# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068196:0683 # Permalink to this reading: https://leibnizlegible.com/page/00068196:0683?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1 # Folio 344r, page id 00068196:0683 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 343v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=683 # Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000683.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 99 lines, status machine # Lines: 99 recognised, mean confidence 0.78 # 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. o= 91+IIa +21b +31C ex ∞4. 15 0= 02+12 a 122b+32C ex aeg. 16 o= 03+13a+29b +33C ex eg. 17 l 1= 2 13 =h O1 = 2. 16. 520 - 2. 30 - 240 11 = 318 15204 5a. 130 2 = 2. 30. 510. 530 O2= 2.13.530 -220 -2. 10 12=220. 520.530 63- 2. 552 6. 630-2. 10 - 2.40 19, -2. 10.510530 13. 2i 3i 31 = 2. 30.510.550 22~10.516+ 20. 520+ 39336 32=2. 20, 510. 520 23= 2. 10. 510. 520 ubi oanes simplices u termini non nisi n 33 =F0, 510 + 20. 520 + 30. 538 Obi omnes litere velorem habent auius membri preter eas quas et 11, 22, 33 sunt copositi ergo earum impediantur et, et, ot, et ubi valore, ipsarum 01, 62, 83, ex solicatio differatur, caeteris ergo explicatis fiet = 8.10.20 3. 90. 520. 170) + 4. 10. 30. 510. 530, 10. 510∞. 520+ 30.130 +4. 10. 20, 510. 520 10. 1d1 20. 520830. 53d 61. 10, 2030. 90. 52a538 3(. 10. 510 10. 5id 138. 5d 20 qu. 3rd. Be e i sio s +4, 18 5105, E3OH -4. 600510,525gC 3.40, S10. 52M = 4ba. 510. 50. 2 520 53C) 49 360 5IB. 520 5d) =4.40+ 10. 51d 12.1020) f2, 000. 20. 570R L2ionosio Sib tEtoge uis E ro2sosio 3 6. 18 20. ga to. 310. 10) . q uno sed su 403. H. L2= =420. 30528536 13 - 03. 12. 21 = - 4. 2030520.530. 03 e1. r2sso = id d peio nd a -13 2231 119. 20. 519, 5210, 3.18. 30. 310. 530 3. 10. 25. 510,530 3. 20. 30. 520. 53 (3. 20. 30 520. 536 = - 14, 1B 2c. 515. 528, Gorsti 2 Sd 4 3aso 10. 510 = 418. 1. 518. 530)0. pi t 1e s9 130 330 itaque tandem fiet: 250 2( 230 = elo aeeu acentens instirioe, ut ro cete e dem modo tractentur Unte simliter habentur 120 puo, 0 eto porntado 1010 -20. 30. 31b. 530 Calculatio hujus paginae etsi non minus prolixa quam paecedentis tamen in eo praeferendus est = 20. 3. 52, 530 Nominator autem in onnibus his valoribus est idem ubiquse in medio quod ut ubique in media operatione leges justitiae servantur, quae paginae non ubique apparent, etsi postremo sub exitum rursus apparere debeant unde etiam in etror ibi admissus, quem aliquotres licet respiciens non deprehendi Eodem modo ex irationalibus ob V habentur valores ipsarum, 120, 130, 230, tantum pro 10, 20, 30 po- et si subesse aliquem satis viderem neudo 11, 21, 31. et pro 240 penendo 2. 4 + b; et pro 000, ponendo 001. dit ita fuot 2.+ 41+. Ll. =00. 510. 52b, 4. H. 510, 5. 30 11. 510 = 21. 5W 141. 238 26 222 27 41r 2 b 001. 51a 530, 14. 1L. SIa 10, 1131 (24) 11 + 40 L. b = a1. 5pl 520, 23 h e s1B sEC + 21. 1. 3, 5. 5) 5 - 2. 2. 31528. std 5eo 4317. 53 si 230= p 510 = 11. 1. 510. 51 + deces 1. 21. 31515. 520. 330, =. 1251 +23546 = II. 25. 510. 520 pro 2p. 3( ponnt + 31. 535 - Ho 31. 518. 630 = H. 35 510. 510 = 21. 31. 520. 530 Et 15d pro ei ospuou jam bines valores ipsarum 120, 130, 230 aequando interso oportet aequare inter se - 21. 31. 528. 570 120= = 1200, 1230 13 =1300: 1230 et 230 2 2301 2 1231 et 2 1202 1201 : 1231 et 130 2 1301 : 131. Et pet 2300 = 1230 causa sib ex aeq. 21 fint 290 = quoniam licet novam facere arbilravam latentem in ipsis. xab et i X b, ac, in, an latentem 1230: 1231 2 2300 : 2301 2 1300: 1301 = 1400: 1201 arit forta liceset facere hy pothaesiu servientem ad compendiam calculi, ut si h = 0 = 11= 22 = 33, licet id nis facial incidee in imaginarias. ad o lu 170 cano +G. 10 20 0. 5ub. 110 + I1it2: BC +ol. 1223 L 4. 10. 20. 510. 520. 530. 01 -ol. 13. 22 = ∞ - 2. 10. 510. 538. O1. =62. 11. 23 = = 2 10 510. 52 +02. 13. 21 = + 4. 10.30. 510.520, 538. 92 = 10. 30 520 3t0, oi aap ite 1 0 pso (101 10)4 20 17d 430 530 20 + 40 - 660. 51 530, 4. 10. 510. 520, 110. 510 + 20. 520 - 30. 530 410. 510 + 28.528+ 38. 530 10 4 40 - 000. 520. 530, 2, EF, vo s eitiso ge. Sid. 19o - 7. 20 30. 528. 36 + 10. 51 - 10. 10. 51. 52 L(, decies 10. 20. 30. 510. 10 538 = 1210 -10. 20. 51.520 = 16.30. 510. 530 = 10. 38. 510. 530 A30 + 40 -000. 510. 520, 4. 10, 510,530, +r0. 510 - 20. 520 + 30.530 calculo prioris = (+8. 10. 2030. 518,520, 530 =+8, 10. 20.30. 510.528. 538