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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 44, page id 85138403X:0060
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DF CTCLOLDL
POTA VerO CUrVa C A  2 D  4 R; IN ReCLAM A F = Z P docta,
est 2 R P. MOMeNEUM IgIEUF CUrVa C AHg. 8. In iuO SIEU, ad
momentum ejusdem ex puncto a sulpentae (respectu C F rectae)
eAt UE 2 R P = 25. R ad 2 R P, vel uE Z P = = R dd = P; hOC
eHt, VE A F no Z C. P, dd A F. Adeoque centrum gravitacis currx
C A A9. 8. a recta C F diltat, ea partC rectae F A qua SIC ad EO-
EaM VE F A _n Z F C ad F A. HIOC eAt, (ducta A a rectae FC
Parallela,) ab A a distac, ZF C = Z D: Tantundem Scilicet
quancum supra invenimus ( 3.) aB A F diliare. Adeoque
TuMPEIS TUM A S, TUM AF, = Z C F, ductisque sA, F γ, (rC-
atis AF, F C, parallelis,) se decullantibus infD, eric D cen
ErUM OrAVIEaTIS CUIEVR C A. F H9. 8.
26. Sin porro, pro rectis omnibus ZV _ Zv F9. 20. Tubsti
cuantur alixe quae ad has sint ut percipheria circuli ad eju sdemra-
(quae est magnitudo AguTE
dium; adeoque prO 2 R D  2b R2
ex erilineo e bilineo Ag. IO. Composita;) TubstIEUAEUE 2 PE 
ib RP; habetur superticies quae ex convertione curra C A A∞. 8.
circa C F delcribieur. Aquat ieaque duo quadraca basIS inLCDEX
ereloidis (hoc est, Peripheria circuli genicoris) minus 3Z geni-
coris circuli. Adeoque (cum, per  5, superticies ejusdem con-
vertione circa AF descripra sIr 3Z geniroris circuli) superticies
dux ab eadem curra C A Ag. 8. descripex, (alECTA CIFCA AF.
alcera CIrCA C F,) Cimul CumPEX, Xquane praecise duo quadraca
balis inceerx crcloidis sive peripheriae genitoris circuli. Puca, (1
uc in fg. 22. incra semissem quadrari cujus lacus intelligatur
2 P, delcribatur semiparabola aeque alca, balin habens 2 D.
dirimetur semi quadratum illud in duas partes, quarum alcera
uni; altera reliquae, superticierum illarum CurVaTU aQuaEUF.
Sin converri incelligatur, illic tota A CD, semieroloidis AC
duplas hic vero ejusdem item dupla, nempe AC intra balin con-
cinuara donec productae C. F occurrar; pro Cemiparabola ex lemi-
quadraco, integra prodibune parabola _ guadratum.
27. Completo aurem parallelogramo Fa Ag. 8. Dua C A
curra, circa Ra conversa, describitur superticies, est aequalis ei
quae ab eadem circa A F conversa describIEuE; (pFOPTCE A S
 AT:) Oux dutem ab eadem circa C a converta describitur, est
dimidia illius quae describitur convertione circa AF; (ProPIeK
Or duplam rectae D g.) Ec universalirer superficies quae d curra
Supersioies
conversione
CireaC F
descripta
E18. 12