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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)
# Folio 42, page id 826603459:0538
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dversus MI. Mcibomii
concinne, F Y 1  Y, aguales esse: & quod nemo Cobrius dixe-
ric. Ouippe ille huic aequalis non eAt numerus; led inceBro bi-
nario major. (P.R enim = F = = T + 3.) Neque enim, quod
_ F cancundem Ane, ideo et requari dicendum erie L 1 e
; nili insuper, cancundem esse, dicamus, excedere dt deficere.
Nec quidem meliorirarione dicet o FX & 0 = c cancundem
este, quia verobique aequa liter ab 0 recedicur; quam rancun-
dem esse 4 F. 1 e 4 = F, quia utrobique aequalicer recedieur
a 4. Ouodque aic, D. T4F. l. 8. majus esse, quod loneius ab inivio
sun, hoc est, a nihilo, distat; Verum quidem est, dummodo crelcen-
dodistene: ac vero quod decrescendo, a principio luo longi-
us distar, id. minus est. PC lcuci 4 =. 2, minus ek quam 4  1
quia, a communi principio 4, id lonsius dittar decrelcendos
tic _ ob eandem caulam; 0 = 2, minuS CA gnamm O = T, quo-
niam magis, a principio suo 0, decrelcendo distat. OWippe,
quod magis deticie, id minus esti
40 DICIMUS ParICCE, Rarionis item Gcometrica, Fundamentum
ese cerminorum ab invicem distantiam; non aurem, uc prius,
Subductione, Ced Divisione xeRtimandam. Non enim, quia 48 23
acque q e 6; binario paricer distane, ergo et eandem ucrobiq;
diltanciam, qux nempe racionem spectet, dicee Meibomius.
Duanquam enim cum 4 = 2 =- 2, Cam 6 - 4 =- 2; nON CameM
racionem 2 ad 4, 2c9; 4 ad 5 vel 6 ad 4, candem este, auc X qua-
dem, repucae:: Sed 4 ad 2, aeque 8 ad 4, candem esse rationend
dicee, acque eandem ab. inricem cerminorum distanciam, nem
Dediritionalem; quia cum = = 2, tum Z. = 2. Nec quidem
alio senlu rerumeric, rationis duplae e subduplae magnicudi-
nes aegualicer inricem dictare. Peco enim, Amnon eadem BEPA-
tio, guadripondii ad bipondium, acque quadripedalis linex ad
bipedalem e Afirmabit, credo. Froo, inquam, Dictanciae LunE
utrobique aequales. Ouod iplum, credo, Facebitur; cerre inti-
ciarinon debec. Verum hoc de distancia rehiduali (subductio-
ne quaerenda) dicinon pocest. Ouippe rehduum, illic Pondus
est; tric, Linca: ac pondus linex nemo lobrius ae quale dixerit,
cum sinchecerogenea. De distantia icaque Dirisionali incelli-
Bendum eric: nempe linea quadripedalis bipedalem lincan
cocies praecile conciner, quories quadripondium concinecbipon
dium. quipoc ut 2L.) 4L (2, ita 2 P) 4 P (2. Porro, eAto
verbi sraria quancicas A, guadripondium: erit hujus duplum