Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 59r
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: 0.78.
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The machine reads it as
- puis
- aotata per B valet, priora non prosuns
- problemata sumerica in
- eries
- at +txx
- dulectris
- solvenda
- lesto pro verbi gratia problima bx +a = 7y ubi
- b et a data, quaeruntur X et y. Ponamus seriem sumi ipsarum
- progressionis Arithmeticae, quibus aptemquse b et a
- 1
- C
- b dx = 2ydyue + dIdu, et posito ay = 1= fiet bdx = 2yl + l,
- Itaque re reducta ad solam b, oportet (ryt +l, impares ordine sumtis
- solos eosquadra
- om b ompolles ordine
- e
- t
- 1
- s
- fure isos ax poso, sex datis imparibus 2 ri ad 2yl es dantur y
- posse qui divisitiies sint per b
- nempe ab imparibus sublinhendo renitatem Il, et esidum samendo dimidium
- Habemus ergo quadratom
- vu aquisudctraris a opotetio qui quadrares
- .
- qui tenglandi a quibus ili sol
- Esto
- succedent qui detracto 10 relinquime divisibilem
- dX +10 = yy
- bx + _ = 1 2= bdx. Ergo eligendi
- ex +a
- bx + a = 9
- Ergo fb
- impares sunt divisibiles per
- bdx +da = 29+1
- si impar sit 13. eut X =6 et quadat
- = 36c
- bdre = dZ
- bx +a = Z
- bda + dda = 2 Ergo dax
- x progressionis prithmetrcae
- sumamus potius
- oet
- t
- az+ a22
- = d
- et
- bdd de + da
- sed bddx= Elgd fiet ada = ada
- +Se a=
- impares divitibiles per b. sit b = 13. Ei impares ernul 13, 39, 65
- 3 horum primus est cy fiet bdx = 2y4
- per b.
- ia
- - 1
- e
- 0, sed ddp =0
- et faciamus bx + a = 2
- bdee
- d
- Cae
- IdasL +2(7d + 2d2cl 7
- + 2ddzauz
Cite
Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 59r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068207:0117?run=74