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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 55, page id 826603459:0551
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De Proporiionibus Dialoeum.
 Sta er 407SIV, oSond  X0y  es  nionIOr Ear
dd Eros aecdu RMpdSt reINdOLES TE ny TET C9MNaSIO. n noxIr
nIORIOS TE ni SLXNASLO STIZCLTOV HOIESI NOZOYO, TE 7C7PaNNd
810 ad e95  reLKaSIOV, a o SWwSIO ves + nV IONtOV 105
7E 3OCO oVPCVOTECEr 651 70 S1a XaSoV 7E SIa HEVTE, 20087C
soUPCOVOTEe Urea n 20 Sis Sia raocoV ZE Stu ravV n Aa
erIe. Ouae vel Mcibomio incerprece, sc Conant Larinc. Bis
aia pason consonanria (nempe, Z X Z = =) ita se habet ad dia pen-
te e dia pason, (nemDe Z X Z = =,) hoc est quadrupla ratio ad rriplam: WI
sola dia pasoni (=) ad solam dia penie (Z;) id est, dupla rario, ad sesqui-
alteram. Si enim unius e ejusdem numeri (Duca 4) sumantur iriplus
e quadruplus (nempe 22 _ 76;) e rursus sesgnialier  duplus,
(nempe 6_8;) super terriam rarionem (=) faciunt es quedruplus
ad tripium (26 ad +2,)  duplus ad sesgnialierum (8(2d6.) A-
deo ul, quanto consonantior est dia pason consonantia ipsa dia pente, tanto
sit consonantior bis dia pason quâ dia pason es dia Fente. Adeog;rion ve-
ceribus rancum, sed _ Harmonicis, (quo cocies provocacMcibo-
mius; qualihi Coli sinc racione gnari; aliiq; Calcem funiores, quod
rerum naturam in C’anonicis nunquam considerassent, quid ratio esset, ie.
norarent, P. 196. l. 1. _ alibi pastim,) Taris receptum videmus
hunc loquendi morem. Siquidem, cum rationes, Pcolemao
lunc denominatoribus luis proportionales, (quod vult Grego-
rius;) nempez. 7:: =. 3: : 4. 3. Concra quam vuleMeibon
mius: Tumetiam, uc ex Porphyrii in hunc locum C’ ommen-
cario ligner, D. 19T. l. 39.  2d SoNasadeISouer nIOX1O, 
eCXNaSIOV OIEI o) SernaS,  nteaNasiOr. ni rr auror 
nozor EX 0 2E eg2na eS ro Sndior  o reXnaS1
apoS YdV vuIONIOr. Fienim duplicarus sesquialter, facii triplum; e du
plus, guadruplum: ideoque eandem rasionem habet quadruplus ad daplum,
quam triplus ad sesguialierum. Ouod, quid aliud Hc, quam quod.
in Theone, canco Prepicu, damnac Meibomius, (Ear 20 rec
MNaSIOVVO SINaCLaTOUEr, VrE)) aurs dEaVNasIOV,) Cgo lane
non incelligo. Sed e ejulmodi paltim apud alios loguendi Fora
mulas exstare, non admodum ridecur dubicandum, si modo
id operae precium esset inquirere
Imos inquam, _ iple Meibomius nonnunquam, InCAUTUS.
perinde loquieur. Cum enim alE, P. 172. l. quippe nibili mi-
B0
4 a d in sesquialtera ratione debilius est mistum 6 a HOC CH,
mictum