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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)
# Folio 338, page id 826603459:0384
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Meibomius noratur.
Ci A P. 300
licur videatur illius nora doctrina quicquam in le habere pon-
deris; videre pollic, et quid nobis illi reponendum esse duxi.
MTISo
Incerim vero dicimus 10. Nogor Arnasior, aliud planc esse
quam Rozor scronariora HE Supra ostentum cA; _, quid inter
ledistent. 2. Nogor Stondoor, racionem duplam, simpla ma-
jorem esle, agnolcimus: led non ita lemper nozor siwnasiora
quippequocies expolita racio, Peu radix, supponieur minor
quam 1 vel ?; ratio duplicata, criplicaca, _c, hoc est, quadratum,
Cubus, ec. Derpetuo decrelcunc.) 30 Adeoque non inde
lequi dicimus, racionem a majorem elle quam Z, ucur illa (IB
hujus duplicata. adeoquerum 8 d5, cum 3 et 20c5, (cum qua
hinc dependenc,) Tacis constare. 40. Aqualicacis rationem
. non rationem nihili dicendam esse, sed simplam. quippe, uE,
ubi cerminus ancecedens conlequentem bis concinet, duplus di
cicur; ubi cer, criplus, _cc; ica, ubi lemet, simplus dicendus est:
adeoque Z cariolimpla. 50. Negamus item, cum L 1 _ = I,
esse aequales numeros; cum Z e Z aequales esse rationes. quippe
F 1, binario major cA quam = 1, (nam + T -- - 1 F 2) &
racio = cCracionis = (non inquam, quadruplicaca, led) qua-
drupla: nempe Z = 4X Z. 60 Negamus icem, Rationem canTUN-
dem ese acq; Inaequalitarem, ( quippe et aequalium ad invicem
est racio, non minus quam inaequalium:) Auceciam idem acq;
Intervallum. Uci enim, inrarione, uc loguuntur, Arichme-
tica; eadem est Ditterencia (quae subductionem (pectet)
Incer. 5_ 3, atque inter 385; non autem eadem racio
Arichmerica, 52d3, _ 3 ad5; quippe illic, excelsus binariis
hic, binarii Delectus: Ica, in ratione Geomerrica; idem est in-
cerrallum (diritione aeltimandum) incer 2 & 2, acque in-
cer L _ 2: non autem eadem racio; sed illic, dupla; hic, sub.
dupla: Eire, illic innuicur duplo majus; hic, duplo minus. P.C
quidem, uc illic, licec eadem Differencia, non camen idem Re
tiduum; sed 5  3 =- F2, 3 - 5 = - 2: Ica e hic, liCcB
idem incerrallum, non camen idem Ouociens; Scd Y) 2 (2.
C2. Neque magis sequicur, Ouoniam inter 2 8 r, 2tque
2_ 2, et idem incerrallum, erzo de eadem Racio, sive Retac10.
quam, Duoniam incer Pacrem e Filium, acq Filium ee l’aeret
eadem eAdistancia, Ergo _ eadem Relacio. Et quidem, ut
Geperacio, commune Fundamentum cA cum Pacernicacis, cum
Piliacionis
Refurario
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