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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis (shelfmarks Leibn. Marg. 100:1/2, Stück 2; Leibn. Marg. 100:1/2)
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A L G F B R A.
Cap. L. IV.
legmenta) BI = 2: AdcoC C11 = 1 a.
nis clacae. (Ouae omnia daca sune, cum suis respectire sienis f. -. ) FC Cqua sita
Cumque ex Datis non constet, num sumendum sit P ulera B (in ipsius AB
continuatione,) auc citra B (vertus A:) Supponemus ulera Bjacere; (adeoque,
si concrarium esse rerum continsat, id Facta Tolutione patebit ex radieis a ralore
negatiro.) Adeoque AI (= AB F BI) = B + a.
Tcerunque, utracunque fierie ipsius L positio (ultra vel cirra B,) puncti H
posicio porest esse vel similis (pura ulera vel ciera C prout L est ulera vel citra B)
vel contrarius (Duca II citra C, ( L sic ulera B; vel CI ulera C, I sic citra B.)
Priori catu;ra idem habebic sionum cum a. Adeoque, cum ponatur A T =- B F a
erit AHI (= AC, f CHI) = c F ra; ECPHI (FC + CII)=
Sed catu polteriori; ra concrarium habebit signum illi quod habet a. Adcoque,
cum ponatur AI = b F a; erir AH = C, Ya. ET FH = f = ra
Tum (propter similia Priangula) erit
1
Ot AI, ad AT: sic FFL, adt F D. B cr. loci
FIoc est; c = ra. B = a:: f+ ra l. d.
Adcoque (factum ab excremis aequale facto a mediis)
dc =rda = bf. + fa F rb a =raa.
Ouod, rice ordinatum, duas exhibebir Ouadraticas equationes, (duobus illis cati.
bus conrenientes. ) Ft (quia Problema neurrum. exeludit catum) utramque uti
lem. Malo aurem ucranque separatam conserrare, quam ambas in Biquadratica
contundere: quippe si hoc lacerem, nesorium miti tacelserem, caldem poltea sc.
parandi.
Oxe priorem calum respicic, (ubi L, II, similem Corriuncur policionem) haec elt;
e
+B
Cujus radices duae, suneduo ralores iptius a = B I. Nimirum
rb. + ra -s = V. rrbb. + rrdd + ff- 2 rrbd - 2 raf - 2 1bs + 4rac:
Oux casum posteriorem respicit (ubt L, F, Contrarium habent Ltumt) Hal. CII.
111 3
aa  ba = - d 6.
Cnsus