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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 33, page id 826603459:0529
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De Preporrionil us Dialoerim.
Nam e vecabula Ceomenica, non sen per eodem Cenlu ulur-
Dantur. Ouippe neo dubitac, quin alio (CNTU OCCUTTREVOK
eces 9 ex 1. aliovero, 1d5. nempeillic, partem quan cunq:
innuic; hic, nonnis parcem aliquoram. Icem ade EXCV, 1O aX 1,
_ +d2. Illic, duabus rectis contineri spacium negatur; hic,
dluabus rectis concineri dicicur rcctangulum. Ec similicera
tibi.
Sed videamus quae sint hic Mcibomiinova tradica.
Posito quod Ecpcimius _ Octarius eadem celericare incen
danc; Seprimii, inquit, celeriias ad celeritaum Oetavii est in rarione
nullas (D. 102. L. Penulc. ) Imo vero, inquom, in racione Sim.
Pla, Eire A qualitacis, nempe, uc 2 ad 2, uc Facetur ip (c P. 103. I.
2. acille, inquir; equalem rationem, nihili seu nullam vocat. (P.
203. I.7. 3 Ac, inguam, quo Masistroe qua vel ratione vel au-
choricare Frccus quae illum vel Grammacica, vel Machemaci-
ea Ec loqui docuice Si Machetim spectcmus: F.A quidem A-
qualium incer se nulla Inegualicas, nullus Excectus, nullus
Detectus; ac, nullam esfe rationem, nemo prudens dixerit Ma-
chemaricus. Si Grammaticum spectemus: quod bis cancun-
dem acque alcerum concinet, duplum dicitur; quodter, cri-
plums quod quater, quadruplum; _c. adeoque, quod lemel,
simplum; _ non nili quod nullies concinet (adcoque nihil cA)
in nulla ratione dici poces censtiturum. Jam vero, quod 
quale eA, continet Calcem lemel tancundem; adeoque Simplum
est; hoc est, in racione Simpla consticuum: non, nullecuplum,
Eirc in nulla racione. Nulla icaque racione asterie, X qualium
rationem nullam essc. Ded ridconus accunque quid. obcen-
dac.
Omnes CinquicD. X13. L.9.) nihili rationes (inccieic, racio-
nes simplassive aquales) mi sunt 2, 2, 3, sunt inter se aequales:
Commino. Addo, icem omnes duplae, un Z, 4, 5; Vel eciam om-
nestriplae, vti, 23 E, 3.) Quemadmodum in Lcxistica nola nullae, 0, O.
O, inter ses tanquam nihili res, aequales exsistnni. CAddos vel criam
omnesnocx unitacis, 23X, 2; vel eciam binarii, 232, 2. _c.)
Ac inquam, nullo modohinc lequitur, Raciones Simplas esse
racionconihili, maxis quam, Raciones duplas, criplas, alialve,
rationes nihili esse. Sed procedamus. Ouid porro?
Porro. inguic p. 204. l. 20, ratio dupla ?, a ratione nihili (Gim-
plam, intellisic) Z tanto abest, gnanto ab eadem ratiore nibi li in
alteram