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Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 57r

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: 0.73.

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

The machine reads it as

  1. 5
  2. 20), 1
  3. 15 531
  4. 165
  5. 16
  6. hh = XX+gy
  7. 1b M 256 615 1296 2401
  8. 2 3
  9. s
  10. 4 9 16 25 36 49
  11. 30 1 1c
  12. 50 1 4
  13. 6)0 1 4 3 4
  14. 5)0 1 4 2 2 4 1
  15. 8)014 10
  16. 01) a
  17. 1
  18. 4 9
  19. d S
  20. 11)0 1495
  21. 170 1 49 4
  22. ol 3)
  23. 2
  24. es
  25. 149
  26. 1
  27. 3
  28. 3 12
  29. a
  30. C
  31. 4 9 16 25 81
  32. s
  33. 10
  34. 4096 6561 10000
  35. 8 y 10
  36. II
  37. 64 81 100 121
  38. si
  39. 12
  40. 10
  41. 16
  42. 13
  43. 20 Nonts
  44. 16
  45. a
  46. 4-4 = 0 etc
  47. 6-6=0 9-9 =0 etc
  48. 5-025 6-1 = 5 g- 4 = 5
  49. bcX+ r = 0 = b7 + EbZ +5 = b 145
  50. 169+2
  51. 58
  52. 139
  53. O
  54. 216
  55. 10e
  56. 24, kB 8 11, 12, 2
  57. 1290
  58. potest dividi in duos quadratas
  59. quia duo residui ex divisione fondia
  60. iea
  61. alituius horum numerorum
  62. ntea
  63. PH
  64. quam componunt desem
  65. 9-920
  66. 130
  67. XRD.
  68. 64
  69. 5u
  70. e
  71. 13
  72. se
  73. 25C Eug poto
  74. 284f.
  75. 129099, 469b
  76. 8. 0
  77. F.
  78. tia
  79. s
  80. st5
  81. B
  82. q imu sufficil min
  83. e
  84. quam componere divsotem
  85. nam multiplum divisctis
  86. in emparibus crescit diffe- componere non possunt
  87. rentia, in paribus
  88. manet eadem
  89. si numerus divisibilis per
  90. nam. cum sint singuli,
  91. minores divisore simul
  92. quadrabum periovus residrio
  93. Tum none numa dcanore ad duptumpius
  94. mneru et ieminorum de ego multo minus ad al–
  95. deminorem
  96. idorem multiplum
  97. Porro quotientes sunt hic divisoreminores. sit divisor t, quolens a
  98. C fiet reseduus Y, sit o+ +V = et (q) E + (Y)
  99. . unde fit
  100. dividundus
  101. e) ee = () t +(Y) 9+ - Y si jam Y = (Y) fiet
  102. ita (CC) ec = () 9, t = (() +e, ()
  103. =gC +r
  104. cix + (9) +1 = th
  105. f6.
  106. aut mahiplum divisoris 6415 49
  107. 36
  108. 144 169 196 225 2563
  109. 28
  110. 37
  111. re pum numeri quorum nullus
  112. (51
  113. ytrfipt o+ +r = ee (4) t + (Y) = (C) (C)
  114. 3+59)2
  115. b+ c
  116. a
  117. (51 13 ut MS137 1ta2
  118. Ge
  119. a
  120. pers
  121. 10 -0 =10. 12.-1 = 11 Cp 8+ 1-4 =12 9413-9 = 12
  122. B- 0=0 1- 1 =0
  123. 2- e diris. per b
  124. sf
  125. 6+ Cg)
  126. ee
  127. + Y+ (V) = ee + (() (C). Quod si
  128. quili Ergo Y + (Y) = F fiet. ee + (ese
  129. 141 per t
  130. divisitia
  131. Integre miibta radice quae sit
  132. Ergo _ si non datur dantur duo quadrati dato cumen
  133. s dato numem ininores, quorum summa sit divisibilis per numem
  134. Cex iat.) itir
  135. shaix
  136. non xi
  137. datum non a possibile est non est numerum datum dividi
  138. in duos quadratos
  139. quodsi tales duo reperiantur
  140. habebimque duos resinuos
  141. digui divisi per te
  142. 9+ 9(4
  143. tabemus et 4. + (4) et fiet fyt +F=pX X
  144. (HFXI)
  145. dellent dam generalite
  146. et 1X
  147. yyh
  148. 1ofag
  149. ged
  150. et et fq+ +r + g9) ++Y)
  151. datos n qua praguH
  152. ud quadratur B Jam
  153. deveat par
  154. Y+(Y) =C. Ergo fiet
  155. eo tauhiles
  156. Resolvatur (4) in q. et seu in quotientem et residnum ecunu
  157. 57
  158. r
  159. e
  160. 1
  161. e
  162. 13)

Cite

Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 57r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068207:0113?run=74