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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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C AP. 19.
De Divisione.
ente lcribatur, ee Diviloris criplum
6 == 2X 3, ex numero 6 luprapot-
co ablacum, nihil relinquic: adeoqi,
deleris 286, cum nulla lapertine alia Diridendi fgurae, per-
acta est tota dirilio; _ repercus est Ouoriens intexer 243; qui
propcerea Cemiltis est numeri 436; quippe rocies in 486 reperi.
cur numerus 2. Si aucem plures adhuc superfuistene in numero
Diridendo loci, plures etiam cadem plane merhodo reperenda
essene overationes, quocoDus cllet.
Si quis incerim objiciac, tiguram 4, cencuriarum loco poh.
tam, acq; 8 Politam in loco decadum, non eot simplicicer unia
taceo, sedillam q. centurias, hanc 8 decades hgniticare, adcog;
2 in 400non bis sed ducenties, _ in 80 non quacer sed qua-
dragies contineri. Verum quidem illud est: led ec pariter ve-
rum cAt Aguras 2 _ 4 in quociente positas, quanquam cum
primum Ccriberentur, viders possunt eoc simplicicer unitates
nocare, tamen ubi coca perticitur divisio patet illam ducenta.
E hanc octoginca, Genifieare; adeoq; non dicimus numerum 2
(divilorem) in numero 486 (diridendo) concineribis e qua-
cer _ ter, sed ducencies quadrasies de cer. Ec quidem in ope-
racione prima, s locorum racio habearur; non simplicicer bis
duo ex 4 sed ducencies duo ex 400, sire bis duas centurias ex
quaruor cencuriis; e in operarione secunda, non tam quater
duo ex 8, quam quadrasies duo ex 80, sire quater duas deca-
des ex 8 decadibus, ablaca esse dicendum erie. Et similicer in
aliis quibuscunque divisionibus.
Fodem modo, ( 138240 per 3 diridamus; Dirilorem 3 (non
ouidem Tutr 2. quia iplodiriloreminor cst, 2de09; 3 in L nuI-
lies concinencur, d propcerea in quoriente vel nihil ponendum
esset, vel ociphra, quie hic loci nulli esser utui, cum nondum
Ecriptam habeamus ficuram significarivam, Scd) Cub Reura
proxima 3 Cublcribo; _, cum 3 in 13 C fguris suprapolicis)
concineancur quarer, Ccripco in quociente 4, dirisoris quadru.
plum 12 = 3X4, ex 13 sublacum, relinquie r, quod residuun
deletis r3 superleribo: Tum delerum eriam eo loci dirilorem,
in proximum cranstero; e, cum z in
8 contineantur sexies, in quociente
post a Cubiung06, de divilorie lex
cuplum 18 = 3X6, ex supraterip.
486 (3
22
3) X38ZA8 (46080