# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067993:0243 # Permalink to this reading: https://leibnizlegible.com/page/00067993:0243?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1 # Folio 122r, page id 00067993:0243 # Scan: The same scan as fol. 121v (00067993:0242), where its text is given. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=243 # Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000243.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 193 lines, status machine # Lines: 193 recognised, mean confidence 0.82 # Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. # Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text. # Wording rule: say "the machine reads it as …", never "Leibniz wrote". # After the first blank line: the recognised lines in reading order, one per line. t AY. CAB 2. F rectanu. CXY aequ quad. es. suie L it CXe i. eut ARr L. et CXF 14 4s et 27) Xp p in 10 1o0o ruvooon 50000 Cx BeB. A 24 19296. 17 24 13,4 V. 124. 3 qu quare spatium VX p 3. 4, 000 = 13,400 + grs. 0 = 1, 2, 3 24000 = 1200 + 90 - 6 1 - 1 06 240000 40000 1000o es auten l B +o ergo l’e oo et 7 43 17 1000 i 1 0bo ergo si addamus l. -+ habebinus tam prope ut errorsit mina quam N 114327 C0. er 1437 120000 s et redicendo aed unum denominalorem ((446) 8 864 d c0 - 360202 + cst 1496016430953 005281645045 70897585400 exerbec2e4 42563027590453 ergo I L. L + 31728 (3 u s 10269203303494983 fr 103680000,0000 nen I quaeramus a logurithmum itupertolicum numeri 120000000oiu A 942563(027590453 1114048 00 00, 00001000 0 ergo spatum VX eut 2400000000 10368100019, 0000, 0000 A1 1 942563027590453 94 275630 27590453 differentia: portu quae Logunthuoctum tabularium esse debet. Sit ergo CX 101 H 1+ i 121000 .2BF 4 )1937 Isesi jau ex dato s Z, l. eut ANEin. B = + C est , to 437 56800,00000C ia so 20000 24000 excestus parto maxt quam por non est. 520240 ut duos 6 23880794 10058 0365 1068 114048 11940397 190000,0000 (4200090000 Loga 114370000 boligs Jam Logentumus Tabutaris ab L est difcrentia inter logertBomum ab 11. qui est 10413927 et lognictuntum ntim. By b. ab 10c ad 194039 0do erit 203000o 4000o puo etc seu At supraloganthumus Hyperbolicus ab erat 11422, vel 114370000 er lognitimus Hy prbalicus ab i Et loganchnus Tabularis ab ist est disserenta inter logaribimam ablioi, qui est: 2004q e et tognitmam abioo qui estre dooee quae differentia est over 2tt B log. Tab. ab. 10.- Ergo LRatu Log rab. ab i ad Leg. Tab. ab 10r H 4 13927 100000 0 so 43214 que ratio debet esse ae qualis Rationi Logaithmorum Hy plibolicorum supra inventae. 114370000 Ergo multiplicando percrucem dibet cinitr prodre idem 11940397 41927 8342779 23880794 107463573 35821191 42161508 11940397 47761588 qy42+ 52709019 (4942 385180000 00 0006752901 1194 1338 134 huo resaccumtius discntienda 114 370000 31 45740 +912585 180600. et enor + 4242585180000 A9 42 45270981 9 01 1940397- 42. differentia inter 494245 2709019) qua prodeunt et 4942385180000 0000067529019 ergo error est 0000067529019 vel 000067529019 non im log. Tab. ab 1 Eog. Hyp. abie +3214 in 11940397 413927, e 1in14370000 ad Log. Fab. ab 10) ad Log. 1y ab. 10 posterior e nor si ponimus log. Tub. ab. o Con. trp. ab1ot ad logitab ab 1 R loy. brq ab i unus scilicet si quari lus ponendo Tabulares aeccuratos pontmu: loy. Ayperboeteum ab 11. ex datis duabus Tabularibus e Hqprvolico ab 10 quarimus; alter si contra. suntque hi duo onors inter se 43214 ad 11940397 sed utrobis modo certum es ertorem esse minorem quam 700o Nam 43214 in 11940392 est quantitas quam sumndo sumendo 43000 in 11940000 fit 513 42 (0000000. est pr 67529019 faciendo 2000000 fit errormin 6753 1342000 BAZ00∞ 7 602 A833. Jam β1342000+ Ergo error non est Se pro 413927 faciamus 413000. fit 45748 Ueno cuno modoero est tmraguar alleri adur quad LH o F LY + et LH B LH 1 , ut L7 18 LY LF 10t 67530000 sin sumamus 413927 in 114370000 5000 4 11437 183 348 47234810000000 et pro67529091 ponendo 70000000 enora ein minor quam 1d est minor quam imirum si quaeramus logerichumam ion pertoliaum ab I ex datis Tabuleribus ab in et 10 et Hyperbolico ub 10c fit prspriore 600000ctr 422, 19 4 ~0297, Ai3D qdeber essep 11917000d I 12,00090000n +3214 1200000080 uo d quatilatus est et reducendo ad communem denominatorem fiet: t B.4942452709019. quo posteriore 4942385180000 differentia est 257529010 51 856800000000 nentus ex assimtis tabuleribus es cedis cum qui virecti ex ipsa Hypertole inentus est8G 1 8 698,0000,0000 11940397 27854 Quaeramuscontra LH ab 10. ex dato LH ab H ex LF ab 102 ex ab per LH dt B) E7 +ot, LA 4321a, 14 370000 nteresse eecue Felucendo ad commonem bemominatorem fies puo priore , 4 494045 Y6gor 9 et pro poseriba A L7 id 4942385190000 4892 0 13 4967124 100011003 =12 0000vo, in 45 2967124,0000000 sa diffecutia Logerithmus. Aquitolius ab dies inventus ex assimtis Tabulmribus deficit ab eo qui diresti ex ipse Ayuibola inventus est. 496124 000806 13124 es ex spatium VAs 1 200 3d 1572 130804959 54829814 32414907 10oep 1308049694 15634783 392614907 523219876 0804969 13080496 470897818 4 0000) 100000 inver erit XDp XZ ,3, 4 0000 =14q 864 12c 10364 328 C loganitimos ubtamus, quorum eadem e YXB 11437. 1 F 10oco a 43711. H 1 e 36ao A 11422 98 5748 508092 413927 unithmum yperborocum Saig a 13080 +9 144090000 20 1aglo1on30+5 2 2. 34, 6 - . 390 + 6119,0 - 111 3 24 000000 - 1200 00 + 800 - 6 1,2,3,4, 0000000000 13214 86428