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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 (shelfmarks Leibn. Marg. 84:1, Stück 2; Leibn. Marg. 84:1)
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DE CTCLOIDE.
superticiei semieylindricxe recta C A aequali descripex, distantiam
a convertionis axe habeneis iph FA aequalem; uc omnia quadraca
Vo fig. 20. ad tocidem quadraca A F; hoc elt, ur omnia VZ9 +
2VZ XZ0 + 209, ad coridem BF9.
59. Duam durem habene rationem omnia Zug ad omnia AFq, AC
aiD= a2
colligieur. FAt recta L v=
(DeF = IY,) er902V9=
22Sed omnia a= D ad rocidem D =, SUNEUE X ad 3; e
a2 D= a
nd
omnia at ad coridem DE, uc 2 ad 5: EFBO OMMIA a2 C = - a= ad 10.
a2 D 2-- a
tidem DF, uE = = : ad Z, SIre UE 2 ad F5. Adeoq; omni:
ad coridé D=, hoc est (PFOPEeF C A = 2D) ad 2D, uE 2 ad 25.
Ideooue =, D= agoregacum omnium Lv9.
60. Deinde omnia VZgad coridem AFG, sunE uE omnes circuli
radiorum Z V ad coridem circulos radiorum AF: hoc ett, ut soli-
dum convertione crilinei C2 AF circa C A deseripeum, ad soli-
dum descriptum Cunili convertione circum (cripei Parallelogram.
mi; hoc elt, ut momentum ejusdem Trilinei ad momenti cir-
cumseripei Parallelogrammi, respectu ejusdem C A rectae;
hoc est, ue momentum Frilinei B C C f9. 7. dd mOmentum B C
Parallelogrammi sibi circumferipri, resfectu rectae cB; hoc eAt, uF
Px, 8D ad P2. Nam crilinei CBB mionicudo eA =P =; ejusque
centri gravicatis a cB distancia, (eadem urique cum diltancia
ceneri graritacis crilinei CBF ab eadem cB,) CA =D, (Per 89G;
Adeoque momentum =D 2, ED = ZD: Qod quidem momentum
Si ex Parallelogrimmi CB MOmentO, S= DP= = sDPX SP, aufera-
CuF; relinquit = DP= =EDC, momencum trilinei BCC respectu
BC rectae. Mod icaque ad- = D P= momentum C. B parallelo.
grammi, estuE P= = 8D ad F=, (IVC UE F A9-. 2FC9 ad FP9.
62. Quod iptum sic etiam probamus alias. Si duci incelli-
Batur, in H9. 7. recta C A (quam per B crantituram cerrum elt)
Priangulum reccilineum C e L xquale fet Trilineo C Z A F mi-
Cilineo: Quod quidem mistilineum a reccilineo in hoccancum
differe, quod seginentum illud B A curra _ recta comprehen
LUM, A SITII B A In SIEu BC CTANSFCrEUT. Ex hac aurem dicei sC8.
menti crarstatione, quod oricur difcrimen hoc est: Solidum ex
convertione crilinei misti circa FC Orrum, eA (per 583) 21
2R= P, siIVCEP2 -= D=P; Solidum seu C onus ex Limili conrer
Tone
F18. 20.
F18.7.