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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 59, page id 851387705:0079
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le
1ni
eni
1e
lu
a
Cap. X
L+ l et L B l
ille poticum; quia cunc iptius valor nondum +=
INBOLLCTA, LLA GLaTENCL CTaT. NON LAMCN X2C
acleo ablolure n CCHIATLI CFAE (In pratenL
proltenne) hoc paclo proccdere, acli nulla
alia mechodo qualtiOM relpondLrL pOEVCrI:
Nam, quamris illud torcalle in dittic lioribus
22
22
Problemuis non raro accicar, non camen adeo 23 = 3
dillicilis Cl praeteneis qualtionis soluuo, quin 420 - 6
uc poltic cura opem Algebra inveltigari. NCM.
De hoc paclo. Si reliduo 2, TCLICUANEUT 3
(qui nuperrime Paltach lolrebaneur) tiunc a
(TOE erHO PAllade AUPLANLE pTOVCHETAHE) ho
rum semiltis 2, ML AMerUS alium ad PaII2. 82 - 18
dem altacorum; quibus si acjieianeur 3 C qui
nuper solue tuerane Apoltini) tiunc 5, (10C 82 - 21 =
ergo APOIIInC CMPIAMLE PTOVEHETANE:) hOTCMI
DuS Si adjICTANCUE Z (que Mciper derracti crane
 22
Tolrendi sori) tunc 53, qui dyplance torc,
20 - 1
e = 5:
PrOVeNCTAHE; horum ergo semiAis 23 elt nu  22 = 23
merus altium ad jorem allacorum; qui elt numerus quaelicus.
cacis memique emersu il toturio lemel invelcisaca pollic etiam aliis hyvoctcl.
cron semillem 23 de APeeM alculerat; quI.
Ouamris alte In Bujulmodi Brinoris dittieulcaris  leltionibus non sic absolure
necectarium ne Mecodo BCbICd. Pel Aal . LiC Catttes lcili-
bus applCAEL; nec OpuS LiC pO TinGnIIS quaItOnS Pattationibus loa eperatIO.
num lerrem C novo ordiri. Verbi GrACA. SB CaLCHS HL PEUIS MIENEIBUS, d1.
camus 3 alles rundem 1Epcrelle; CHlenc  d = 21 = 3: ielcoque 8 l = 2
BR-
+=
= 26
&e R = 3. Si Superelsene 5 altes, cllene 8R - 21 = 5:; ideoque BR = 26, de
R = 34. Lt Pariter laciendum erie si plures auc pauciores alles luperelse dicatur. Ve
8H - 21=
2
8R - 21 -0
=
Sccundo. Fuxta Alsebram sive Analyricen Recentiorum, qui non modo pro
numeris ignoratis, led ee pro numeris datis, Cymbola substieuune, solutio prove.
niec magis actiue univertalis. Verbi Gracia. Pro numero quaelico, CubsLIEIaEuE A;
pro binario (quia nempe tuc aliquacies numerorum duplicacio) B, e deinde pro
rernario (quia nempe 3 aliquoiies auteruncur) C, ee denique pro numero retiduo
(qui hic cst L) D: peoxrellus erie hujulmodi
B9A BC
c
_c.
BCA - BgC - BC- C-
Hlaec alitem symbola paricer praestabune quaesicum, sire quemlibet Dirorum allalos
nummos duplare, criplare, quadruplare, dec. dixeris; (nempe incerprecando B.
DrO 2, 3, duc 4 _C.) item sre cres, Quacuor, auc quinque _c. altes lingulis cracti
105, (nempe incerpretando C de 3, 4, 5, _c) e denique sive unum, duOS, TrES,
Ccc. (nempe incerpretando D, de 1, 27 3, dec.) alles candem superese dClIS.
Si enm quemlibet Deorum nummos duplaste dixeris, erie B= 2, B9 4, BC- 8.
Si eriplalle dixeris, erie B = 3; B9 = 9, BC = 27, dc. Deinde l cuivis tres
altes redeicos dixeris, eri C-= 3; li quacuior erit C = q dec. Venique li unum
superesse dixeris, erie D = E; (I duOs, Cric B = 2, ec. Aded B ractala
typocheli rarialca CTM IOLHLIOIIS INTErPECTaLO.
BCA