Leibniz-Handschriften zur Mathematik LH 35, 7, 11, fol. 7r
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.80.
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The machine reads it as
- 29. Junij 167C
- i
- +X aequ.
- FX Cae
- De ex pressione potestatum
- et summis reciphocorum
- + im AX + M - 1. B
- sive
- CX
- 2
- X + m- 2
- + M = m + 12 M ∞ 1,2, 3 M
- 1
- + 113
- 1, 2, 39
- +2,3
- Cx et
- D.
- absolvendo multis licationem: servint haec
- l1+X aequ. 1 + m X + M - , M X + m - 1m + 1, 2m X3
- 1, 2,3
- series ad summas
- hujus modi sericium
- timrationalium reci–
- procarum, quam irra
- tionalium in numeris
- veniendas.
- 4 m = 1M + 1Z n 1, 23m
- 14
- 2
- 3
- 1724 4 173, 2M
- 112,4
- 214 273,7
- patet quemlibet Terminum fieri ex ducta continuorum in se invicem.
- tel
- m 1+X aequ. 1+
- 12,3,4,5
- _,mX + B. m m-1 V
- + _, m m- 1, m- 2, m.3, 4
- 1,2
- C
- X
- Videamus quid frat si valor inventus ordinetur
- fiet:
- 1+ X m
- e
- +1 X m
- = 1-2 1
- Cr
- LMomM -1, M - 2
- 172,3
- 13
- secundum M. Scilicet
- si m sit 1 debent destrui omnia peleter duos pri–
- mos terminos 1 et X n seu 14 X. Hinc sequitur
- MHO et + 12 1t2
- 11
- destruuntur ultra tres priores terminos
- Valdenotabilis reductio
- sunt ergo summae ex ductis an natura
- libus in triangulare;ac per
- consequens etiam summabires
- invenori possunt hae summae
- sunt ergo summae ex ductis prae
- cedentibus (id est summis ex naturatibis
- in triangulares duc) in naturales
- s
- 1+
- 2
- Eodem modo: 12
- 2
- 3
- 2l, + 3,3, +4
- 172, 4
- +13,4
- 213
- 6, 17 (3, 12, +2
- 11, 2
- ,3
- e
- yt3
Cite
Leibniz-Handschriften zur Mathematik LH 35, 7, 11, fol. 7r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068082:0013?run=73