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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 43, page id 85138403X:0059
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DC CLCLADE
circuli radiorum Z. S ad coridem circulos radii CF; hoc eAt, UE
hemisphaerium ad circumseripeum Cylindeum; hocelt, VE 2 ac
3, uc prius:) Adeoque omnia criangula 2.58 (quadeororum di-
midia) porrionem complentia, hoc est ipla porcio cylindrica, ad
eundem rectae C F cubum, uc x ad 3. Ec consequenter, Bilineum
Fi C Y F0. FX. dd eundem C F quadEaTUM, uE + ad Z: FCBili-
neum A Cvf8. 10. (prioris duplum) ad idem quadeatum, uE
2 2d3. Floce, =DL, Sive = R2
24. Fe simile de porcibus fiet judicium. Cum enim criangula
2.50 Ag. TL. Sine ad invicem uc circuli in hemisphaerio; erit pOr-
tionis segmencum Z.Son, ad tocam porcionem, ue respectivum he-
misphaerii seomentum plono abscillum, ad cocum hemisphaeriums
adeoque maenicudinis nora. Cui porcionis segmento Z.Son, I1 ad-
dacur prilma 2. 50E2C, haberur Peomentum n50(2C; dd eoque et
iplius ratio ad D. cubum diametri circuli genicoris: hoc elt, ratio
segmenci C Z T, tum ad rocum bilineum FC Y, cum ad quadra-
cum rectae C P. (Bilinei aurem iltius FC Y, lacicudo maxima
sive maxima alticudo ratione basis FC, est R= Z C F, quie oui-
dem ilsic contingie, ubi SIIIEuE C Z = C F N = = D ~ Z; hOc
est, ubi C Z ad C F eAt, ue sinus rectus graduum 45, ad Ra
dium: quod camen ad praesens negorium cogniru non viderus
necellarium.) Porest aucem idem etiam sic colligi. C um 28 P2-
rallelooramma, sine ubique rectarum 2 S momeneis, respectu
rectae Cn, Proportionalia, (UE DaTCES) FrUNEK S5EZC scomen
ea, cunc incer se, cum ad coram xpFC portionem, uc momenta pla
nOTuM KSZC respectu rectae nC, cum incer se, cum ad momeneumm
_ FC quadrantis. respectu ejusdem _ C, (quam 567 _ (e940
exhibendam docuimus;) eadem igitur e ratio planorum C X 2
Ec quidem, cum omnium rectarum 25, illa maximum, respectu
Cn rectae, Tortiaturmomentum quae grad. 45 subcendic; Ca
Timilirer qua huic correspondee Crit OmniuM Z Y MaNIMa
adeoque bilinei C F Y verricem delignabit.
15. Cum isicus habeamus (A8. 20.) cum Trilineum C Z A F
= 2R P in 8R per a 9; cum Bilineum CAO = R~, Per ~ X3:
FOTUM aGGreSATuM 2 RP in 2E p =, aequacur facto ex omnibus
parciculis currae C A HS. B. in suas respectire distancins Z. Y.
10D
F18. 10.