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# Title: Solvtio Problematis A R. P. Marino Mersenno Minimo Propositi (shelfmark Leibn. Marg. 230, Stück 2)
# Folio 6, page id 1815206918:0011
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CWHLLKMIATIONES
Rx OVibuS OmnibUSACEMAHIFCIEMIM,ABA SI dAEX SnE A _E C quanEIEATES, Ca-
cumque Logarichim a ccrlla le dalai LGla stere na ee peeua
TunE A e C quancitares, quantum cumque seriesilla exrendarur aut dinictatur auE
mulciplicetur (quod sieri pore demonstrabitur l non posse introc caluinueniri
Logarictimum quancicaris L, ac proprerea male propolicum cse Problema. AEque
ex hocipsolimitacionem inveniemus, qua constringi Problema debuerat. sicque
in ordinem redactum ad Geomerricam constructionem reuocabimus, quod mul-
lis videbatur legibusposse coerceri.
Veautem hisce quaesitis Geometricorigore Faceremus Paeis, poristima doctri-
Aa Parris quarex l. 7. de FIyperbola, ex Opere Geomerrico R. P. Gregorii, repe-
cenda hic foret; fundamenca enim doctrinxe que L ogarichmos complectitur inibi
continentur. Sed quia nimislongum id torer catui eres quaruorre Propositiones
hisceinserere, quae insticuro nostro faciane lacis. Demonstrationem ipsamnon
apponimus breuiraris gracia, proposicionem ipsam expoluise contentiive quibus
iplum Opus Ceomerricum RL. P. Ciresorijad manum non fuerie, incelligane niti-
lominus quaenam isthic veritasproxonatur; sicque demonstrariones noctra, in
quibus illa cicabuntur, clariores cuadene, manitectiorque tec veritas.
PROPOSITIO PRIMA.
nex AC punetis  F, CCb alalecla nu , M LL.
DR, C, I,BH, qua sincincadem rarione cum lineis AB, AC, AD, AF,
AF, AB.
ei sunEAV, AO, qua ad rectos an gulos sibi invicem eriguneur.
Aca quavis scriclincaru e. que cande
Prationem COnMBEMEAa AC, CrSaMEF ad aHGMIOS TCCtOS H-
Dico puncta FI, L,KL, L, MI, N, ac. esse ad FTyperbolam cuius alympro-
Demonstratio.
DAcet ex 298. lib. de Hyperbola. omnia enim rectansula AHI, AI, AR, AI,
AM, ANV aequalia FuNE.
Corol.