Philosophiae naturalis principia mathematica . tranfibk SuntopunaadataB, Bx, B3, B4, B;, B5, B/, &c &^, 1^;.^^^^ ^^7 demitte OrdinatL jperpendicularife? B^^^^^ Etfac-^^=^, --i^=^x, A3B3—A4B4_/, A4B4-A5B; A -A3A4 ^3» --a^at— = ^4 > A5B;-AgB ^^=^3, &c.*^-:^ ^» aIaI = ^2-, A3A7—^^j 0^:0. Sic pergendumeil ad ultimam differentiam. Difterentiis fic colledis & divifis per intervalla Ordinatim applica^tarum; in alternis earum Columnis five Seriebus vel Ordinibus ex-cerpe medias, incipiendo ab ultima, & in reliquisColumnis excerpemedia Arithmeiica inter duas medias, pergendo ufquead fe
Philosophiae naturalis principia mathematica . tranfibk SuntopunaadataB, Bx, B3, B4, B;, B5, B/, &c &^, 1^;.^^^^ ^^7 demitte OrdinatL jperpendicularife? B^^^^^ Etfac-^^=^, --i^=^x, A3B3—A4B4_/, A4B4-A5B; A -A3A4 ^3» --a^at— = ^4 > A5B;-AgB ^^=^3, &c.*^-:^ ^» aIaI = ^2-, A3A7—^^j 0^:0. Sic pergendumeil ad ultimam differentiam. Difterentiis fic colledis & divifis per intervalla Ordinatim applica^tarum; in alternis earum Columnis five Seriebus vel Ordinibus ex-cerpe medias, incipiendo ab ultima, & in reliquisColumnis excerpemedia Arithmeiica inter duas medias, pergendo ufquead feriempri-morum terminorum, AB, AxBi, &c. Sunto hsec >^, /, m, n, Oyp^ ^, r, &c. quorum ultimus terminus fignificet ultimam difflsren-tiam; ^nukimus medium Arithmeticum inter duas penultimas; an-tepenultimus mediam trium antepenultimarum, &c. Et primus kerit media Ordinatim applicata, fi numerus datorum pundiorum eft im-. 104 METHODUS DIFFERENTIALIS. impar; vel medium Arithmeticum inter duas medias, fi numeruseorum eft par. ... C A S. I. In Cafu priori, fit A4B4 ifla media Ordinatim applicata, hoc eft, ^fitA^B^zz/^, ^^=Z/, cizzm, ^—n, ezzzo, ^±^=p,g=<j. Et ereda Ordinatim applicata PQ, & in Bafi AAj fumpto quovis punfto O, dic OP —.v, & duc in fe gradatim terminos hujus Pro- greilionis ix;^—OA4xA^3g^g^^xi^^g^^H^Z:?^^^+5A6-^&c. & ortam Progreflionem aflerva; vel quod perinde eft duc terminoshujus Progreffionis I X X—OA4 X A—OA3X jf—OAf X *?—OA2 X A^OA6 x a—^OA x x—Otq x&c, in fe gradatim, & terminos exinde ortos duc refpedive in terminos hujus Progrefllonis i.;,_th£ii;-tt_0A5^;f_+^li±2A/,^_±0A-toA7^ ^c. & orienturtcr- mini intermedii tota Progreflione exiftente ^._:^^.oa.+oa.^^oas±oa;^q^^^ g.^^ Vel dic OA:=:^, OAi=/3, OA; = y, OA4 = ^, OA^-^e, OA5 ^^,0A7 = .j: ^^^ = ^,°-^-=%,^^=A. EtcxProgreflione IX jc ^xA?—j/^;^—gxjf^/SxA;—^&
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