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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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S F O N F. Cap. XIX
CaruM quoF OpuS CH,) e promoto divitore, se
cunda opcratio ad eandem tormam insticuenda
nempe cum o in 80 contincantur octies, potico
in quoriente 8, et subseripto octuplo, 72, his ex
80 Tubductis, manebune 8, ducta linex Tubteri-
benda: FF sic deinceps: ulque dum tota opera-
tione peracta, reperientur candem reltare 5. UE
ridere clt.
Aeque hactenus de Diritionis praxi, per Di.
vitorem simplicem (unica tgura LCxIDCUM) DC-
ragendae.
Si Diritor compotitus sit, (pluribus nocis ferip.
tus,) operationis mechodus, quanquam aliquanto
magis intricata, iildem plane principiis HILIEIE
quibus praecedens. Nempe, Dirisore Lib tot quor
Opus est diridendi tiguris ad siniltram prOXIIS
subleripio, ejusque mulciplo quam fieri votest
maximo ex uldem sublato, (nocaco interim in
quoriente istius muscipli denominatore,) pronio-
vendus est Dirisor in locum proximum, et sic de
inceps quories bpus exit: tolaque operatio ut
prius verasenda.
Lxempli gracia. Si 4290208 velim per 32 dividere. Divitorem 32, non sit
Diridendi truris 1Z TBleribo, quia 32 in 12ne lemel continentur, sed (omista
provterea tisura prima) lub duabus lequentibus. P.L quaero, quoties in L29 reDe-
riuntur 32 vel, quo commodius illud alleyuar, per porces inquiro quoties In 12
reperiantur 33 quod cum quater tieri deprehendo (acque incerim, un reliquo 0.
quarer contineri 2,) in quoriente seribo 4 iplique 32 Tubseribo iptius quadruptum
128, quod ubi ex 129 lubeluxerim reltare video r, cui subjunctis reliquis dividen-
di tiguris nondum ractis, reliquum adhue rideo 10208.
Tum divisore uno pradu promoro, cum videam z2 in +0
nullies contineri, in quotiente scriho o, et deleto ibidem
divisore, uno adhuc gracu cundem promoreo (immutaris
manencibus diridendi figuris 10208, cum inde nihil ab-
larum tueric,) ee quaero, quories 32 in TO2. Sire, quo-
tes Z in YO: reDeriUntE autem Z in FO ter, et quod
Tuperest F cum sequenti noca 2 facie +2 unde non dubito
quin 2 (teligua diriloris tigura) possit Palcem ter au-
terri; adeoque in quorience scribo 3, e diritori 32 Tub-
seribo iptius criplum 56: quod ubi ex suprapoliris 202
subduxerim video reltare 6, eique tigurX Calias aehue
intactas) 08 subjungo. Tum, promoco divitore, quaero
quories 32 in 60, vel (per Partes) quories 3 in 6, 8
invenio bis comineri 3 in 6; ac incerim cum videam ni-
hil suverese unde reliquam tixuram 2 bis auteram, seio
eocum 32 non nitr semel ex 60 auterri polte; ideoque
in quotience scribo r. ipsumque diritoremm 32 Cx 60 sc.
mel auitero, et restane 28, quibus B (tisuram intactam)
adjunso: Lt, promoco diritore, cum 32 reveriam in 288
novies concineri, seripto in quoriente o, de diritori, (ub.
Seripto ipsius noncuplo 288 =- 32x9, ubi hOC ex 288
Tubduxerim inrenio nihil restare; adeoque, cum nulle
adhuc supertine Diridendi figura, toram operationem
peractam elle liquet, et quorientem repercum este 40319
Praecise.
Ila Si 6639642 per 938 diridatur. Operatione ut in
praecedentibus peracta, reperietr quotens 6789. ut vi.
dercelt.
Vel Cla, n libet relidua superne notari pottunt.
acque incerim linsula dirisoris mulcipla leortim luis locis
seribiu
260356F (2892847
1296208 (40319
6633642 (6780
5
Divisco-
nis opera-
tio perdi
visorem
composi
u.
Ilia ope-
rationis
Forma.
8802