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Leibniz-Handschriften zur Mathematik LH 35, 3 B 5, fol. 66r

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: 0.78.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

One image of two folio pages side by side, registered by the library under both labels (also fol. 71v); this page is its right half.

The machine reads it as

  1. Ad Ex articuli 1g aequo 27 fit per aequ. 25
  2. +(12518 123 126i 5
  3. 7123
  4. sis errin
  5. sas
  6. 23712
  7. +M (237120
  8. (12543 (23612, 1723. 12529. 23512 4 1712. 23512011723
  9. R712
  10. cplalis n lems tots
  11. +23on brr) 1971 F
  12. nnesuoq - 7u2 (2 5 23) 23113)
  13. +, (272 (137125) = 1723 23512. 12723 - 1712. 12 523. 23712
  14. (12523. 23712)
  15. His ita correctis Numerator utinque solo differunt signo. Ergo cum natsferendo mulando
  16. (12523. 23714)
  17. seu fit namfil = 7123. 12523. 14723 + 7112. 23512. 27712 (28) = 7123. 12513. 12723 - 7112. 23512. 23712
  18. saequ.
  19. in A (D 17Z. 1 523. 23712 4 1712. 23512. 1272)
  20. +1723. 23512. 12723 - 7112. 72513, 23712
  21. itaque mutatis signis alterutrius aequantur denominatores, fietque
  22. 112. 12513. 23712 4. 1723. 42512. 12723 = + 1712,23512. 12723 F1723. 12523, 23712
  23. sel Atq adio tandem seu 1H2B, 125 23. 2372 + 23512. 12723 aequ. p 23~12523. 23712 + 23512. 12723
  24. aut denique e 1712 = 1723, 12523. 23712 + 23512. 12723=0. unde ( vel erit 1712 = 1723
  25. ispi
  26. Eodem modo ut ex aeqque. y et 13 articuli B duximus aequationes
  27. (progressus
  28. ipterin sic ht donce quid praestet ostendat
  29. et 4’articuli 19. ad eoque et equ. 23.24 ejusdem
  30. 14 et aequ art
  31. articuli 19, ita possimus et consequentias instituere ex aeq. 12 et 14 apticuli 18. conferendo cum adiil lsian. , iorii
  32. ait Nempe aequ. 1. articuli 18 conjuncta cum aequ. 12 artici dabil fretque 1723. A. 7_ - 1712523. X2,:
  33. 15 nempe fit 512 = - (15: 1) 23512: 123 et
  34. 17. 4) 28712: 327 et723 f(97: a) 12 3: 3M quibus substitutiis in aequ. 30 fiet
  35. :, 12. 133, 12523 + 23S12. Tollamus jam 12.3723, 312, g3. per 10g9. 8. 10 articali s 4 et aequs 1 l. 2. au
  36. et 523 = (15: a) 12523: 112
  37. 1722 (15: a). 238(2. 131. e) 13
  38. 1712. (5: a) 12523 (57, a) 23712. . 312 (15) 12523, 23512, 12523 - ∞512
  39. 15d =
  40. (112. 1239, 12523 + 23512
  41. - 1723. 23(12. 17 252. 12. 113 + 1712. 125251 23712. 1 312:, 7HB. 27115. 19. 312 4 712. 12725. 12. 323 = 12523. 23312, 12 523, 23 SI, :, 125137 2512
  42. e
  43. (31)
  44. +7 23. 128. 63
  45. alterntra per + muliplitato
  46. permulat
  47. +7u2. 128)X,
  48. s + erch. 23515. 12725. 1 2. 323,:, -7123 1 qu as ish. 1 . s. nd s
  49. ationem
  50. c. 15 data
  51. A(413 ∞12. 12
  52. ol. 5 cum d et 7, inde 71 mutant signa
  53. ue rerliced aqu fiet
  54. 3, Hsu3. 1911
  55. sSS. An rS Aum nchtsIG= ( 23.33 512) 25ig - 13513: nsuB+.
  56. atae dat - 1713. 22512. 12723 F 1 7C 12 523. 23712,:, 4 713. 4 23512. 23712 + H12. 12513 p273 = (3tio ) 12523 - 13512,:, 12523+ 13 5 12. Et parisare permotundo
  57. pari jure
  58. fietue - 173. 12845 29)
  59. interse latera
  60. 18 conju
  61. lis 33,24, articuli 19 Et pr
  62. 3 123. 312 p
  63. umus exa
  64. 13. X35 12. 2572 - 713. 12513. pr2g -B 4to 1927 23, 20712. 1213 t enia ivilio
