Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 53v
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: 0.83.
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One image of two folio pages side by side, registered by the library under both labels (also fol. 54r); this page is its left half.
The machine reads it as
- s
- proponatur res hoc modo, pro de ponendo V dissimulando scopo
- 19aa + 1I1 av + 121 ay + 112VBF 122yy = 1 = 0
- catis (200aa + 211 av + 271 ay + 212VV + 222 9y = 2 =0
- quoesitae 910 aa + 91 av 2 +912 avV
- gzoaa
- + 921 ay
- 2320
- =922 9y = 4=0
- 1.. significat primam
- 2.
- 0j.
- 69
- sicuadam
- 120 coefficienter
- t significat s simplicem
- .2 gradum
- quadratum
- Multiplicentur aequ. 1 per stoi aequ. 2 per 802, atque inde subtrahatur aeq. 3 multiplicata
- coincidentietur
- per B+ 900 residuum aequetur aequationi 4 multiplicatae
- Aequ. el per l, aequ 2. per m aqu. 3 per a, aeq. 4 per n,
- et
- sublaaatur summa duarum priorum subtiacta ontia residuum aquaeturtlae
- fiet F. Fioolaa + nlav +12. lay + 12 l vv + 12 l yy l
- Xv.
- +300maa + 21mav F23) may + 212 m vV F 222 m Gy
- 910g aa - 9114a
- =912ar
- 492onaa grinay
- ut l + 2um = gua 12l+ 212m = 912a
- Bgrenyys V
- 1 00c III. 112l = 112. 9H a - 112. 2Um = 11I. 912a - 111, 21277
- compendio
- +11. 2
- M = 1p. 1, 1II. 912a = 112 qua, :, 11I. 212 - 112. 211 = 111912a - 112. qua, :soe
- pendio
- 211. 912 a - 212.911a, :, 211. 112 = 212. 111=212. 911a -211.912a, : 10
- Et pari jure l =
- 92On = 100 p)ron B, 00 10 =, 100. 212. gu a = 100. 211. 912a + 200 - 111. 912a - 200. 112. 911a (910a. N 12
- C1
- 11. 12
- +921n. 1 10 =, 1121. . . . . - 131 . . . . . +221 . . . . . - 221......
- 4922n. 000 = 122 . . . . . - 122 . . . . .. + 222 ... . - 322... . .
- 1
- ed parijure poluissomus praecedere prmulsiplicando ogib 1. per p, aeq. 2. per
- a9. 3 per Y, et 59. 4. per a, et illas a summa priorum subtrahendo factum)
- ex uniducta utsimae, reliquum aequando penutimae ita
- possunt omitti p et g, tantumque prodibunt novissimae aequationes
- tres, ut novi nuper, pro a ponendo Y, et pornutando . 1. cum. 2.
- et fiet (P, 91OY. 50W0 = 100. 222. 921a - 100. 221. 922a t 200. 121. 922a - 200122 92144920, .. 2
- 2. 22 (4)
- FOHY 00 20 = 11I . . . . . . - 11I .. . . .. + 211 . . . . . - 211.. . . .
- 2. 22 (5
- 2. 22 112 . . . . . - 112.. . . . + 212.. . . .- 212....
- 4 912Y 10 20
- Mer a99. 2. 3, et 4, 5, o inveniantur 911, 912, 921, 922
- quanquam revera
- tantum rationes inter has duas inveniantur, remanearque relati inter ret n
- postremi ex aegque. 1 et 4, habebuntur 910, 920
- caeterum contrahentur prius coefficentes ipsam g11, 92) esc. in his baeque
- ic compendioque exprimaatur. Et ita stabit
- H2ieuu 11. 12. non est mutiplicatio
- sebsiguo (M. 12 = 11P. 212-
- - 11. 12, 920n 4 00. 12. 91 a 00. 11. G12a - 11. 12910. a
- 0
- cleo
- 13. EHC
- 21. 22 = 121. 222 -121. 221
- - 11. 12. 921n + 21. 12. gua ( - 21. 11. 912a
- (00, 12 = 100, 21 = 112. 200
- 00. 27 - 10. 212 - 122. 20c
- (() (21.
- = 11. 12. 922n 4 22. 12. 911 a 522. 11. 912a=0
- = 21. 22. 910Y + 00. 22.921 a (400. 21. 922 a - 21. 22. 920a =0, n. 13 - 122. 22 - 112. 212
- = 21. 22 911N + 11: 21 92a 11. 21 922 a 1=0
- =21. 22 912N + 12, 22 92ia 12. 21 922a 20
- 11. 22= 11I. 222=12221
- 12. 22 =112. 212- 122. 212
- 100. 11= 100, 213-112.200
- 00. 21 = 100. 221- 121.200
- 3l. 11 = 12). E= III. LC
- (II. 21 = II. 221 = 181.211
- 22.II =122.211-11.212
- 12. 21 = 112. 2C] - 121. 210
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 53v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0106?run=74