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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 Proportionibus Dialoeum.
Fura ab Lb1: Icem Va, pocestas dimidiata; quipre meci
proporiionalis incer nullam et primami e va vel a vas pocectas
dimidiata cerrixe, leu quae dimidiaca pocestare luperac primam;
Puca a Z vel 1 Z denominanda. Pc sicubiris. Ouod aucem de
radice a dictum est, puca, dum ponicur a = 2; perinde in-
cellipendum eric de radice quaris alia, puta si PONaTUT B
quippe rem hoc nehilum variabie.
Sed e hinc etiam manifeste sequitur, (quod ee norune om-
nes,) quod, quocies radix ponicur major quam L; sinsulae Po-
celtates concinue augentur. ( puta (1 2 = 2, Crit 23 - 4,
e = 8, _C.) ubi enim in concinua mulciplicatione, muliin
PlICaTOT (quX radix est) est unitare major, nulci-
plicandus plusquam semel ponitur, uc habeatur producium.
Duories aurem racix, (hoc cM, concinuus mulcipliCaTOF) CA
minor quam E; Potestares concinue decre(cunt (DuL2 (25 - =
cric Z = 23 ∞ = Z, ec.  quia cum mulciplicandus peri-
tur minus quam CCmel; nem DC ipsius a liguanCa ParS; _ PropEC.
rea lequens pocestas praecedence semper minor eric. Si autem
radix HC I; auc etiam Z; Porectaces Omnes nec nucta erunE nec
diminutae; (cd _ iplae, L: Cnam A 2 =- L, eric 23 -
1xY = 1, _ ∞ = EX F a Y = 1. _C.) quia cum mulcipli.
cacor est L, muliciplicandus praecile lemel ponicur.
Ouod aurem hic de potestacibus universim ex quacunque
radice dictum est; id de speciacim in rationibus valec: puca, (
expolica racio. Ceu radix, sic major quam =; racio dupli-
cata, triplicata, _c. hoc cA, Porectas secunda, cerria, _c. Con-
tinve crelcune: Cin minor; decrelcune: si denique aequalis.
requales. Quod quidem Eadvercissee Meibomius, non Fuillet mi-
racus, (P. 17T. L. 22, _ P. 173. l. 19. _ alibi,) racionem minorem,
majoris duplicaram, auc criplicatam, _c. dici posse. Aujus
quidem rei ignoracionem, errorum luorum prove omnium
originem e toncem judicamus.
Cum aucem aic, P. 221. I. PenmlI. In diaerammate, A B,
ut ita dicam, nulla est ipsius
CB: at C B sett D P. dupla
est ipsius FC. Mirum ete
quam Ce, ambigua, voci
duplas Bgniticacione inopi