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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)
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1l
Cap. XIX.
D E D EV ES TON C.
mucabune, ut si duorum componentium hic su Diritor erit ille Ouociens, de con-
era, li ille Dirisor hic Ouociens cric. Puta, cum in mulciplicatione 3 de 4 inricem
ducti consticuane 22; si 3 dicatur mulciplicandus, eric 4 mulciplicator; de con-
era, Ei 4 sic mulciplicandus, mulciplicator erit
3. Si aurem idem numerus 12, Per 3 divi-
dacur, quociens erit 4; sin diritor sC 4,
quociens eric 3. Fc quidem in omni divisio.
3X4 = 12
4X3 = 12
3) 12(4
4) 12 (3
= 4
= 2
ne, li qui prius fuerat Ouociens tiac Diritor, qui fuerac Dirisor Riet Ouoriens. Divisce
Denique, uc de Mulciplicatione monuimus, nempe eam rix aliud elle quam mul. est multi
ciplicem Addicionem, lire addicionis compendium; ica ec de Diritione monen-
dum, eam nempe rix aliud elle (laltem cum Dirisor elt numerus inteser) quam
musciplicem subductionem, live subduetionis compendium. Oui quaric enim,
quocies numerus T2 contineat z; idem tacie ac qui quaeris, quories ex 12 Fubduer
Pollinc 3: Durisitur continua subductione invenerit, quocies postint 3 Cx 12 a1-
terri, ita uc nihil recter; invenit etiam eadem opera quories 3 in T2 praecise conci
neancur; quod iplum clt 12 per 3 diridere, uc ex pex
dictisliquet. Sic (i ex 12 punctis appolicis 3 quoties tieri
Pollic subducancur, patebie post quatuor subductiones ni-
. 1. . . 1.. . 1...
hil Cuperesle. Ouoc aurem subducta Cune, coc prius aderane; adeoque, cum nihil
Tuperlie, maniteltum elt3 in 22 praecise quater contineri, (quod ipsum diritione
Quaericur,) vel etiam eriencem numeri x2 este 4, ( uc lupra ostensum elt;) nempe
li +2 per 3 diridatur, quociens exit 4.
Ouique haec lacis incellisie, is genuina divisionis Fundamenta persentiseit. Cum
enim intiniri proxe laboris esser in diritionibus majoribus coc subductiones sigilla-
tim peragere, quor numero diridendo grandiori penitus extrauriendo (usticiant;
excosicarunt Axichmeriea practica magiltri, laboris magni magnum compendium;
nempe pro multiplici Divisoris subductione, subducunt divisoris Multiptum: quod
eodem plane recidit. Sic in exemplo praecedence, ubi numerus 12 per 3 divi.
dendus provonitur; verinde est sive ternionem (rela
Sa) quater Tubducamus, liro cernionis quadruplum,
(quia 3 F 3 + 3 + 3 =- 3x 4) ee utrumris tac, nihil rc.
Itabic. Ouod ec ipsum tieret s cernarii duplum bis Cub
ducamus; auc etiam criplum cernarii semet de semet
iplum ternarium: nempe 3 X 3 F 3XL = 3X 2 ]:
a
o
+
Duo allasor aurem tueru numerus diridendus, e quociens, comasls palebinu
julco compendii urilllas. St 20n pel L ctridenda; pro decem subductionibus nu
meri 2, substimenda, clt iltius decupli subductio; nam 2 x 10 = 20. Si 360 di-
ridenda per 6; plo Lexaea Subduetonious Melt 6, semet
subducendum exuspts sexdsccliplum. Lter in aliis.
Acque hactenus quidem Diritionis laculalacis explicalse vide.
ar; ejusque cum Mulciplicatione comparationem. Sequitur iptuS 6) 360 (60
praxis exponenda.
sub
vetro.
Si Diritor simplex sic, una tixura seriptus, de dividendus ilem sic divisoris de Per divi-
cupto minor; ex ipsa memoria perenea elE Lolutio; vel, siopus Mt, ex ea quam sen
Tabella Mulciplicationis e Divisionis.
mpli
4 1522126120]29 (28 (32126
5 leb (25 (20 (25 130(35140143
612128124 130136142148154
7124 (2+128135142140150163
126 124 (32 140 148 156164172
0128(27136145154163172(81)
2) 20 (10
otsio
nis ope-
ratio.
supra exhribui Mutciplicacionis de Diritionis Fabella. Nempe, reperto in Fabella
Tummitare