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# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 5
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Obs. 8. Residuu Divisoris non est minus Residuo
subdivisoris. Done minus esse, metietur Subdivisat
Excessum Residui Subdivisoris supra Residuum Divisoris
per observ. 7. Sed Residuum Subdivisoris mingi est ipso
uc
subdivisore ex natura Divisionis. Ergo Excessus Residui
subdivisoris majori gure mina erit subdivisore. Metie
tur ergo subdivisor, aliquid se ipso minus, quod absurdus
Obs. 9. Ergo S Divilsor aliquo loco Proqressionis
non habeat Unitatem
alt majus unitate
habebit. Si haberet, esset Residuum Divisoeris minus Resi
duo subdivisoris, contra Obsero. 8. Si minus A Unitate
seu Nihitu,  subdivisor per obsero. 7. metietur differen
fia Residnorum seu unitatem. Sed hanc nullus Numerus metis
Obs. 10. Residuum Divisoris revocari potest ad Locum
multo inferiorem in Cyclo subdivisoris qui vocetur
Locus Criticus
Obs. 11. Locus Criticus sic invenitur
divisor Unitate minutus dividatur per Subdiviso
remunitate Minatum. Residuu Divisionis erit
Locus Criticus sit Divisor 77. Subdivisor,
et unitate utrique demendo, dividatur 76 per 6. Re
siduum est 4. Ergo 4. est Locu Crititus
Proposito enim Numero 77. cum Evaestio movetur
utrum ei character primitivi competat, inquiren
dum venit utrum mz divisum per 77 du resi
dui loco habeat Unitatem. Ergo per Observ. 9.
Sisubdivisor 7. Loco 76
M
Divisor 77. eo loco unitatem habebit
Sed adso Divisorem 7. primitivum Loco mo
q12.
m.B. m et est Unitas Ergo d ad Divisorem
Loco
N 6 72. (multiplo nujus 6) erit Resid. Uni
fas. Pari passu igitur sequentia cum Residuis
initialibus ambulabunt
ut mo m: m m m
1.
2.
m m? m m nit
2.
4. 1. 2.
Ergo Residua Cocis
me. e m coincidunt
Ergo si ad subdiviso
rem 7. Loco m Uni
tas residua non est non poterit ad Divisorem
7y. Loco m residua esse Unitas adeoque ipsi
77 Character primitivi non competet
jana opus est
Obs. 12. Invenire possumus Compositum Divisorem
cui datus locus Criticu in Cyclo subdivisoris respode
Obs. 13. Nam si loco Critico subdivisor non habet
residua unitatem p Observ. 9. d 11. Divisori Com
posito eharacter primitivi non competet
obs.14. Invenitur autem talis Compositus si subdivisorem
multiplices per Exponetem dati loci Critici Unitate aucti,
Ut: Ad  subdivisorem 7. pono m m m. m: m m m
Ita Residuum hic erit Unitas omnibus Locis Ternis
4.
Ergo si datur Compositus Divisor, cui Charaiter primitivi
competit, per observ. 13. oportet ejus Locum Criticum incidere
in aliquem Numerum ternum
Velim prius 3. esse Locum Criticum Ergo sumo pObs. 14
341. P7. multiplicatum Facit 28. Hujus Numeri Locus
Criticus incidit in m p observ. 11. Nam 27. per 6. Diviu
dendo R etiduum sunt tria. Sed ipsi 28. Character Numeni ppr
dra
eis non intra.
lumie