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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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C. AP. 4.I.
De Fractionibus sive Minuriis.
pus arichmericum, parcium summam (addendo) colligere
aeque summarum cummam; ita ee ad eandem Racionum do,
etrinam spectat, sire Numerorum, Linearum, _c. rariones; live
iplarum Rationum rationes, contemplemur. Ouod aurem ille
quancitarum absoluearum raciones, Rationes simplicicer appel-
lec; racionum aurem rationes, Propertiones; et Proporrionum ra-
tiones, Proportionalitates; (aut etiam, si racionibus proxorcio
nalicatum, norum indidisset nomen, de lic deinceps quou sque
liber:) licirum ommino eAt, li ita videbitur, ad pleniorem ac-
curaciorem que, ubi res postulae, distinctionem, ica loqui, ee vi-
tandae contulionis ergo: Ac incerim non inde nova magis diu
cenda est in Arichmericam (vel, E libet, Geometriam,) intro-
ducta speculacio; quam si in Additione, (ob continuas IXpe re-
Decendas operationes,) libeac expolicas aliguot minutas quan-
cicaces (distinctionis gracia) Parriculas axpellare; particula-
rum aurem collectiones, Parres; e collectiones parrium, Inten
era; inceororum aurem collectiones, summas; et lummarum de-
nique, Summam rotalem. Sicut enim eadem arce cum particula-
rum in Parres, cum parcium in lnecgra, _ incegrorum in sum.
mas, _c. collectio insticuitur: d collectiones omnes inrer-
mediae, quanquam praecedencium relpectu, (int ABBregatA; se
quencium camen, pro Membris habeantur: Eodem modo per
omnia, iildem plane principiis cademq; arte procedendum cst,
tum in simplicium sive absolucarum quanciearum rarionibus
contemplandis, cum in racionum rationibus, live proporcioni.
bus, harumque proporcionalicacibus, d lic deinceps: e qui-
dem licur incermedix raciones sve comparationes, respectu
quancicacum absolurarum primo expolitarum, Relaciones tive
Respectirae quanticaces meriro habeancur; illae iplae camen-
cum invicem comparandae linc, in Ccquencibus illis comparari.
onibus, procerminis quali simplicibus lire absoluris sune ha-
bendae; iplaeque relaciones, cum inricem comparaNEur, jam
tiune, ed comparacione, nora relacionis cermini, ad instar ali-
orum Entium plane ablolucorum. Neg: aliud, credo, ctt, 9uod
in tocailla cractatione lacasic V. CI. Sed dehis haccenus.
Acq; hactenus de Fractionum cum Nacura, tum A quivolo
lencia, dictum esto; cum deillarum cum Racionibus aftinitace.