Leibniz-Handschriften zur Mathematik LH 35, 4, 16, fol. 8r
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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One image of two folio pages side by side, registered by the library under both labels (also fol. 9v); this page is its right half.
The machine reads it as
- 10
- 38 XX oa
- e
- Divisor k dividendus 1.
- 10X + 11 20XX + 2IX f 22
- 20 X R+ 2IX + 224 + 2
- 1x
- quotiens
- dividenius 2
- F2I X + 10, 22
- squotiens
- a quotirus.
- +10. 21X ( 10, 2X+ 10. 35+104,X
- dividendus 3
- 11. 11. 30 -H. 10
- possunt imposterum quotien tes omitti, quia primo
- 20X AL LRX +23XF24
- =1t. E - 1 = 1. 10
- 210X) 41. 10 411. 21 FH. 13
- 10 -14
- divisor WX +IF
- Dividendus 1
- 20X +UX, 2XLX+24
- 2)
- dividende 2
- +10. uX + 10. 28X+16. 24
- videndus 4
- Oividendi ubius iidem ot
- +18. 23X + 18. 24.
- +10.1F. 2.
- Retid. Refid. 120. 24
- sufficit per dividendos intelligere priccios ermines seu
- = 15. 11. 23
- = 10. 113. 11
- quotientes) nam reliqui non variantur nisi multiple
- caudo per potentias ipsius e0. Arta residuus ise est
- inter pricu huqu disconi consentit ultum dividendo
- An quatituli prspe mas horsionis
- (0X + H sividuntur
- +20XX +10, 20X
- 18. 21= 11. 10
- 16.10X + 10. 11
- t21X +10. 2a = 11. 205
- Resid 28,: 10X 41
- +e2X 10.22 = 10. 11. 2 + 11. II. 20S
- 21 1918. 23 - 10. 1I. + 10. 11 (- 18. 20, :10.
- protiens +idililitis
- 11Oux 410. UX + 1023X +24
- dividendus 3
- divide BE quotrens
- quot. div.per 10
- -113. 20:10 710.22 X ( 18. 23 piorid
- = 10. 11. 21.
- F I1. 11.20=
- =10, 11. 22
- + b. V1. 2
- +4220
- (0. 20 X
- 2IX f 1O: 2 = 10. H. 20,X
- 20XL3IXHXI3. AZOXE) div. perio
- sividendus
- dividende2
- diviper 10
- termino. dividendi consentiunt nesid HB. 13
- 1ad. Ite
- F 20X(1 18
- 121(2073
- F b. 1I. 20)
- 11. 20
- +o.
- divident. 20
- Retid + 22)1, 5. 27 - 10. 4. H + 11. 1120,. 10X
- =1. 20.
- sansitns
- Divisor 10X + 11
- vore
- = 10. IL.H
- ost
- Quarientes lont aggregata residu
- Quotientes sunt aggregata residuorum ante
- riorum.
- A B C
- ABCdEFG
- MIBICIdIEIE
- EA2B2C2d 1E
- 315B) C3d
- B- 1 A = _1A
- ime sufficit enumerum
- loctente et residuos C- 12A - 1A = 1B
- 10 10
- +40. 2L- 1120
- aponatur ChaEdivitorC 10X + WX + 12X + 13
- geotens
- diviter diridendus1
- 10x + 11
- 20X+ 21 Resud. 10. 21
- quotiens
- 10XY
- 1OXXLUX+
- 20XX + 21X +22f
- = 26XX = 11. 26X
- 10. H1. 21
- 2+ 112. 20
- Conseoliuot pasidui divitionum 20 X ete per tox et et 20X et
- 218. 1690
- per 1dk ete, et 20X et per 10Xl
- Et goneraleter
- ivisohis et dia denl, cabine divisones resiandum eumem,
- nisi quod un inferiorious cbanescunt merbra habentia literas quae
- in inferioribus desunt. Unde et Residuorum Terminiquem
- eul primu primo, secundus secundo etc. sed inferiores carent
- ultitur, penultimo ete. quia ex hi exliteris s an
- fevis rosteriores.
- coifficient e ipsies X quuad utugratorem, tunc
- eriduns in eadem divisione est continuatio Quotientiss rcepta differentia
- abAtratas ab X
- ubique habentrus
- in X et 10 si ais X vel eiq po si nu ofids
- Primu primu secundus 2d0 etc. Et genermliter divisionum,
- in quibus eadem differentia mxi prirorum ferminorum
- et e potentur, et unumquemque numeratorem dividas per altissimam
- ta quam habet potentiam ipsius 10
- 0a+
- =A. 2I 11. 2t. ID q 11. 30
- + mtta v: W + 11. 1I. 21318
Cite
Leibniz-Handschriften zur Mathematik LH 35, 4, 16, fol. 8r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068013:0015?run=73