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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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L C F B R A. CaP. L XXXIV
Alsebrilta. VE qua expOnentS habeantZ, 3, 2, 3, ecc. aut etiam aliter inter 6, l, L
3, 4, eC. interponendos. Ouibus detignentur Aquationes inter Cubicas de Cna-
drancas intermedix, item inter Ouadraricas ee Laterales, similesque, e ctatim,
receptaruII.
inter Laterales de Monadicas; Ouippe talem hic reguisitam esse demonstrarimus
prop. 284, 189. Arith. Infin. quae exponentem habeat Z. Cumque hujusmodi Aqua
tiones, secundum receptas tactens TOLMIUTaS SaBCTI nOn pOLLnE; aLIS OpUS CTIE
notationibus (PTO MICTOTa deLIBNALIONE BIODOEHOMIS quXHIEX) quam LuNE vel
Nacurales numeri, vel numeri Negaciri, aut Fracti, aut (quae dici Polent) Radices
Turdae (medias proportionales delignantes,) aut receptarum Aquarionum Racices
aur etiam (quae dici Colent) Tutasata Lacies Pollibitium aquation VLO
L A L. LXXXIV.
udem er interpolationem exhibita,
continue Appronimando.
AM vero, prour in ali Ouanciratibus Incommenturabilibus usu Ec: Nimi-
rum; cum illa veris numeris extriberi non postint accurare; postimus tamen,
continue approximando, tam prope ad verum accedere, ut ditterentia lic qua-
vis altignata minor. (Or in radieis surda exrractione, per locos decimales
continuara quousque libet, jam tieri Colet.) Idem hic fieri polle demonstrarimus.
Falis est ea delignatio quam ego ihi exhibeo: Obi octendo, terminum quem modo
dixerimo, huic aequalem esse; Nimirum,
3X3X5X5X7X7LOX OXTEKTEXTZXL3X dc.
2X4X4 XOX6XBLBXIOXTOKLZX L2. X T4 X _C.
Hoc est, L X 3  23 1 98 . 3 -. 1o X tBBX dec. in intinicum.
Obi Numeratores continue multiplicandi, sunt quadrati numerorum imparium
5373 8, 22, 23, etc. Denominatores vero iidem Guadrari unicace minuri. Ouxe
CA Infinita Series Convereens.
Vel etiam, quod eodem recidie;
TX FBX F 24 Z X aBX L Bo Z Y 1eo X L 16BX dC
Nel (Dolito pro termino primo A, secundo B, tertio C, ecC.)
F + 3 A F 2a B + ad C., F ed D + 12o F. + 168 F F _c.
Adeoque, per concinuam Addicionem vartis aliguotae termini proxime inreni,
procedendum erit ad quam velimus accurationem.
Falis icem est illa Honoracistimi D. Vicecominis Brouneker (ibidlem MCMTOTtA)
Approximatio. Oua ostenditur, magnicudini cidem B, aequalem este
2 ac. La Micum.
Obi cujusque Fractionis Denominator est numerus 2, c adscela tractione con.
cinue tracta: Numeratores n atals CTOrum L PaL LM 33 537,9, ec.
Sux ett alia convereens detres infnuta.
Dico igitur; Circulum, c  Quaceatum, elle, ut L all L 18+ 34 X 98X Eo X _C.
AlE MMHUm.