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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 Preportionit us Dicloeum.
Ec Smiliter p. 129, 1. 24. D. 248. I. T. EF alibi. Mirom
1
dixisse possit. Nam _ iplehujulmodi comparaciones mustori.
es insticuie. Puta P. 140. I. 22. Cerrissimum, inquie, est, majorem
esse rationem. Z quam sitrario. Z.. qnoniam eum utrique eadem addita
est, (nemperacio. 2,) es eadem ab viraque ablata, (nemDC =,)
majorem resienem relinguii ratio Z quam Z: illa rarionem EE: Baec,
nequidem nihili Caequalicacis, incelligic) rationem, sed defictivam
16. Ubimanifeste comparae rationem (ut loquitur) excessi
vam 27, acque defectiram 23, eon que hac majorem appel.
lac. Sic p. 105. L. 4. Duoniam, inquie, ratio ? superat rationem =,
rarione Z: sed rationem ? superat rario Z, ratione Z; ErBOraIO (CZ.
cessiva) Z superatrationem ( defectiram). = ratione bis dupla, id
est, quadrapla. Si aucem excessira defectiram luperet, hoc ett,
major (IC; cur incerim, quarenus una altera major est autminor, com-
Parari non posse, dixerat. Scd _, similiier, inquie, ratio Z major est
quam ratio 3, ratione 25. P. 107, 1. 6. IEcm P: 206. 1. 27. Q D.
244. I. 4. ratio, inquie, sesquialiera aratione sub sesquiallera, distat
ratione bis sesquialiera; ne aurem dubicemus vera major (Ic, addie
P. 144. l. 9. rationem sesquialleram excessivam (Z) superare rorio-
nem sesquialteram defectivam (hoc cA, Tubse(quialceram Z) rario-
ne bis sesquialtera.
ouod ipsi hac in re videtur Fraudi fuisse, hoc cA: Videracille
exposicae racionis rationes duplicaram, criplicatam, quadrupli-
cacam, _c. quas appellat ille duplam, criplam, quadruplam.
_C. ica consticuras esse, ut E earum aliqua sic racio excestira,
hoc est, racione simpla C.Z) major, etiam reliquae erunc excel-
Erae; A defectira, defcetira: ( ouod quidem verum ests
quipee illud oniversalicer obcinet, A radix sc unicace
major, ejus item pocettaces omnes erune unitace majo
res; Ei minor, minores;  aequalis, aequales:) Adeo-
que raciones excessiram e defectiram, ejuldem expoltx
racionis sveradicis pocestares non csse. Cum itaque nulloille
respectu racionem rarione majorem aue minorem putandam
esse velit, nis quacenus exposuae alicuius pluries pauciutre mul-
ciplicacaldici possie, hoc eR, radicis alicujus alcior inferiorre
vocestas; quae ejuldem radicis sire exposicae rarionis poccstatce
esse non posine, eas incer ses quacenus una alcera major sic que
minor, comparai non posse pucarit. Oblicus incerim, se ip-
Cum (ne alios dicam) lonse aliam majoris minorisre rarionis
actimacionem