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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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Corvarum FVboroIS,
quidem in plano jacens, sed sensim in convolutione (circa cre-
Etum axim) aNTUTOCnS: PTO VaTIIS AUTCIM CUEVX, Sive ad rectam
ci: Cumductam, sre ad subjacens plarum, angulis; variax Conche-
liorum Formx enascantur. Aeque, hic hypocheli, men(urata Py-
ramide, meritur eriam ea conchiliorum spacia. Fic quidem de huc
spirali hactens.
Pucaram hic aliam Spiralis speciem cradidisse; eam nempe
quae ex corrolur a Paraboloide Semicubicali orcum duceret. Cujus
leaque curra quom Paraboloidis illius curVR AGUCEUF, quaI X
qualem esse rectae jam oltendimus; eriam Curra Spiralis inde o-
rrunde, aequalis rectx ocendererur. Susticier aucem univeclum
dixisse, Spirales omne genus, ex hujusmodi planis (Gvecriangula
Sine, sire Frapezia, vel paraltelogramma, live Parabolae, auE PaCZ.
Boloides, nur etiam hyperbolae, alixre vel rectilinea vel milti-
tinexe fgura,) sic convoluris oriundas, curvas habere curratis pl.
Borum lic convolurorum laceribus, UE AS, aequales; e quicem,
opposito lacere, uE A M, in punctum contracto, spacium spicali
adjacens, Rourx nondum convolure semissem.
Acque hactenus specimina cradidimus methodi nore, subcen-
Tarum ope, rectificandi curvas.
Ouomiam vero, Tangentium ope (inmemorato Scholio prop.
38 Arith. Infin.) id etiam heri posse insinuarimus: libet e hujus
ic em aliquor specimina extibere.
Aeque a Parabola inicium desumam, id ipsum Tangeneium ope
demonstraturus, quod supra per Inscripeas octendimus. Inrelli-
satur itaque in Ag. 36. A T, parabolam rectam in verrice FAr
gens, in punctis e quorliber aequalirer divisas adeoque A e, tive
do, arichmetice proportionales, quae dicantur P; CarUIque
COVTUIS exCCNUS BOL EF dICAEUF A: FRIE aUTCM OE= d A
=7; adeOUE (PTOVTEE CS = = P) tangenS O5 = V: 4 p L
a
FV: Z. F 4p2. OCCUrrA aurem quaelibCE OE, PrOxima
cansenti 05, in C. Fritque UE SF= 3 p, ad 50; sIC BO=EF = A,
ad Oc =, V: L~ + 4P. Sivc AL, dd AV: L2+ 4p: vel
Spirales
aoda
18. 35.
Curva P
rabola
i
5. 3