. Commentarii Academiae scientiarum imperialis Petropolitanae. DE FRACTIONIBFS CONTINFIS OBSERV, 31 quod lex , qua valores P> Q., R, S etc. formantur, ftatim declarat. §.2. Si ergo viciflLim haec propofita fiierit feries in- r ' B BD , BDF BDFH , ^^ ⢠r nnita p â pQ^-f-qr: â -^j- + etc. cius lumma commo- de per fradlionem continuam exprimi poterit. Cum enim f>t C = P;E='^; G=^^ 1= ^-"-^, etchabe- bitur fradio continua illi leriei aequalis haec : B feu B ^ ^^R-PP â H , Il-FP-+.HaK a -T-S-HQ, K __ S-HQ-+-KRS H 'i etc "TicT » Qiiare fi data fiierit ifta feries --â |


. Commentarii Academiae scientiarum imperialis Petropolitanae. DE FRACTIONIBFS CONTINFIS OBSERV, 31 quod lex , qua valores P> Q., R, S etc. formantur, ftatim declarat. §.2. Si ergo viciflLim haec propofita fiierit feries in- r ' B BD , BDF BDFH , ^^ ⢠r nnita p â pQ^-f-qr: â -^j- + etc. cius lumma commo- de per fradlionem continuam exprimi poterit. Cum enim f>t C = P;E='^; G=^^ 1= ^-"-^, etchabe- bitur fradio continua illi leriei aequalis haec : B feu B ^ ^^R-PP â H , Il-FP-+.HaK a -T-S-HQ, K __ S-HQ-+-KRS H 'i etc "TicT » Qiiare fi data fiierit ifta feries --â |-|-^ â |_|_l__etc. ob Bzz^'Di=:/^:^;F3=^:^; H=:^:r; Kr=^:fl?, etc. et P=/)-Q-^^:/);^Rz=??^;Sz=^j:pr-T-/)r^^i;etc. huius feriei |-|-4-^âj--j-^~. etc, fummae aequalis erit fequens fradio continua : a a. §â¢3- Vt haec exemplis nonnullis illuftremus, fiima- nuis fenemj-2H-i-. + ._.^_etc. cuius fumma eft â 12 feu âJ~d poft integrationem ponatur a-=i. em ergo a = /,=c=d etc. = x;p=x ; ^= 2; ^=3- ^-4; etc. atque p=i;aq-l,p=i- i,r-,a=zi-cs- ar=i, etc. ' ^ ». Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Imperatorskaia akademia nauk (Russia). Petropolis, Typis Academiae


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