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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 45, page id 85138403X:0061
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C A cesea quamvis rectam quae iplam non secet)
DEC2CDOTDF
conversa de
Ecribitur, eam raciemm ade harum quamlibec, vel quamvis
aliam hc descripeum, quom incer se habene distancia puncti D ab
illis rectis. Pc quidem (nam ex hoc adjungere non erie Fortan
incommodum) li circa rectum quae ipta (CCCE CONVETTaTUF CA-
dem C A curva; Differentia Cuperticierum, quam Ca ParS CurVa
quae ex uno rectae secantis latere lita est describit, e quam (vet
quas, si binis punctis secet,) describitillius curva residuum ex
altero secantis lacere politum, eam habet rarionem ad superti
ciem circa superius memorararum rectarum quamvis descripram,
(puTa qUX CIrCA A F,) quam haber distantia iltius rectae ad di-
ltanciam hujus à cenero gravitatis D. Ouodque de superticiebus
Eoca curra descripris dictum est, superticiebus iptius parre qua-
vis delcripeis similirer accommodabLTuI, LMVento PIIUS (Per ja
ETacICA) ICELUS PATEIS CCHETO SPAVILALIS.
18. Abloluro jam opere de gravicacis centro, tum curvee se-
micrcloidis C a (ig. 8. cum parrium ejus, inquirendo; deque
superticiebus iltius conrersione, cum circa A F, cum circa B F, sennconver-
delcripris: Desuperticierum hacum cenrris gravicatis inquiren- Sonirca
dum. Incipiemus aurem ab ea Tuperticie qua convertione circa
rectam A F delcribieur. Peripherias aurem hanc complences,
adeoque ex semiperipherias complentes illius semissem, a Cinou- quancum ab
lis currae punctis delcriptas, proporcionales eRse diximus (= 3.)
semipararabolae rectis Z X fg. 9. diamerro parallelis. Farundem
durem semipheriarum Momenca respectu rectae AF, cum eK
Facione cum maonicudinum cum distanciarum cenerorum orgui-
catis dependeane, suneque lxe ipsae centrorum diltanciae ab A F
recta iplarum peripheriarum radiis, adeoque e magnieudinibus,
proportionales; erunt ea momenta in radliorum racione duplicatas
hoc est, in duplicata rarione rectarum Z X fg. 9. Pemiparabola
diametro parallelarum; hoc est, in cacione circulorum radiis illis
descriprorum. Adeoque ea omnia momenca, ad roridem maximo
aequalias hoc et, momentum superticiei quae hac curva C A con
vertione describitur, in suo siu, ad momeneum superticiei Cy-
lindriex ex equalis rectae in distancia F C convertione, elt ut (O-
lidum ex conversione semiparabolae circa basin luam, ad cylin-
drum ex convertione circum seripei paralleloorammi circa eandem
basin, desctiprum; Hoc est, ue 8 ad 15 (Per PTOD. 2Y9. Arichm.
Entin.
F factae
dentrum
F distato
F18. 9.
vasset