quod et
Tupra CracTIS Patet.
Hujus aurem quadranris Ellipieos particulis, quibus parricu
las semicrcloidis secundariae diximus proporrionales, non camen
aequales dicimus, LadCOQuE nEC EOTaM FOEIS) sune urique ad il-
laS, uE YB, ad A (parrem aliguoram ipsiUS D = FC:) ut ex jam
cradicis pater. HOc est, ut L f B ad A; (estenim y ad p, uE 2 et
ad D, quod mox otendecur:) sive ve 2 B ad D. Adeoque S AAE
quadrans ellipleos cujus conjugaci axes, ad ares conjugatos el-
lipseos nodo distx, (inc ut 2 B ad D: (hoc est cujus lemiaxis minoe
sIE 2 B = 2 F. 03 MaIOF 2 D L 2B= F C + pX:) FriE quadrans
Elle, currae semicrcloidis secundarix, aequalis; e partes parcibus
respectirae. Dux WVrennii nostri eradicis comparaca, invenio con-
venire.
Quod aurem y ad p, sit uE 2 A ad D; SC, RopuS et, probabi-
EUIT. OMNES P (EOE HUIMETO QUOFIn D SUPPONUNEUF PaETCS XQUI-
les 4) sunc series arichnerice proporcionalium quaru maxima D
cujus semissis (proprer cerminum minimu infinire exiguum) du-
cus in numerum cerminorum; extribet, omnium sum
mam. Sunt aurem omnes y arichmetice proporrionales, et qui
dem cocidem numere quarum icem cerminus primus est infinite
exiouus; omnium vero summa est ipsa D. Adeoque (Cum urraque
lic propressio arictimerica, ab infinite exisuis inchonta) erunE cum
OMBeS