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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 66, page id 85138403X:0074
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218.7
DE
CXCLOIDE
miC B, respectu ejusdem C F, eA, ?Dp. = = DP x FP. HO-
rum momentorum differencia ;= DP 2 -ZD. (cum ex sola
crilinei BB A in sIEuM BCC. ETAMCLATIONC OTIATUE) A Pee
=DP- ZD2 (crilinei BC C mognitudinem) dividatur; PFO-
dibie
op2
2
6D
mensura promocionis ceneri gravitaris crilinei
BB A in sicum BCC ermsaci. Hlujus isicur semissis
P2  8DE
8D = 16D
eric ejusdem ceneri a cB distantia: Ouxe in ZDP -ZD = magni-
cudinem ducta; dac e D P= : B ejusdem BCC crilinei mo-
meneum respectu cB rectae. V’el, quod eodem recidit, diffe-
PEHEIR MIOICHEOrI iNVeNCa, Z DP= = 2D3., TemiIIS  DP2
CD, est erilivei tramslocaci momentum guaetirum. (Nam Ouo-
e
cieneis dimidium, in Divisorem ductum, resticuie Dividui se-
missem.) Inde eadem quae prius oritur ratio t D D = = = D ad
EtDP=, sVC FZ =BD= ad D =; GuX  6O quaxe rebaEUT.
63. Hlac itaque ratione inventa, sic procedimus. Guadracum
AF Hg. 2O. CHt = P = quod duCtum In C A = 2D, dac ZDF=
aegregatum omnium AF9. Si trac icaque (proprer racionem mo
AOInVeNEAM) uE F= ad Y= =8D=, SIC =DPZ ad quartUM; CTIE
illud : DP2 = 4 D dooregacum omnium Z. V 9.
64. Supereltue inguiramus, quam ad eadem omnia AFq, Fa-
cionem habeane, omnia bina rectangula 2 V Z XZ. vHs. 10. (∞
SBMCMOTAECA;) hoc ele, omnes VZ in 22v, hoc est (Per = 1Y
omnes V Z in 2 a V: D-a
: Hoc est, omnes VZ in V: D -- a
in 20. Ouam racionem his passibus inrelligamus.
65. Recta ZV crilinei CZAF A9. 20. Tunc rectis VZ crilinei
BVcC Ag. 7. Proporcioniles: Irem rectae CL =2a Hg. 10. rectis
BY H8.7. EE V: D2 = a2.
V
rectis ZY quadrancem CbC com-
plencibus provorcionales. Omnes isituF VZ in
V: D== a2
: SunE
ue omnia rectanoula V ZXZ Y A∞.7. Oux icerum in 2 a dueta,
sunc ux horum rectarigulorum momenta respectu rectae FBKP. 7.
Ouonrum autem sic horum omnium momeneum (ic colligimus.
66. Incelligatur primo super planum crilinei C L AF H8. 7.
eriei lemicirculum C b F ad angulos rectos; ita quidem uE C L
dis