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# Title: Disputatione Mathematica Numerum Perfectum Perfectissimi Favente Gratia Nec non Benevole Inclyta Facultate Philosophica Indulgente A.C. MDCLXXVIII. ad d. XXI. Sept. P.P. M. Johann Wilhelmus Pauli, Lipsiens. Philiater, Responsuro Johann-Luca Rhiem/ Coburgo-Franco, Medicinae Studioso (shelfmarks Leibn. Marg. 88, Stück 2; Leibn. Marg. 88)
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cumma priorum (quae major, unitate orbatus, est) semper habeturi
cum iplis videlicet Ceometride hujus proerestionis duplae nume.
ris, ubi addi debeant hoc creniac sinsulare, uc, ulcimo ejus (al.
cem termino duptaco, dempedesi de Productoumtate, summaprion
rum enalcatuF.
5. XVIII.
Cux vero numeri nonnulli combinatinullum larsiantur per-
Fectum, ratio, E limitatio axiomaci actendatur addica, quod ma
jores a. b. c. d. c. F. 8. h. unitate suibtracti haud primi sine, eRe IM.
Promptu. Constat enim ex 5. 13. b. ac c. Praecer unitatem, uni-
cace diminuros, divilores 23. ee 47. Qri sunc numeri terminorum
duplaci ac unitate aucti, admutere; prout ex eodem S. clarum
esse pocelt, E. Canqram ABGregacum VisInCI gVING; CeRMIOT
menturam habere zI. ipsum videlicet Asgrepatum ex quinarioteri
inorum numeroproreniens. Pari ratione a. C. d. 8. l. Per le.
prenarium dividi qreunt, juxta specialem Scranchii de Numer.
Doctr. Aph. 58. Reculam sexram: Septenarius quemlibet metirinumorum
dicirur, qui collicitur ex tribus, sex, novem, aut duodecim terminis pron
poreionis duplae, quadruplae aut sedecupla. Qrod autem numeri e
direrlo alii, V. 5. 8. e 16, 32. e64. Scq; porro, E combinentur eo-
demqi modo cum iildem procedatur, nullum de se sienant pertes
etum (Prima tamen, quae inter 2. e 4 esset, combinatione excer
PCa) non pocest non icidem latis patescere. Primus nam gi n
merorum majorum, ut videre cuivis est, character aut 4. toret,
ac 6. adeoq: unitate prirati vel exhuberent numerum a quinario
incipientem, eoq; iplo compolitum. Veluti Regula +. I0C. Cit. docet:
Duinarius est pars aliquola numeri, cujus prima firura est 5. vel 0. red
numerum darent primo charactere z. constantem, ita quidem, ue
numerus cuncille, cum additarum ejusdem fixurarum summa men-
Turam 3. aenoscat, ipse perz forec divisibilis. Uno verbo; ma-
jor numerus unitate diminutus, juxta obserratum 5. 13. annota-
cum, perpetuo existeret Aecregacum ex numero terminorum.
Composico proenatum; adeoqre Numerus paricer Compotitus.
Combinationis itaque unice d quaternario initium erit instituen-
dum: rel si a binario; ipse quaternarius denuo in subsequence
vc reperatur combinatione necessum erit, qrà ratione omnes
quo