VII3A.pdf

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N. 2 differenzen, folgen, reihen 1672–1676 15 1 Totum 2 3 1 3 2 Totum 3 1 1 1 3 3 9 1 3 1 2 1 + 3 3 3 . 2 1 + 9 9 . 1 9 2 2 1 − 9 3 3 . 2 1 − 9 9 . 1 9 1 Ergo inter 1 + 9 1 1 3 9 2 27 1 27 2 81 1 81 2 243 1 243 1 − 1 3 2 9 1 9 2 1 + 27 27 2 1 − 27 27 1 9 1 27 et 1 27 1 27 2 27 1 27 . etc. = 1. 1 3 . = 1 3 etc. valet 1. valet 1. 1 1 . . . etc. 5 9 27 1 1 . . 9 27 etc. differentia est 1. 10 Ergo abiecto 1. a maiore fiet aequale minori seu 1 3 1 9 1 27 etc. = 1 − 1 3 1 9 1 27 etc. Hinc inveniri potest quantitas differentiarum servientium quae additae primis dant summam. 15
5 10 16 differenzen, folgen, reihen 1672–1676 N. 2 [Zusatz] 5–9 1 6 1 15 4 3 9 18 16 60 25 150 36 [315] 3 6 4 15 5 30 15 45 18 54 2 6 3 18 6 60 1 1 1 3 1 6 1 10 10 1 150 15 1 21 6 18 1 gestr. L erg. Hrsg. 11 315 erg. Hrsg. 30 2 3 3 18 4 60 5 150 � � 1 6 � � 1 15 � � 1 30
Page 1 and 2: G O T T F R I E D W I L H E L M L E
Page 3 and 4: LEITER DES LEIBNIZ-ARCHIVS HERBERT
Page 6 and 7: VORWORT . . . . . . . . . . . . . .
Page 8 and 9: inhaltsverzeichnis IX 386. De serie
Page 10: inhaltsverzeichnis XI 682. Inquisit
Page 14 and 15: Der dritte Band von Leibniz’ math
Page 16: E I N L E I T U N G
Page 19 and 20: XX einleitung hin, gefunden hat, di
Page 21 and 22: XXII einleitung Marg. 98); A. de Sa
Page 23 and 24: XXIV einleitung das mittlere Glied
Page 25 and 26: XXVI einleitung mit einem jungen, n
Page 27 and 28: XXVIII einleitung Nützlichkeitsged
Page 29 and 30: XXX einleitung bestimmt ist (N. 24)
Page 31 and 32: XXXII einleitung wird. Wechsel zwis
Page 33 and 34: ZUR TEXTGESTALTUNG In der Textgesta
Page 36 and 37: 1. DE SUMMA NUMERORUM TRIANGULARIUM
Page 38 and 39: N. 1 differenzen, folgen, reihen 16
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A A − B (= [B]) B A − B − B +
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