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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 11, page id 85138403X:0027
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crrculi C F centrum ocavicatis punctum F (in circuli diametre
Bali Cycloidis parallela.) Duoniam vero momentum semiereloi-
dis ad momentum Cemicirculi, respectu linca C I; elt in racio
ne composica ex racionibus magnicudinum, ec diCtANEIAFUM CCHETI
gravicacis ab ea lem aquilibrii linea C F; acque ex cildem r2
eionibus, componatur Patio folidoium ex eorundem PlaNOTUIL
circa C. L convertione genitorum, (ue supra infinuarum elts
29.) eadem enie momentorum ratio, acque ratio solidorum lic
GeniTOrUm. NNempe, UE 9 AF. 9= 4 C F 9 ad 2 C Fg. VC8
30. dictum est.
35. Ductâ ieaque C e hali Cvcloidis parallela, quae sE ad
C3F, UC OAL 9 4 C F9 ad 2 C F 9: Si incelligatuE ex
puntoe suspendi aequalis semicirculus, aequiponderabit ille se-
micscloidi opposua in suo sicu. Ouoniam vero maenicudo semi-
crcloidis ele ad magnicudinem Pemicirculi, vE 3 ad L3 s FUIaEUE
(in ucroris semiercloide) recta OT (Da( Parallela) quae Hc ad
GC, aEx 2d3; ee ducatur recta r y sectae C F parallelas erie
centrum oravicacis iltius semercloidis in recta PV.
36. Ponamus deinde Cenerum librae in F, ec rectam AD li. Duamne
neam aequilibrii. Ouoniam momentum semicreloidis ad mo. distat ab
mentum Cemicirculi, respectu rectae AD, elt in arione com AF.
Polia ex racionibus magnirudinum, ex diltantiarum centri gra-
vicaris ab eadem A D; adeoque in eadem ratione cum Colidis
ex convertione circa rectam A D Factis, hoc est (uc supra dictum
elt824) uc 5 2d 2; Si in continuaca GF, TUIMAEUF FF, GuX
(ic ad LC uc 5 202; Temicirculus inpuncto F, aequiponderabie
lemerclordi in Tuo Ceu: Cumque semicy clois sic ad Cemicireu
Tum ut 3 ad 23 E Furratur (in recta F G) recta L A, Qu∞e HE dd
F F uE Y ad 33 acque a puncto a ducatur bah Crcloidis parallela
AS (recta YY Occurrens in s,) erit centrum gravicaris sem
crcloidis in recta a s; adeoque in illius puncto s.
37. Acque exiisdem principiis, eodem fere procestu, colli- Centrum
oecur centrum gravicatis segmenci C Z. T. Pric enim momen- cravitatis
cum segmenti C 2. Y ad momentum segmenci C Z  respectu sermenti
lineae aequilibrii C F, ut Colidum iltius ad solidum hujus con- C Z X.
versione circa eandem C F Factum: Sed haec ratio dari suppo-
MLEUF CX S 3F: ergo _ illa: FAO uE a ad B. Sed e data est ratio
magnicudinis ad magnicudinem, Per 823: FAOhXCUE a 2d 7.
DATUL
C+ DC.
e