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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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Adversus _ Meibomii
onxinotutae detignari; cum haec ab illa admodam Cie diverta.
Nempe in alcera (5b6) onniroIntes ror Nocor; in alcera
3d5) xnanoInS r uEZEdCOr innuIEE. Dehinicur enim 2o.
20, (3d5) NouEredor ouozerior n x rnxnorra (nempe
s avrCor, nOn TnS géoECOS, Dedum ZE XoZ~) axdS MNNa OI
géoi5. In alcera vero det. (5 d6) dilerce dicieur ai rar nozor
ruxeXoDES. IIIic, quanta maenieudo delignatur: tic, quanta ratio.
AC inquiE, PaC. 9L lin. 4 Insulsa illa esserrationam composi-
lio ec. quod rnxenctntos quantitates, velit esse 2000
Intas quoritares; atqui rnxinontas, quancitates rationum inier se
mulsiplicandas dicit Fuclides; non 0dInJac, numeros hujusmodi, qui-
bisrationum effabilium ontecedentes, ad unitarem, tanquam communem
consequentem, relatae explicentur: quod hoc molo raTiOneS numerO in-
effabiles componi nequeant P. 89. l. 12. Diserre, inquie, uerque ( Pu.
cocius _ ThCO.) per rationis mixinotnrae quantitarem, incellipi dicit
0o In ra quoritatem, seu, ut ipsi lognuntur, numerum denominatorem a quo
ratio denominatur.
D: racionibus, numero snestabilibus componendis; modo
dictum eAt. Per quantitates aurem Pucocium et Theonem dicere,
incellieendas esse gnotitares; neuciquam concedendum est. Oui
enim quoaplum dicie, non dicic Duor, sed Duantum. Nec, quia,
verbi gracia, Racio Dupla, a binario denominacionem CumiE,
Idco, qui Duplum dicic, mulricudinem dicie, Ced Bocius magnitudinem,
Ceu mnxornta. Oui enim lineam bipedtalem pedalis duplam.
dicic, non illam duas esse dicic, (ed numero unicam, magnicudine
verotantam quanea effene pedales duxe. Nempe Duplum, non D1
dicic, Ced rancundem atque duo. E. c quidem iple Meibomius ni Fallor
P. 83 l. 2. Sb conxac, uruc a numero denominatos, pra magni-
cudine habec, de limilicer alibi.
AcinguiE, P. 96. l. 9. hac mulsiplicatione quanticarum, rantum unam
quantitatem nanciscamur; (recte quidem; nempe quancicarem ra-
cionis compolEx, qua QuarIEUE:) adeoque non rationem, quod
erat ProPOsaM. ImO, inquam d RLatiOnCM; nEMDC, CujuS haeC
et giancicas: Cicur es magnitudinem extriberi dicimus, quando
extribetue. Duana sic illa magnieudo. FIinc lamen sententiam in-
seni quadam incerpreratione se invare posse dicit (quali quis ancca
Hocnelcirerie;) nempe, ut dicamus consequentem rarionis terminum
ubiqe esse uniratem; (G nempe rarionis denominatoe habcacue
pro cermino ancecedente,) Ac quisqualonclcie, cancundem