Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 345r
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. 346v); this page is its right half.
The machine reads it as
- Quaeritur pro valore ipsius X, formula irrationalis extribus quantitatibus
- irrationalibus et una rationali, in unum additis constans; ea lege
- ut sive ad X addas b, sive c, sive d, possit ex formula proveniente extrahi
- radix quadratica.
- Forma hujus Formulae sit
- a x = pim + qun + rImn + a5
- ubi l = 10Z+ na M = 20Z+ 2a R = 30Z + 31a. Sed has significa-
- tiones non erit opus substituere nisi in calculi fine, ut scilicet compendium laboris fiat
- et identificandum
- itaque debebit esse
- poem +q in + Y Im + a5 aequale, quadrato alicui a radice, 112 um = 13 sn
- ab
- quod et
- 2.13. 123 Mrm + 2. 112. N23M sb +2. 112. 13B rmm Fom
- psidentisicandum
- 2. HS (. .. +2. 100. 43f. . . + 2. 100. 123f.-. p 25
- pilm +q un +r Smatas aquitosbadrata alicu a vabla, 212 stom L. B n+ 2e5.) mh + 200g
- quod erit
- s
- 2. 313. 31ypl 4 3. 202. 223mhr L2213. 29 blmr r 2
- 2.200. 2129.. 2.200. 2139.. 2. 20022491. 213
- 125
- m +qn +Y Int+ as aequali quadrato alimia radice, 312 m + 3 13 Vn+ 33 sum + 300h
- perit
- 2313. 313 lm Y 2. 3 12.323M fln +Z. 312 913l f 312
- 2.300. 3uho. 2.300319.. 2300. 323.
- BIn
- 32
- 30
- axtac =
- et identificandum
- comparationem astitula boippat, cibsvis nempe ex tribus quadratis
- +X +ad
- Habebitur P ter, item 4, item Y, item s. Nempe p tuim sertificantur termini affecti per
- ut
- cum eo cuj est identit
- irntio Nempe p dum identificantur termini ass per irrationaem m
- n
- sic
- sun
- 10899
- evelipsinus q un ipsius a secundo (tertio
- mere rationales
- 2. 312. 3c1
- 2,212,21
- 2.300. 5
- F31. 3
- V
- 313. 2
- 3Et. 3e3H
- 30ei
- prigmqvalor ipsius p in eo tantum differt a posicricti
- p. = 2u13. 1232
- 2. 100. 112f
- q
- p l 3
- 2. 1B. 1135
- p = 2. 1lt
- (10)
- a5_ + 112. (12 lm
- 113. 113 In
- 123. 123 un
- 100. 100 85
- =c213. 22n
- 2. 203, 2129
- 212. 2231
- 2. 200. 21 9
- P 2. 212. 2.1
- 2. 200.8
- (11)
- ar22bn
- 23. 2h In
- 223, 213MN
- 200 2004
- ac
- Hactenus exhibuimus duodecim Aequationes identificatorias Fundamentales, seu praeliminaria
- Nunc id agitur, ut hinc inveniamus, tum ipsas
- in etiam nislatendo tumun ne tum sas l, m, n
- calculi, quae nullo negotius scribunntur
- ex Z pendentes. Quod oltinebimus opeae savendo ne unquam valor talis indeterminatae habetur
- i et
- indeterminatasq s,um etiam ipocot
- per mepas determinatas. Id vero obtinesimm ope aequationum auxiliarum destructitiarum, per
- 10, 15
- quas habebuntur ipsae valores determinaterum pro arbitrio assumtarum, isu
- 212, 213, 223
- 314, 315, 112
- quod pro 100, 112, et C. ponitur 300, 212 etc et pr (300. 3, 24
- isius P, quod pro n ponitur M, et 012 ac 013
- Dalores ipsins
- Valores ipsius Y tantum in eo differunt a valoribus
- permutantur
- psio
- quod pro B ponitur l, et e12 ac 023
- permutantur
- primus valor ipsius as prs dispert a
- secundo (tertio) valore ipsus ejasdem quod pro
- 100, 112 ete ponitur 200, 212, ete (362 313, CH
- et pro 5 ponitur 9. (h) et pro. 6 ponitur C, l
- utum
- H pro 5 ponitur 9,
- eo
- differunt a valoribus
- 20, 21
- 30, 31
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 345r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0685?run=74