Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 114r
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
- SUse
- 27 (1mo)
- aq+o+ ab = S sit 2do) = C t Ex + Sux et Cno) ( g+ hx + L X. et f
- PagsBs agcc + 29ceX + 2gC f XX
- + que n + 2get X + 9st X se congendium sit (610)
- abi d = ab gg + vg h X + 2bgK xX
- 4
- aa
- ae
- + bhh XX + 2bhKX + bKK p
- 2ito) aa
- a3
- C_ = m + 4 mnX +6 mmuxs + 4 mr X + 1t qet
- A = Bleaqc e + abgh B = agef + abhk
- C = agee + abhih. + 2a9cf + 2abgk
- D = agce + abgsg C = a 95f + abkK
- Hinc ex 5 et 6 fit
- (mo)
- Hinc ex pet 6 fit (ymo). A = 2mn et B = 2 mn, et ) C = 5. ma et D = m e E- n
- ) et ED6 m n AM = 4 me n. Ergo ACd = 6AA seu 2CD - 3AA (8V0) 2Cd = 3AA. et
- similiter B (9n0) 2 CE = 3BB _ denique AB (10mo) AB = 4dE
- Ex 7 facile habetur m et n, nam mn H (C: 6). Et ( + B): 2H(C: 6) mm+nn. itaque per A, B, c fale habentur
- plane tam m, quam n Nunc in a49. 8, 9, 10 substituendo valorem ex 6, habebimus fres aequationes
- carentes ipsis m et n, nempe ex aeq. ( fiet (130) 3 () (gef. + bhiX) = 2, 9fft bNk, qeerbut 29cf + gee + 2bgk + bhk
- compendii causa
- et ex 8firt 141) 3 1 (gect bhgs) = 29 cc + bgg, 29cf + gee + 2b9k +bth
- et exiohuilis to) Pqee + bfg, gef +bhK = 4, qec + bgg, 4ff +bLK.
- vel B
- vel A
- sit . sit (166) O= qef +bhk et D(= gec +bhg et 8 vet E = 4sf +bKK,
- et d vel E = 9f5 +bHK et Q vel D = 9cc + bgg. et 4 = gee + bhh et T = qcf + bgk
- sit C = 2 + 2h et ex aegq. 13, 14, 15 frent regu C92a
- ett M X aX
Cite
Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 114r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068124:0227?run=73