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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 44, page id 851708439:0068
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L L. C E B K A.
Neque ulla prodioie cuneata Fractio, volt 1b, ulque ad i-
non Sit major ipla 38; adeoque d vero remotior.
2
78-
qua
Pric autem quae numeratori 50 = 25 = 25 convenit tractio truncara, non
25, 78100085400
25, 7800085400
major quidem quam 38, at neque minor; sed ejusdem plane
valoris, (proxter terminorum auementa ipsis terminis pro-
portionalia.) Majorem camen Mancistam habet, nempe
50. 156100170800 O.90F7,0800: Sed non tancam ue, mantilla prima octuplo
0. 96027328 addita, conticiat r incegrum, (ipore hujus
complemento 0.03072672 minorem:) adeoque nec octaro post hunc loco, tranfi.
Dit F ad interros; sed Taltem loco nono, ut post numeratOreM 25.
Post numeratorem isitur 50, ulque 2d 75 = 50 f 25 = 25 f 25 + 25, muil
lam prodire tractionem cruncatam, qua non sit major quam 33, seu 138; Codem
modo ottendetur, quo, de numeratoribus qui iplis 25 et 50 incersecti funE,
ostenditur. Et limiliter in sequentibus interrallis.
SuMpTO aULEM NUMETATOTC 75 = 50 + 25 =25X3, eadem iterum prodit
50, 75600170800
25.
78,00085400
75. 23400256200
truncata tractio; nempe . 3 = 38: sed cum majore adhue
mantilsa (nempe tripla mantistâ tractionis quarrae,) sec
qua nondum sutticit; (minor utique cst complemento
necestario 0.03972672.) Fx Similiter de numeratore
200 = 75 + 25 dicendum exir. tc sic deinceps, additis
25. 78]00085400 continue 25 numeratori praecedenti; donec tandem (uppe
100. 31200341600 ric mancilla, qua non sic minor necellario complemento
Bc. ec.
0.03972672; (ur nempe oetuplo manciltae prima addita
compleac r incesrum.) Duippe cum, octaro deinceps loco
transibit F ex parcibus decimalibus ad Sedem integrorum.
Ouando aurem hoc concineet; Dirisione inguiricur. Dirito icaque (comple.
mento iIlO) 0.03972672, per 0000854100
0.00085400)003972672 (46.52 - (mancictam tractionis quariae 38,) habetur
quoriens 46.52 -. Fractionis itaque
lainoo (quam Primi Orainis ultimam modo diximus, atque Drainis secundi
25. 28100085400
primam jam consticuimus,) iurique termino, addendus
eric sui mulciplus per 46. Nempe, Numeratori 25, nu
+150, 358803928400 MerHS TF5O = 25X 46; Q Denominatori 78.00085400.
1175, 3666,040τ3800 numerus 3588. 03928400, qui est ejuldem mulciplus per
24, 9602.7328
46. Unde habetur tractio Completa BEIoisBo; FFIN
2183. 3601 (00042128 Cata i1E: ejuldem quidem raloris eum 36, led cum majore
mancilla 0. 04053800: Oux, cum major sit quam
003972672; eadem mancistie primae Octuplo addita, conticiet faltem L in-
cegruM.
SUIMPTO ItagnC NIMETatOTC T783 = TF75 f 8 = 25 + TZ58; habebitr ei
correspondens denominator 369r, 000g2+28. Oui fra
25. 78100085400 ctionem (quam Secundi Orainis Secundam appello)
7158. 3672 90955728 Completam exhibet 5 lo 1; Fruncatam, 365Z; HoC elt
1283, 36070004 1+28 2175 + E
3666 + 25
ser
25 = 1T58
N 78 + 3673
Ouxe cum justo major elt,
(Propter denominatorem truncatum;) cum minor quam 3165 = 78) (PTOPtCE Fa-
tionem ausmentorum 8 ad 25, majorem ratione terminorum 1175 ad 3666.
seu 25 act 78, ut supra dictum est; adeoque _e ausmenOruM L158 ad 3613
majorem ratione cerminorum 25 ad 78:) major autem quam 3ts
Acque S huic Tractioni Mancilla tanca supPerereL, UE, MantilIX 0. 99955728
addita, conticeret r incegrum; idem repetendo, a tractione hac Secunda ad J’ ex-
tiam hujus Ordinis procedendum: (acdiris nempe F258 Numeratori, et 36T2.
99955728 Denominaiori; quod voco Continuum Tnerementum Ordinis secundi:)
Ouippe rum, in Fractione cruncata, Augmentorum rario estet 1158 ad 3623,
qua (ut dictum cM) minor est ratione terminorum F183, ad 369Z; adeo
que minuererur tractio. t lic deinceps, quamdiu sufticiens Mancita su,
pereAet.
2
.
felB.