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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
# Folio 68, page id 851387705:0088
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l
SUBDUCTIONE.
quaeratur numerus minuendus, puta s, habebitur ad sinistram numerus residuris:
Atque eodem modo in aliis simplicium subductionibus perasendum crit. Detmon
Itracio Patis patet ex iis quae de Addicione lupra diximus.
UBi aurem mumerorum compositorum unus ab altero est auterendus (vel qui-
dem limplex d compolito qui numerum +8 excedit) Minutorem FolemuS Minu-
praxis in endo ita lubseribere, ut linguli interioris numeri gradus iisdem luperioris gradi-
bus directe Tubline, (puta Vnitates unitatibus, Decades decadibus, Centuria cen-
curiis _c.) Deinde a dextra inchoando, singulistiouris seu noris numeri (ubdu-
cendi, ab ejusdem sradus noca in numero minuendo, sigillatim subductis, parti-
culares numeros residuos luis locis subseribimus, quorum omnium aggresatum
elt cocius subductionis peractae Residuu. Sic (I CX
2755898 Minuendus 2755898, Tubducendus lic numerus 650+67: nueris
650467 Minutor
170543F Residuus
his ita Scripiis ut minutoris loci primus, lecundus, Tex-
tius, _c. (a dexira sire gractu intimo inchoanco) ii
dem numeri Minuendilocis sublint: primo, ex 8 uni-
catibus subductis unicaribus 7, manet unitas L, (nam 8 -7 = +) Sublcribenda
isitur (intra lineolam ductam) noca I, deinde ex decadibus 9, subductis 5, 1n2
nenc decades 3, (nam 9 = 6 = 3) Subleribenda igitur decadum loco nota 3: e
eadem ratione, centuriarum loco, subleribenda 4, quia 8 - + = 4: d Sic dein
ceps5 = 0 =5: 5 - 5 = 0: 7 - 6 = F: denique cum ex L in Loco Lupremo
nulla noca subducenda reltat, Tubleribenda L; nempC F = O = T. AdlCOqUE FOLIS
Rcliduus clt 1ZO543F = 1755898-650467.
Vel etiam Reliduus luperne nocari porelt, deletis succestire noris ram Minu.
endi quam Minuroris. Sic quia 8 = 7 = F, deleris 8 _ 7 LCPONO L: Ilem
quia 9 - 6 = 3, deletis 9 et 6 revono 3: sic pro 8 = 4, repOHO 4: et quia
=0 =5, tiguram s incactam relinquo, vel deleiam rectituo: pro 5 - 5, repo-
n0 O; PrO7 =6, reponO T, denique 2 (quia nihil inlupex
20543F inde subducendum cst) intactam relinquo; Reliduus est idem
(788898 qui prius, 170543c. Oc in exemplo appolico videre clt.
68f 487
Ouories aurem continsit notam aliquam numeri subducendi
nota libi supraposita majorem ese; augenda elt nota (UPTaDO.
Sita mutuata F ex loco proxime luperiori, quae in loco praesenti valebit 10, adeo-
que sac grandem numerum efticiet uc inde noca lubleripea auterri poltit: adeoque
730582
51368
TF Y
nota Minvendi in loco sequente supponenda cs unicare minor jam
facta quam prius erac; vel (quod cantundem valet) noca inde aute.
renda supponenda erir unitate aucta: Onitas aurem illa mutuata (A
Libet) Porest duabus lineolis (memorix gratia) incerponi. Sic si
679224 ex 730582 auterendus sic numerus 51368; numeris rite seriptis, ex
unitatibus 2 auterendae occurrunt 8, quod cum tieri non possic, mu-
mata ex sequenribus Z decade (quae ralet 10 unitares,) tiunt unitates 12, unde
Tubductis 8, rectant 4.
Deinde in loco sequenre, ex decadibus B, subductis 7 = x f 6 C nam una jam
inde desumpra in unitates resolura priori loco annumeraca CA, _ 6 in super jam
occurrunt Lubducendae) restaeF: tum e millibus s, subductis 3, reltant 2: de.
inde in gradu sequente, subducto F, ex 20 = 20 F0 (mutuatis nempe r0, uc tieri
possic subductio) restanc o: irem subductis 6 = L. F 5 (propeer x jam subductum,
e 5 jam lubducenda) Cx 13 = 20 -F 3 (muruatis nempe 10 uctieri poltit (ubdu-
etio) reltantz: ec denique 7 = = (propter F inde jam muEatII) == 5. Adeoque
totus numerus reliduus elt 679214 =- 730582 - 57368.
Acque jam racio paret, cur, in subductionis praxi, a dexira sire gractu intimo in:
choandum esle dixi: Tr nempe numerorum ex gradu luperiori ad interiorem erans.
terendorum (uctieri pollic lubductio ) ratio habearur, quod non adeo commode
tieri porest (i a Cmistra praxin ordiamur.
Si tamen libeat a siniltra inchoare, vorest etiam illud fieri, dupliei faltem modo.
Pollimus enim Reliduum rel Superius scribere vel Interius, deletis succestire
nocis numeri Minvendi (acque etiam, si liber, Minutoris) corum loco Relidui no-
eis substituris, quae _ ipla aliquories etiam delendae sire emendandae erunt. Ita (i
ex 725805 auterendus lic numerus 650467: Scripris ne prius numeris; d Cini-
stra ordiendo, ex 7 Tubductis 6 rettat r, (hoc est revera propter locorum ratio.
ven ex 300030 Tubductis 600000 rellac 10990D; teu ex 7 millium cencuriis
Tubductis
Subdu-
ctionis
numeri
composi