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# Title: [Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ (shelfmarks Leibn. Marg. 0; ZEN Leibn. Marg. 0)
# Folio 115, page id 797435492:0353
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2
DIOCLA 2
DRevicati limul ac perspicuitari (huic aurem praecipue) consulentes
prxcedentia recto dilcursu comprobata dedimus; qualinon mo-
doreritas, opinor, Patis tirruarur, at ejuldem oriso limpidius apva-
ret. Verumne quis, minus hujulmodi ratiociniis adtuerus, hareat,
ilta paucula subdemus, quibus tales discursus communianeur, quorum.
que subsidio non difficile conticiantur Propositorum demonstrationes a-
pacorica.
I. Sint quorlibet rationes A ad X, B ad Y, C ad Z, Cingulae desis-
nata quaxiam ratione R ad Smajores; erit omnium anteCBdeMEIUM
Timul accePtaruM) ad omnes consequentes ratio major rarione
R ad 5.
A. X. IA. M.
B. Y. B. N.
C. Z. C. O.
Nam sint rationes A ad M, B ad NI, C adO Cinsulx aequales ra-
cioniR adS. ergo X =M; _Y = IN, aCZ = -O. Patet igitur
fore A. L B. ) C. X f. Y + ZC A.s B. f. C. M-s. N, J. O.
hoc est A -. B - C. X. (. Y u Z C R. 5.
II. Tlinc patet, Si quorlibet rationes linsulx delignabili quicunque
majores linc, antecedentium summam ad summam consequentium eti-
am delignabili qua cunque majorem rationem habere.
III. Sic curra quaeris A D B, cujus axis AD, de ad hunc applica- L18. 1740
Ea