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# Title: Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus (shelfmarks Leibn. Marg. 84:1, Stück 1; Leibn. Marg. 84:1)
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De Mulriplicatione.
Compineete, unde lingulas simplicium numerorum mulcipiI
cariones relur ex prompruario perere licet, gualem hic subieci-
mus. Cujus quidem Pabella demonstracio quoad singulos
istius numeros, ex Addicionis Fundameneis pecenda cAt, uE mo-
do octendimus.
Tabella Mulciplicationis  Divisionis.
2 Y 3T 4 15 1 6
8 T
1 41 618110112114I 16)
3I619112T1511812112472
4L81121 16120124 128132136
3T10F25720125130135140145
6112118124130136142148154
7 124T2T[28135T42749756163
8 116l24132140148156164172
3 118127136145154163172181
In hac Tabella, numerorum invicem mulciplicandorum a)-
cero in lummitace leriei crectae, alcero in principio scrici trans-
veclae, repereo; locus ille in area cabellae qui urriq; seriei com-
manis est numerum exhibet ex eorum mulciplicatione Factum.
Puta si quaeratur, quis numerus Factus eric ex duetu 8 in 73
(Ccu mulciplicacione 8 per 7:) intronce cabella quaeratur 8,
_ ad lacusz, (vel concra, numerus hic in tronce, ille ad la-
Eus,) _ in communi lerierum concurtu habebitur 56 =-8X7.
ee similicer in aliis quiluscunq;.
Cum aurem, uri luverius ostendimus, perinde sic ucrumvis
ex Factoribus Mulriplicandum dicamus, idem enim veroris mo-
doprodibic; puta 8X7 = 7X8 = 56. adcoq; perinde eciam
sic ucrumvis in Fronce quaeramus: pocerie cabella ipla in For-
mam duplo fere minorem redigi, uei hic videtur. CIbi duo-
rum numerorum inricem ducendorum major semper in Fron-
ce, minor ad lacus quaerendus (c; e in ucriusq; feriei concurtu
habebitur, uc prius, numerus Factus.
CAP. 18.
Labeta