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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 HNanOuOS
hoc est, ur quadratorum aequalium, quadraris arichmerice- proporrio-
nalium auctorum, radices cquadraticas: (Ouas esse uc ordinatim-
applicatas ad conjueatum axem hyperbolae, prius demonstrave-
eatm PFOp. 35, _ 42, Con. Sect.) In Pacaboloidibus aurem Cubica-
libus, Biquadraticalibus, (50. ue radices quadrarieas quadratorum
agnalium auctorum quadratis differentiarum Cuborum, Biquadra-
torum, 5c. Ouarum quidem suhcentarum omnium agoresacum
cum perpecuo minus sic ipsa curra, sed ad eam ita propius sem-
per ac cedat ur differentia, daca quavisminore, canciem deticiac:
Fc Tangentium parirer ope haberi simili modo possic rectarum
summa quae differencia, data quaris minore, candem CurvaM ex
cedac: Polle hinc terminos veris quancumvis proximos inveniri
intra quos curra longicudo vera caderec: (Adeoque in infinieum
procedendo, ipsam curvam extribicum iri:) docuimus.
Fir quidem, quum Scholium illud ibidem inserebam, currente
prelo, (unde in Proposicionum censum non erat redactum,) ani-
inum habebam speculationem illam, cum per ocium liceret, retu-
mendi e perficiendi. (Animadvercebam enim jam cum, rectas ad
curras esse, uc liguras congruas ad figurarum quasi Pruncos: sed,
ut quas fguraS ad GuOSLFUNCOS, PTOUE CujuSqUE CUEVX NaTuTa PO-
Auler; uE X, quaenam ex Aouris illis cum eruncis respondentibus
nocam rationem subeane; considerandum adhuc reltabat.) Sed
Cuc clarus, quod aiune, clarum pellic,) aliis se subinde interxo-
nentibus speculacionibus, priorem illam relumere negligeban,
donec praevertens Nelius nolter me exciravit.
Selegie aurem D. Cnlielmus Nelius, Equitis Pauli Flius,
(num ex nostris an tam nactus, nescio,) Curram eam quae ordina-
rim-applicacarum difterentins habeae ordinatim- applicaris in pa-
rabola proportionales; quarum ieaque quadraca quadraris requali-
bus aucta, erunt icem arichmerice proportionalia, eorumque rau
dices ue ordinacim- applicACA In ParAbOIR ErUHCO; _C PFOPEerCA, UE
parabolae eruncus ad parabolam, sic curra illa ad rectam. Nelium
secutus trreminsicem, ee Post illum IIIus. Bronnherus id ip-
Eum demOnstrarIHE, ec candem ego; neseio an e alii. Ouo pri-
mumcempore invenit Nelius, non cerrus scio: vulgavie aurem
sub sulii vel salcem Augulti mensem Anni 1657. Primus (credo)
omnium qui ulli currae aequalem rectam altignavit.
Vertente Anno, mense sulio 1657. Curram Crcloidis, axis
Cur