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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
# Folio 839, page id 851387705:0859
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PrOP. LLXII. DeCalculo Centri Cravitatis.
BVZR
39
BX, SCU X d, CUrVX; LUINC LOHCCI BV -, seu
estus series seriei subsecundanorum reciproca.)
hoc estu ut Y 20R, dd 2 A, DC B, ad
dupla rectae Aa.
Adeoque; S rectae VO, vet OC, Lingulae;
d
respondentes; (hoc 17 8.
cidem B; incellisaneur
iptis aO seu VO roullem, fig. 277, 178. reclann La copenctos.
8.
e A
aequales; es Tumaneur ubique, ut VD, ad a P, Seu V P: SC aO, seu VO, ad V co,
ad. L BM
nes illae b8, seu 3h; hoc est, (in parcibus intinite exienis,) omnes illae BX,
Peu Zd, cueram Ar complentes; ad omnes illas VO. Peu OC. complentes re-
etam Aa; hoc est, ipsa A7 curra, ad rectam Aa: uE omnes illae V c Fguram
PrOD. T. hujuS.) ut L ad = 5 f L = 3, tet ut L de L. Adcoque Ar curra, est
incerminabilem A a OC COIMPICHLES, ad omnes illas VComplentes Rectangulum
AaOO; ITOC CA, ut Igura illa incerminabilis, ad Mecipcum parallelogrammum;
FIOc CA, ut Reciproca Secundanorum series, cujus index est - E; ad congruam
Aqualium seriem, cujus Index est =0, (Det det. F, 2. hujus.) hoc cst (per
Vel etiam; eadem Parabola inverso litu polita, ut a n H, fs. 179. ductoque ad
eandem diametrum Semicireulo ABa: Si lumatur, ubique, ut V B ad V 2, Sic
VO seu a0 ad Vo; (hoc ell, ut s = Y vh ad Y 2B R, RC B ad BY = :) ba
bebitur eadem qua prius figura incerminabilis Aa Oc: Reliquaque consequen.
cur ut prius.
Similiter octendetur (in parribus,) curvam AB, ad A V rectam; este, ut est C.
figura A V coco interminabilis ad A V OO rectangulum
Fig.
17
EE consequenter, si incelligatur A a O c (figura interminabilis) recta V a (C. 178, 179.
cari in ratione data: in eadem ratione secabitur, in b, curra A +.
Duo autem secetux A a Oa in ratione data; lecanda erit A a recta in ejuldem
racione duplicata. Incellioe, si rario data sit r ad R; Licgue AV ad Aa UC 
ad R2; exit A V coco, ad R aOa, (adeoque Ab curra, ad curram A7,) in daca
rationer ad R. Eco enim AV (=2) =p (hoc est, ad Aa = 2 R, in r2.
tione