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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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C O M N E R C L U M
640
Dacum Muuerum cubum in duos cubos rationales dividere, wehich is impossible.
(Not meddline wvich the otber, as done already, at least in severat instances, by
Mons. LTenele, as pou lenore.) ec.
Alcerum id est quod de Fyperbolis habet. Obi existimac me fidem non habere
dictis fuis de cenero Graricacis in Fyperbolis Intinicis. Quod longe secus elt.
Duippe cxo ne suspicabar quidem; quin exerie bona tide Vir Nobitissimus, cum
ea libi perspecta dixerit, ec quidem d mulcis annis; nempe, in Hlyperbolis ince
Eris; (Torcaltis etiam ec in semihyperbolis, ucur illud nondum dixerit:) Vri nec
jam luspicor, quin quam sile tubjunsit qualtionem pocis sic solrere. Sed ee alia
ee specimina non pauca jam praestitit.
quamplurima, sire de Hyperbolis, sire de aliis iiem Geometria apicibus, vel
etiam Arichmeticis, coregia Pheoremata libi praello esse nullus dubico. Guorum
Ouam aucem jam exponit quaeltionem ( sp. 37. ) nempe Lxposita vera FIYper-
bola ABC, cujus Asymptota, NM, N O; quarum alteri, puta NO, parallelae du-
metricant aupcta.
TerunE. Neque enim racat ret opeta Breltum etie duco ad singulas minurias de-
Ccendere.
Cpraecedent ua HoH abrumllem nec minus Forcaltis elexancem,) Sibi repOnerE.
CantUr M A, HIB: PropOsitum est. sieUram A M FTB, (linea ZTy perbolica C3 TrI
Bus rectis AM, MFI, HB, contentam,) recta OR (quae sit ipsis HB, M A, pa
rallela, itasecare ut secmemum RC B, ad reliquum AM OR, sit in ratione
data: Sic Colro. Si daca rario sic CMabilis, VerIS expOnacur numeris inceoris, puca
uc 3 ad 2, vel uc a ad c; acque inter rectas NVLL, NM, inveniantur coc media
proportionales (Talcem, ex LOI ea quX OpUS CrIF) suol est uiriusque numeri 28
Gregacum una MMUS, Duca 4 = 3 f 2 -- 5, vel a F C = L; GuatI cercia (sive
qua ab a denominatur) ab NVFZ; vel secunda (sire qua ab e denominacur) ab
NM; SIE N~ DICO; Rectam E R (quae a putteto L, 1BH LL B, vel M A, du-
cacur patallela) rem imperacam praeltare. Si vero daca ralto  Mmettabilis, Pocerie
id ipiuus pratcath Loxarichmorum ope, quai peaMe, utur non secundum Gco-
Reliqua quod actinet; vel jamdudum de illis dietum ete, vel oiu laltem po-
Cacerum, uc Nobilistimo Viro rices rependtam vitum clt, Oualtionem hanc
Nempe, FExposita Conchoide A O, cujus vertex A, Polus P, regula CR E (rectant
AP in puncto C secans ad ansules rectos) si centro C duentur quadrans cireul
AR