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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)
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Et HINanSuOS.
 2a B+ B. quadeara ordinarim applicatarum in parabolae crunco
cujus alcirudo D = F C: lacus rectum parabola, D L 2B = pK; OF -
dinatim applicaca intima e minima, B; adeoque alcirudo abscista
5.
D = p. Siigitur hac ubique, uc YZ = V: a D = a: ordina-
cim-axplicaca in semicirculo, ad V: a D = 2 a B + B2: ordi
natim applicacam in hoc crunco parabolae; (IC A vel F B, ad quar-
Ea quXe IEA9; eM A V aD = 2 a B + B.
a D - a Dux ex hisce quarEIS
COnClatuF Fgura, ea est quam diximus aa C F B parallelooram-
u SC esle, ut est curra semicrcloidis protrectrae contractare
ad C. F circuli genicoris diamerrum; e parres parribus respe-
elire proportionales,
Hoc igicur inrerest incer curvam Crcloidis primariae, e se-
cundarix; quod Faciendum es, Ur ordinacim- applicaca in semi-
circulo; 2d ordinacim- applicacos, illic, in parabola; hic, in para
Colx rrunco: c daca resta; ad quarcas.
Si vero liben currae creloidis secundarix particulas compara-
re, non ad aris C F parces xquales, sed ad equales parres curve
creloidis primariae: dividenda erie C Z A curva in partes quor-
libet aquales inpunctis 2; adeoque C F inxoualicer in punetis
Y; Puca (sumpris p arichmerice. proporrionalibus, quarum ma-
Xima P = D,) CY = (; FC YY, uc 2, 3, 5, 8c. arichine.
cice proporrionales, qux omnes xouene iplam C F, dicantur
autem y. Potiisigitur ubicue D -
Dd PFOA =D = d = FY;
e y, Pro A; (& congrua reductione facta:) PrO AV
prodibie L BV:
ma cum A V
2
M2
L
D2 = 2 BD
772
aD  a
B2: (ejusdem DlunC FOF-
Ra = a R: qua quadtratis Fllipseos parricutns
carumve subcensas, agualibus semianis longioris parcibus respon-
dentes,