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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 MI. Meibomii
Rationum nomina quam duplum, criplum, quadrapluen, eC.
S.millem reco Ouadeance majorem else, nemo lobeius nesace
debec, quippe qui duobus quadrancibus _quacUE; Omnes au-
rem homines torum gurvis sua parre majus esse, communiratione per-
cipiunt, (Vel Mcibomio judicepas. 24F. L 16.) adeoque le-
millem Gundeance, vepoteluiDarce. AC rero, Pec hanc Mei
bomii detinitionem, subquadeuplum =. Subduplo =Z vel 4,
(hocett, quadrans semisse, ) majus ellec, cum Y ec 4 plssi
distenE quam + &E2, vel 2 8 4. Ouod quidem acut Meibomio
haud absurdum rideatur; rix eamen alii, credo, dictu
commodum judicabune. Sed progrediamur.
Differentia aurem, inquic, illarum (3, 8,) est ratio Z quae in
utriusquerationis anrecedentibus spectatur. Nempe quia E) 5C5
quod Cano Cenlu admicci porest: Ccilicet, I de Ditterencia
dirisonali, seu ouoco, incelligatur. AC incerim non minus
sane, alio Cenly, dicetur differenciam esse = quia nempe = - 3 - 3.
Sin de hoc dubicet; relim uc exponac mihi hos Horatii vec
Sculos. de Art. Poet.
Romani pueri loneis rationibus assem
Discunt in partes cenium diducere. dicat
Pilius Albani, Si de quincunce remora est
Vncia, quid superat ? Poreras dixisse, triens: P. l3
Rempoteris servare uam. redituncia: quid fi1?
Semis:
Ouod, sguie c8o incelliso, Hoc eAt 2, - ,2 =  E - =.
FC22 +22 = E2 = =. AC Semissem, Trientem, Vnciam, Ruincuncem es c.
non magis nesabie, credo, Racionum esse nomina, quand
Duplum, Priplum, Duodecuplum, Duplum superbipariiens quimias ee.
nempeillorum correlaca.
Ado i eq Corisi
Eadem pag. 76. l. Penulr. Mensura rationibus applicanda, nonnist
ratio esse porest, (Recte.) Vri enim lociudines mensuramus lonsiudi
nibus; superficies, superfIeiebus; Corpora, CorporibUS, C. (RCEC. Sed
de Racionibus.) Paca, linea cripedalis pedalem (apecac, linea
quidem bipedali, Ced in racione eripla. Sicrationes rasionibus.
Omnino. Paca racio sexcupla 2. Cuperat criplam Z, ratione
cripla 3
(quia 2 = Z = 2.;) Ced in racione dupla; quias
2.)3(Z. P. odem plane modo quo linea lex pedum 6P, Cupe
raclineam erium pedum, 3P, linea erium Dedum 3P, (90ie