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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 902, page id 851387705:0922
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De Calculo Centri Cravitatis. Cap. V.
. red. aliatve submulipsicata; erie n = RY , vel n = R Y =, alque siC porO.
Adeoque
au e2
3F
∞T
X
∞=
aRY
2x
reZ1 7
au e
3
52
5RT
esRT
C: Arque tic porro, uc casis postularerit.
7
Sicreseant denique M T seun, in angulorum a ratione aliqua quxe composica
Tit ex mulciplicara e submulciplicara; pura, subduplicata criplicatx, teu ut
Va3: Eritn = RV p =  RV; adeoque
35RZV
25R Y
a
3- VX, d
ese
nXZ a y R Y
3R2
2∞ RZ, de
3F
3 ∞a V : Et similicee alibi, PrOur
cujutque compoticionis eradus postulaveric, mucaris mucandis.
Origicur habeatur summa Omnium  p; hoc cst, ipta tisura Spiralis, quo-
cunque demum mulciplicatae seu submulcixlicatae seu ex his compolicae racionis
ractu creseant MiF Seu n: id Faltem requiritur ut habeatur Lumma omnium a 2
d
Eomn. a  vel omn. a velomn. an vel omn. V3 a2, vel omn. a3 aliave. istiu-
modi sumima prour res postularerir: (Quod universaliter obtinebitur per PrOP. L.
hujus.) uippe haec lumma (Des analogam iplius P poteltarem dirita) ducta
in =RF, vel (neslecto tandem Y, ob cautas SF. prOP. praeced. traditaS,) in ZR;
extibet Spiralis Fisura magnicudinem. Quam et auce habuimus S A.
Ve autem habeatur summa omnium , vel omnium n V
 hoc estur illi-
us tigurae spiralis mOmenCUM ResPeCtu PMF, vel P. MC; adeoque (momento
per magnicudinem diriso) Diltancia Ceneri gravitatis ab illis rectis: Id requiritur,
ut habeatur summa omnium a 3 s, a3 N; rel omnium a s, a_; vel omnium ads
a X; vel omnium s V a 3 X V a; vel omnium sV 3 a3, X V3 a3, (hoc est, omni
um aS, a X;) vel omnium sV a3, X V a 2 (hoc est, omnium a  SV a a X V a;
aliave istiusmodi summa proue expolitus calus postularerit. Onippe haec Cumma
(per analogam ipsius F Porestarem dirisa) ducta in = R Y, vel (neglecto Y
in :R; extribebit cocius momencum respectu rectarum PMF, F. MG; atque ad
tas aur illas parces, proue tionum  vel  praeraiverit; uE ad prOp. praeced.
ottentuum est. Onde criam (ut dictum est) colligitur Ceneri graricatis ab illis re-
etis distantia.
Ouo pacto autem habebitur tumma omnium a s, a x; rel omnium a = 5, a = N ;
rel omnium a 3S, a3 N; (ODC PTOD. 1O. hujus,) ostentum est ad SF. FI. DrOP.
praeced. Duod etiam (ut ibidem monicum est 5 FI.) ad alias ejusdem a poreltates
(indicem habentes numerum incegrum) concinuabitur; pura, ad a ES, aE ; a35,
a3 X; a 5, a X; dc.
Ouodicaque sucticiet casibus eis omnibus, ubi BonuntE MF SCu n crescentes
vel in ratione angulorum a, vel in horum ratione duplicaca, criplicata, alialre
mulciplicata. OEpatet.
Veleriam, in iptorum a ratione subtriplieata, auc subtriplicaca mulciplicata.
Ouippe L Sn = RY 3 , veln = RV, ec. in horum Cubis, colletur R a-
diealicatis nota ; nemre nd =  R vel n3 =  R2: et sie in eareris: A.
nST, AS RT n3 XTC aN RF
déogne
a X R
3R2
3P17 3R 3~ iv
n3 5E a7 5RZ n3 p Y
3P
3P ii et sic in careris. Oux ingue omnia opo ejuldem prop. 10. extiberi
poterunt; uti ostentum ett.
Verum
a 5RZ
902