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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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Curvarum FuBoroS,
quidem in plario jacens, sed sensim in conrolurione (circa cre-
etum aximI) aliurgenS: prO variis aurem currae, five ad rectum
.I: CunduCEam, sive ad subjacens planum, angulis; variae Conchi-
TIO:VIM FOTIMR CHATCAREUE AEqUe, AIC BVEOTHeTI, MCNCUTATa Dy
ramide, meritur etiam ea conchiliorum spatia. Fic quidem de hac
spirali hactenus.
Pucaram hic atiam Spicalis Foeciem cradidisse; eam nemze
gox. ex conrolura Paraboloide Semicubicali orrum duceret. Cujus
ieaque curra quum Paraboloidis illius curVX aguetUT, quam X-
quilem esse rectae jam oltendimus; etium Curra Spiralis inde a
riunda, aequalis restae o. Tenderetur. Sufficiet aucem univertim
dixisse, spirates omne genus, ex hujusmodi planis (sive criansuta
Cinc, Cive craperia, vel parallelogramma, sive Parabolae, auc para-
Boloides, auc exiam hyperbola, aliave vel rechilinea vel milli-
linea fgurae,) Sc conroluris oriundas, curvas habere curvatis Fl+-
norum sic convolurorumm laceribus, uE AS, aequales; e quidem,
OppOsitO latere, uE A MI, in punctum concracto, spatium spirati
adjacens, hourae nondum convolurae semissem.
Reque hactenus Cpecimina cradidimus mechodi nostre, subcen-
Tarum opc, rectificandi curras.
Ouoniam vero, Tangentium ope (inmemoraco Scholio prop.
38 Arith. Infon.) id etiam tieri posse inbnuarimus: libet e hujus
it em aliquor specimina exhibere.
Aeque d Parabola inicium desumam, id ipsum Tangentium ope
demonstracurus, quod supra per Inscripeas ostendimus. Intelli-
Satur itaque in f9. 36. A T, parabolan rectam in verrice FAn-
ens, in punctis e quorlibet aequaticer diritas adeoque AC, five
do, drichmerice proxortionales, quae dicantur p; CaruIIque
conmunis excessus bOm EE dicaEuF A: PTIC AUTCM OFK d A
C3
adEOGUE (PTOPTEF ES = =P) tangenS 0S = V: = p2 L
+
V: L
+ 4p2. Occurrac autem qualibet OE, Proxima
cangenti Os, in C. PrIEqUC UE SE = Z p, ad 505 sIC DOLEEK A.
d OC = ,. V: L2 + 4 p. Sire AL, ad AN: LL + 4p: vel
Spirales
Liae
518. 33
Curva Pa
rabola.
Fig. 36