  65. iistrosum denominato res non differunt in
  66. signis. Erso n
  67. eligimssiriorem aequationem
  68. 12238.
  69. 2tsi2. 27E3 = 171L. 13 23. 2372 = 41727 12523. 12712 A 1712. 3
  70. Unde erit vel 1723 = B, 112 vel 12523, 23712)=-
  71. et fil 172
  72. SI2. 1272
  73. d aequiq cum dictis huc
  74. quepur
  75. endo si cons 3 et 32, quod frisset optimur
  76. uantur
  77. us suneratores
  78. ce grmus daq.29
  79. + 66t0) te a 3 ad 33
  80. 3o
  81. oex 6. f. 24
  82. fiet: - 1723. 12527 23 112 + l12 233
  83. +g. 123252(3512. 12723 + 712. 2331E(1523 2372 , l, 1723. 12523. 23712 = 1712. 23512. 1272L (12513) 63 ∞12 125
  84. Si ae49.
  85. fit L7123. 12923. 12723-712
  86. oportecisset incipere et.
  87. arius
  88. ase 194. 31 ,82, 36, 37 fui
  89. ut aequatae Aequabimus jati
  90. l. Jam vel 34 et 3
  91. omnibs per by12.5323a fiet
  92. 112. 5y2 4
  93. tu
  94. 1323Faa (5328- aa
  95. v 1712. 1723 = aa seu 1712, 172) = 1. fietti. 12+
  96. progressus doc
  97. 123+523, 1g 323+723
  98. r. 115
  99. 512 et 523
  100. 235123:3 12523423512. lir
  101. , 112. 123a + 15, 12523, 31. 323a-37, 237
  102. 112. 12
  103. te et 17, quae to dant idem. qui oilere aequalio
  104. 23a +37. 12
  105. 10) 112+512,:, 312 +712 = (112. 123a - 1
  106. os duos natore
  107. nendo sit +eras E
  108. EL
  109. (2)X112. 1923 4. 711
  110. jam 123 - 713 fieret
  111. intati
  112. et multiplicatis
  113. di oii ate i iies t tres dide
  114. 5325 t suhaata
  115. sitaa
  116. ligonum
  117. eodem icto
  118. ee pr
  119. aten multiplicato per + fiat L. 1725. 235 P. 12r25 + n. neriar
  120. (2) 1712. 1723 = 4 7123 duHes
  121. 7H12. 712320
  122. 512313at
  123. ne tractare aequationes,
  124. . 12527. 235I2. 17223IE L 12. 112323,3 2772 + 1122,7112. 12523. 12725 - 7112. 12523. 3512. 12723. 237 12.
  125. dividi possant omnia per torum quudratum, et fieret = 1723 (1712
  126. Erro fiet 17i2i
  127. = 42 st 13
  128. a
  129. ny seh
  130. S2-fy23. si
  131. int itrois qrtira
  132. ai ttores per atdiu
  133. siia
  134. 13712).
  135. i12. 123,:, 312. 323. quod f et secundum, in stothes (t) a sed
  136. in video alter
  137. eore pednolonam er pncei
  138. aequari alter
  139. vel 3t tuileq. 3.
  140. piset e
  141. 49. 2, 24, 36,37
  142. el 34 et 36. sed prius pla 5 +
  143. +723 vel ouendio 522 +
  144. potam
  145. 93+523= 112. 17) a + nes 15. 13
  146. . 323 a + 37. 12725)112: 312
  147. 7. 12723,: 312 Hinc C
  148. p2. 123a + 1512513,:)
  149. ii (4) sit - fiet 5712. ∞2
  150. Sir, ayt si ) t eyemo
  151. iutem praestet, rectaagulumque an fa ara - 5. 2351
  152. sit 42+ st2 (2d0)) 112 + 512
  153. et 323 +723a-
  154. i
  155. 25sZ + siaa el sye cr a- sintrs s
  156. d Possent ad hus saquari
  157. nem quae determinavit esse
  158. et fit 5312. 5723
  159. 312. 323at
  160. at
  161. Exaq
  162. 71
  163. 1)723. 1712. 23512. 1523. 12725, 2371
  164. 2351211
  165. 12523. 23712
  166. Seu Malialiando per + et trauspe
  167. sid. ag. 7. per ag. 7
  168. nnoliiltto
  169. ex artiaiti ib iqu ue 13 dupinus aqu. a 23
  170. piticuli a5
  171. alteutae aotem putter volclisemus tractare
  172. deinde ixi

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 B 5, fol. 66r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068255:0131?run=74