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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 102, page id 851387705:0122
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DE NIDLTIPLTCASIONE
Acque hactenus praecipuas Divisionis exercenda formulas extribui, ut ex omni-
bus eam libi quilibet leligat qua sihi magis accommoda ridebitur.
Si partes Decimales numeris incegris annexxe sine, (sive in Diridendo, sive in
Divilore, Tire etiam in utroque, ) eadem ommino methodus observanda cst ac li
ellene numeri plane incegri: modo illud tantum curetur, ut operatione peracta
decimali. tOt sinc parcium decimalium loci in numero Diridendo, quoc in diriiore Limul ac-
que quociente. Adeoque-
Si partium decimalium loci (sire loci intra unicarem descendentes) coridem
sint in Diridendo quoc in Dirilore, erie in quoriente nuluS: Ut 9 (78) 66396(42
(6780.
2 Si nullus tic in Dirilore, tor erune in Ouotiente quor in Diridendo. ut 978)
66396(42 (67(89.
3 Si pauciores in Dirilore quam in Diridendo, cor crune in Ouociente quor de-
Siderantur in Dirilore. uc 97(8) 6639642 (678(9
 Si plures fuerinc in Dirilore quam in Diridendo, tor Palrem addenda sune
ciptra numero diridendo (postlineam separatricem) ante operationem peractam
quoc opus estur ipsius loci descendentes tor lint quoc lunc in Diritore; (vel lal-
tem quotienci inremcotor subjunsendae lune ciptrae line linea separatrice, aut
linea leparatrix in quociente, liqua lit, t0r locis ad dexcram promorebitur;) uE
0078) 66306(420 (67890. vel 9 (8) 66396420 (67890.
Se Si post peractam aliquam divitionem (uc lupra) supertuerit aliquod residu.
um; licebit (addiris Diridendo, poltlineam lepaTATTICEM, GuOEODUS elE CipHEIS)
diritionem ulterius concinuare; unde, pro Tractionibus ordinariis, PrOvenienE
partes decimales, linea separatrici (in quotiente) poltxonendis. Sic Pro 978)
664023F (6789338 prodibit 978)66407370 (67895: FF pro 978)6639805(6780
558 Prodibic 978) 6639805(0 (6789(166 ec
Ec quidem partes decimales (5 tancunaem val nE atque 3. 8 auL Z; e partes deci-
males (16666 c. tancundem ralent atque 358, vel 5. PF Similicer in aliis.
Ratio hujulmodi procestuum in partibus decimalibus, per le latis patet, modo
advertatur linex separatricis recractionem aut promotionem (fingulis gradibus)
numerum decuplo rel diminuere vel augere. Adco ut non sic necelle diutius his
immorari.
Derudice Tlanc saltem univertalem (ex Ougheredo) regulam adjicere liceat, (quae in
Ouorien numeris Dirisione Orris Tuos assignando locos dirisat,) Index cujus que particula
ris fieurae Duotientis invenitur toldendo indicem fieura dividentis ex indice fieura
divisa. Oux quidem ex iis quae de Indice numeri P’acti in Mulciplicatione dicta
Fune, latis incellisi poterie, ur prolixa expolitione non sIL OpUS.
Diritio speciola, simul cum speciosa Mulciplicatione, mox tradetur.
Divisco-
nis ope
ratio in
partibus
bu5.
vis.
A7
RX
Cap. X
De Multiplicatione e Divisione Mebricae Speciosa:
Fit quantitatum ex pluribus denominationibus constan-
tium: Farumque ad unam aliquam reductione.
Oruteroli E Teuc Additionis tienum. + secimus, ee subductionis -: tra Mulciplicacionis
ignum eMtox; Diritionis aurem, lineola incer quancicarem Diridendam ee
Divisio vividencem (ipti subjectam) sexipta. Adeoque ligniticat V + A quancitati V
simplici quanciratem A adjectam esse: V = A quanticaci V quancitatem A ablacam esse:
rcacum. V LA quancicatem VY in quancicacem A ductam: et, quanciracem V quancicace A
Divisam. sive ad quancitatem A applicatam.
Noca tamen Mulciplicationis lignum x (praeserrim ubi species quaetibet unica
nota detignatur) Expistime omini: (cum illud nempe line ullo incommodo tieri
Dossit:) Sic verbi sracia AB PrO AXB, _ ABC PTO AXBXC, et ZABC pro
ZXAXBXC.
NIonen-
catio e
um quan