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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 26, page id 85138403X:0042
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tC.
ac distanciarum series in seriem moenicudinum respectire du-
eta, dac seriemrR =, - p 2, 2 r R= = 8γ3, ZrR = 27r, _C3
hoc elt seriem Primanorum dempra Cerie Terrionorum, quae ad
correspondenrem seriem sE qualium eAt ur Z = 2 id 2, hoc elt uE
2 Id r, Sire uc 2 ad 4. Dux quidem seriees cum sic momentis
dictorum Circulorum respectu Centri sphaerae proxorcionales.
(quorum ucique rationes sune ex racionibus magnicudinum e
distanciarum compoliex;) erune eorundem omnium in luis locis
momenta, ad momenta tocidem maximo aqualium in maxim
diltancia; hoc est, momentum Flemisphaerii in suo sIcu, ad mo-
mencum circumscripei Cylindri ex puncto C suspensi, (respectu
CeHEEI (Y;) uC F ad 4. LiCt aurem magnicudo ad magnicudinem
quod jam octensum est) ve 2 2d 3: Lrgo, PrOPrC: 3) 2 (3,
diltancia ad distanciam, uc 3 ad 8. Diltac ieaque centrum
sravicaris Hemisphaeriia centro SFhaera, 3 Radii. LEpriuS.
72. Eclmili processu (juxca ucramris niechodum) de CenErO
pravitatis in aliis sxhaerae partibus judicandum est. Nempe idem
ese centrum graviraris Segmenci Epherici plano 22 abscilla,
acque seomenti sc excavaci Cplindri eodem plano abicillae. Sed
e himilicer judicandum est de cenero seomenti Spharici duobus
planis axi rectis incerjecti: Fc quidem sire in eodem sine live in
oxpolitis Flemisphaeriis ea plana; si _ circa reliquum Hemisphxe-
rium constIEUaEUE Cy lindruS GIMIITeT CxCaVAEUS. CUI IEaque CUI
Crlindri, cum allaci Coni vel fructi conici magnicudines d centra
Gravicacis non ienorentur; nec ienorabitur centrum gravicatis
tixurae excaracx, adeoque nec Segmenri Sphaerici planis quibusr
curque parallelis absciitr.
73. Dacis aurem segmenei SphxericiZZ C (sive F’emisphx-
rium sic, sive majus aur minas hemisphaerio) cum magnicudine
cum centro gravitatis; A eidem adiciatur, vel auFeTAEUF, COMUIS
22 G, vel 22F, vel aliud quodvis solidum cujus cum magnicudo
cum cenerum gravicarisinnorescuns; dabicur et agoregati vel ro-
Edui cenEru GraVICaTIS. Fe quidem, quantum ad Eectores
Sphaericos, UE C ZZC, sune illi respectivis suxerticiei Sphaerici
seomentis 22 C, adeoque _ Y. C rectis, proxortinnales; (2qua-
les urique ? Radii in illam suxerticiem du to: ) Suorumque cen-
erorum gravieatis a centro circuli distancia, unc rectis C F (E
incetligacus F punctum medium iner C et L) proporrionales;
equales