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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.
ris. Oux quia non sacis perspexic Meitomius, id ci norx Cux
doctrina male Fundarx an tam perrexit.
Ouod vero air, p. 148. l. 3. dC PrOP. 10. C 5. Decima auem
propossiio cum octava, cui ut fundamenio superstructa est, corruit; e
Timilia de aliisibidem, e deinceps ad paginam 16T. Cum nOn
alio vertantur cardine, quam que d pucareric le octavam quinti
evertisse: Non est uc de iis admodu limus Colicici. ouippe cadem
opera Racuminantur _ illa. Nec opus uc eadem lapius repe-
tames. Nam nec iple, credo, Meibomius negabit, quin, con-
cessa vericate prop. 8. e5, religua, ab authoribus luis Archime.
de, Apollonio, Fucocio, Pappo, dc. legirima lacis conse.
queneia inde deduera este.
Oua deinceps, P. 16F. _c. ad p. 174. icerato Babeneur; de
yNNoTH)O voce; aic rationum denominacoribus; de cripli
duxlo, aquali (extuplo, ec; de Theone e Fucocio ica l0.
quencibus; Clario icem, aliisque, ipsos sccuris; acquehis
similibus; non esuc iis ulcerius insistam. Ouipec quibusjam
Cupra Cacisfactum. Negueullus ploriacioni (ux locus relingui-
cur, quam habet pag. 169. l. 24. Ex his perspicuum est, non rantum
jenorasse illos anihores (Nichomachum Geralenum, Heronam,
Pheonem, Fucocium, Cardanum, Rodulphum Volumnium,
Clarium, _C.) quid su rationum compositio; sed es, quid si rario.
Cum pocius dicendum rideatur, nec quid sic eOruM, alECrUETE
incellexisse Meibomium, nec quid sibi reline auchores cicari.
Ouod aurem habec p. 171. l. 22. Quare, ex vererum sentemia,
et ratio quadrupla est duplae rationis dupla C incelligie, duplicatam) sie
rario subquadrupla est subduplae subdupta C non, inquam; sed duplica-
1a; Similicer subcenrupla rario, subdecuplae rationis est subdupla
(nullo modo, Ccd, duplicata:) Icerumque D. 173. l. 19. Ouippe,
uni ante dictum est, ratio = E, rationis, = (vel Z) non est tripla, sed
subtripla; seu ratio - E adrationem, ? est ex Fuclidis senterria, quam
octava quinri tradidii, Iut L ad 3, non autem, quod Commandinus e Cla-
vius puravit, i 3 ad r. Ommino FalTun cA: corumque illud ne.
gocium a Mcibomio perperam incellectum, cA depraracum mi-
lere. Nequaquam enim dicendum _, rarionem Z, racionic =;
de rationem aso racionis, 3: Tubduplicacam elle, sed dupli-
CaCAM; (NAM = = Z x 3, _ 160 = 15 Z, 53) nequerationem
Eracionis =, luberiplicaram, Ccd criplicacam esse; (nam - 3
3x3 x Z. ) Id enim exprestis verbis detinie Fuclides, 10d5.
CHIM