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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 69, page id 85138403X:0077
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DE CTCEOTDE.
a (PrOPTer D duplam rectae C: C B19. 7.) duplas rectarum Z Y
ti8.7. ad eoque lingula V: D = a: in L. V f9. 10. Guadrupla Cin-
gulorum BVXZV A9. 7. Ec (proprer alticudinem C A Ag. 2O. Qua
druplam alticudinis cBAg. 7.) omnia omnium sedecupla (ett c-
nIM 4X4 = 16:) Fc denique (proprer eandem AC =+ 4 c B) diltan-
ciam cereri graviraris a cCf9. 20. Quadruplam diltantiae a Bb
H9. 7. CrIE (PEOPFeF X6X4 =64) momentum aai momentu UE 64
ad L. AdeOQ; OmneS V= fic. TO in V: D ?= aE: in 2a, = sDF; (nem
De ad momentum omnium VZXZYXF V A9. 7. hoc elt = D= pCF
Praeced. UC64 dd T.) EEproprerea, Facta applicacione dd D, Om-
nes VZ (H8. 20.) in 2aV: D a
bina rectancula (∞ 5B MeOFALA) 5 D3. Qrod a S4 PrOPOnITuIE
anquirendum.
74. Cumisitur sine omnia Zuq (Per 59) FD, & omnia
ZV4 (per a63) =D P= -4D, e denique omniA 2VL XZV (Per
73) SD. Frunc onnia VZ9F2VZ+Z0tZ09f9. IO. =DP2- 228
D. Ommia vero AF9 CunE ED P2 = LP X2D. Forum isieur ad
haec racio constac; nempe uE = P = = 228 D 2 2d = P 2
siVe UC 45 PZ = 256D 2 ad 45 P 2. Duam quidem ean
dem esse quam habet momentum superticiei ex lemiconver-
sione currae C A H9. 8. circa CF, ad monentum currae serieplin-
dricae ejusdem balis, altitudinis vero 2D = C A respectu rectae
CF sire plani per axem; jam 58 ostensum est. Plt aurem isti.
us magnicudo (per ∞. 16) P2= ER P (IVC P= =EDP; hujus
autem P= (quod nempe AE ex altitudine 2D, in semiperi
Pheriam radio AF = =P descripram:) adeoque illius ad hanc ra-
LiO, UE P = 4D dd P, sive uE 3 P= 4 D ad 3P. Ideoque pTOPtCF
-42
45 D2 = 25bD2 45P2 - 256D
45 P2
45 P = 260DP distancia-
rum cenerorum graviratis racio est, ut 45 p =  256 D= ad 45 PE
6ODP. FH auxem ceneri gravitatis expolicae currae semics
lindricae a plano per axem diltantia D, (nempe radii AF = Z P C~
ParSgUX eAt ad EOFAMI, ut chorda ad arcum, hoc es uE D ad ZP;
EEPrOPtCLCS
45P2+256D2
45 P= =60DR D distantia ceneri Gravitatis su-
perficiei