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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)
# Folio 46, page id 851708439:0070
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A L C F B R A.
C.aD. X.
Idemque lapuis repotendo, obtiteo sequentes F’ractiones (truncacas) quintam
seatam, septimum, oct avam, nonam: 163 2) 167 193 227 35; COnLIMUE VETO PFOPIOTeS
Ouoniam rero quae nonae superelt Mancilta 0. 012732475, minor elt quam ul
continuo Ineremento seu rriplo mantissa primae addica constimar L incegrum
(upote ipsius complemento 0.03847207 minor;) Fractionem hanc nonam (ob
caulas superius cracticas) conctudo Ordinis Primi ultimam elle; eandemque pri-
mam Ordinis secundi.
Erquoniam (ut ex supra tradicis Facile est obserratur) post hanc Ordinis primi
8(0F2732 75 25
8(01273275 2
75(0254655050
8(0127325525
24(038198257
96.
140
tractionem Ocimam- E, non alia occurrat qua non lit d Verore.
motior, ulque 2d =6- 8 +
50 25. +25i quae est ipsi E equalis; sed
cum majori mancilta, (nempe prioris dupla,) quae tamen ipsa
cl intusticiens (quia minor necellario complemento
003847207;) e sic deinceps, per intervalla, donec tandem
prorenit Mancilla, qua non lic minor debito illo complemento:
Duaro, quoties repetenda exit illa Mantilla 0. 07273275, hu-
jus Ordinis prima, ut complementum illud aquet superetre.
Cumque Complementum illud0, 03847207
001273275)0.03847207 (3. 02 + ver mancillam 5.0r273275 dividendo, Ouo-
81072733175 25
24 03819825 75
tiencem habeo 3. 02 Y; rideo plusquam eri.
plum requiri.
Ideoque Fractionis 3 soimer urrique termino, sui Triplum
3205093100 200 addo; habeoque L’ractionem 3) ooia, ipsi quidem aequalem,
696252793 3
33(01245893 10:
2+ (038+9825
096152793
ee cum susticienre Mantilla; qua nempe, Mancisla prima
primi Ordinis Triplo (iltius Ordinis continuo incremen-
10) addita, conticiat faltem Lintegrum, aut eo adhuc ma-
jus
Triplumque hoc, continuo incremento prioris Ordinis
24.99972618 78 addicum, Pacic secundi Ordinis continuum Tnerementum.
Stimpto ilaque Denominatore 103. = 100 f 3 = 25 + 7 8; huic respondet Nu-
24.99972616
3301245893
2490972618
5801218511
24908] 2018
1 83,DF79L[29
2080L16374.
2330L150365
c2580+108987
32499972618
283610876O7
5 2400972618
20801054219
merator 33. 07245893; Adeoque tractio (quam secundi
25 Ordinis secundam appello) Complera, 3.solass Frunca-
1a 83; hoc est 32  = seu
100. + 3
F25 Ouaetum justo mi-
25 = 78
nOr CAL (PFOPIET nUMETATOrEM TunCatum,) tum major
quam, 3== (Propter rationem augmentorum L ad 3,
majorem ratione terminorum 32 ad 100, seu 8 ad 25:
adeoque ec rationem augmentorum 25 ad 78, majorem
ratione cerminorum 8 ad 25;) ideoque vero PropiOT.
Minor alcet GuatiL 78.
Tcerumque (quia Lusticiens Mancisa Suppetit,) adcicis
continue cildem augmencis, (Teu Ordinis secundi contr.
nuo Tucremento,) nempe Denominatori 78, et Numera-
tOri 24. 90972628; habentur Fractiones hujus Ordinis
tertia, quarta, quinta, ec. _ he deinceps, lonsa leric:
quamdiu suppecir sutticiens Mancista; hoc elt quxe mi
nOr non (IC quam 0. 00027 382, Comple
menti mancilla 0. 00072628 ad F inte
Erum. Oua quidem tractiones Frunca
0.99972618
0.00027382
Ta continue propius accedunt vero. Pu- 1. 0000000O
an 18 233 o a  a 8 33 2 64 4273 2 38 3o, 1 . usque
E; cujus quidem Manicilla 0. 00013703, minor elt
quam 0. 00027382; adeoque ipla est hujus Secundiorai-
nis ulcima: Ordinisque Persii prima.
96E 12 358(00889927
2499372678
TTZ7
8
c. 36300862545 7295
24999726L8
68
103
c
TBF
30800944697
24074010
33300917309
24 399]2618
1039
50127327
3
3
49
2499972678
2490972618
2499972618
258(00909455
249997262C
2830097207
2499973618
5
8
805
803
24009726+8
233]0102605
2409972618