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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 Proporrionibus Dialoeum.
G. ver Mcibomium liccar, Semissem majorem dicere, quam
Triencem.) Non enim excessus cernarii, determinat racionem
9. 2d6; auc binarii, rationem 8. _ 6, CNam in 102d7,
e 1Y 2d9, compararis, id. iplum cernieur;) (cd iII c excestus
Termistis; Hc, criencis. Porro, 8 8 6, longiusinvicem ablun,
quam 2 de r; ac non icem racio s major cle racione =.
Dicie; incelligendum illud de racionibus tancum ad com-
munem consequencem reductis: vel talcem ad communem ay.
cecedencem. Pura = _ F2. Vel =8 Z, nOn aucem. a e. 2.
BAO.
Ac, inquam, 10. Cur non ixicur hujus conditionis Facta cA
mencio in detinitione e Nempenihil illic dictum de communi
vel ancecedence vel consequence. 20. Eciam ance illam re-
duetionem, non minus lune illa raciones, aequales aue
inaequales, quam ubi ad eundem terminum conlequentem
reducuntur. 30. Pierieciam ommino pocest ad communem vel
conlequencem vel ancecedencem minime reduci pestinc raciones
comparandae; puca, quando cermini racionis unius ad raci-
onis alcerius cerminos sunc hecerogenei. Verbi gracins
si racio ponderis ad pondus, comparetur ad rationem linex ad
lineam: polsune quidem rationes illae (ne retrasante, ciedo,
Neibomio, ). vel aequales esse, vel inaquales;. et quidem vel
haec relilla major: qui aucem possine ad eundem consequen-
cem reduci, nondum ottendie doctissimus vir: neque facile
eA ottenlurus. Si enim voleerel alcerius rel orriulque cermi-
nos commutandos in alios alius generis; exsempli pracia ve
racio ponderis ad pondus, pura quadripondii ad bipondium,
numeris exprimacur, ut 4 2d. 2; e racio icem linexe ad line.
um, voca cripedalis ad bipedalem, uc3 2d2; alque has de-
numraciones comparandas, uc constet urra major: Hoc, in-
quam, eA pecere principium; nam eciamnum incerrosabisur,
quo cricerio juxta hanc doctrinam innocelcet rarionem 4 ed 2
cundem esse vel xqualem racioni quadripendii ad bipondium,
an majorem, minoremre. Nam, propier numcos _ pondeca
inricem heceroscnea, comparacio ad cundem cerminum con-
sequencem non peccric insiiui, quod lolum cA (juxca Pslcibo.
mii detinicionem) racionis aequalis, mojoris, minorilre criteri-
um. 40: Sune, credo, Eemissis, Triens, Ouadrano, _c.
Sive Cubduxlum, Cuberiplum, subquadruptum, _c. non minim
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