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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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DE MULTIPLTCALADAL. Cap.
in aliis. Suncenim, ut jam ostendimus 3 F 3= 3 =, 3X3, 8 8 f8 + 8 + 8 f.
1.
8. f 8 f.8 = =8X 7. Et lic in exteris.
quandam Tolene huic rei accommellulam commpinsere, unde linsulas limplieium nu.
merorum mulciplicationes velut ex prompruario pecere licet, qualem hie subjcci-
mus. Cujus quidem Tabelx demonstratio quoad singulos iltius numeros, ex Ad.
ditionis fundamentis petenda elt. uc modo ostendimus.
Ne autem ejulmodi additiones Expius line a ciretous repluelta, Ladian
Labena Manipucations  Didisioras.
2C
5
120(2428 (3236
20 125 130 135140143
12 I58 124 l30136142148154
2
28135142149156163
26 124 13254140130164172
18
27136(45154163172181)
In hiac labella, numerorum inricem mulciplieandorum altero in summitare se
178
riei crecta, altero in principio lerier crantrella, reperto; locus ille in area ta-
bella qui utrique leriei communis elt numerum exhibet ex eorum multiplicatione
Factum. Puta si quaeratur, quis numerus factus exit et ce B, (seu mul-
ciplicatione 8 per 7:) in tronce tabella quaeratur 8, e ad latus 7, (vel contra,
numerus hic in tronce, ille ad lacus,) es in communi serierum concurtit habebi-
Tur 56 - = 8X7. es similicer in aliis quibuscunque.
Cum autem, uti superius oltendimus, perinde lic utrumris ex l’actoribus MuI
siplicandum dicamus, idem enim veroris modo prodibit; puta 8x 7 = 7 x 8 = 56.
adeoque perinde etiam lic utrumris in tronte quaeramus: poterit tabella ipla in
tormam duplo lere minorem redisi, uti hie ridetur. Obi duorum numerorum in-
vicem ducendorum major semper in tronte, minor ad latus quaerendus (C; ec in
veriusque serici concursu habebitur, uc prius, numerus factus.
Labela Conbractior.
16
120
28
32
36
35140 l45
42145 154
5
30
1
rum com- lis ad compolitorum mulciplicarionem proorellus, ut qua ex limpe HICIPI-
positorum catione (xpius icerata tota dependet; uni inductione patebic.
multipii
catio.
Sit isitur numerus 342c duplandus, sire per numerum 2. suPCaIIS. NI.
Dhi mu mero isicur mulciplicando 3422, Subseribariir Mulciplicans 2, e (duela LIHCOta)
ciplicator cuilibet fisurae numeri mulciplicandi, subseribatur ipsius duplum (quia nemoe
est nume mulciplicator est 2.) eodem semper gradu cum illo cujus est duplum. Ira nempe
cus sim
Plex.
342T
duplum unius unitaris une unitaces dua, duplum duarum decadum
Numen. Obi autem de simplicium numerorum mulciplicatione constat, non erie diftici.
funt decades quacuor; duplum quatuor cencuriarum (unt centuria octo;
um EFLUI LIIISECM LANE LIIIIa SCK. GUII GuIaCM AIMMICEL in unam
66q2 Lummam collecti, nempe 6842, Tunc rorius numeri mulciplicandi 3425
duplum.