Leibniz-Handschriften zur Mathematik LH 35, 3 B 11, fol. 19v

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: 0.58.

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The machine reads it as

1. e= 5 +
2. L2
3. 2 C
4. 25
5. 8. =5
6. 1
7. 2 =
8. =2
9. C5
10. e
11. = E
12. 2
13. dd
14. 2
15. C = sC.
16. X 2 =
17. E.
18. 2∞
19. FL. =
20. C
21. X. F. 2
22. u
23. C
24. 825
25. F
26. E 5
27. 22
28. 5 2
29. 22
30. S. c51
31. E 2
33. x+ 2 E
34. 3
35. e
36. a
37. e
38. .d
39. e
40. = 3
41. = d c E
42. H +8 0
43. 5,
44. 2
45. S
46. Ce
47. de 2763
48. . 2
49. R= re ∞
50. 22
51. e
52. CEEE
53. 2
54. = = 2 F:
55. e
56. 2= +CEC
57. xi
58. 2 2
59. 4 d
60. e
61. S+
62. 0.
63. E . = 7 3
64. 6 31. L.
65. 2c5
66. 3. 2
67. S.
68. 2.
69. 2ec
70. C3
71. 35
72. 2 Z
73. E8
74. l
75. c
76. 13
77. 2i3
78. sivII esit divisibilis per cotedeba, oportet ut idem dividenius sit,
79. si(ti 13 s bE d
80. 11
81. 95 edcba
82. Y q pnmL
83. I. k 8 E5Yβ0
84. N P s dl a
85. Y9 pnmt
86. sec
87. Yd B
88. e 1B8
89. Optimum est, quaei non residaorum serem
90. sed quotientium qui sunt unius hotae, cum
91. redeunt quotientes finut 6000, qot opo
92. sint tolea l tint solle prines taom
93. si jamdivisio ipsius Budet
94. instituatur per abc, erc
95. E, 5Cd
96. 5+ F
97. F 5 = + +
98. 5
99. 3=
100. 5 2
101. -2
102. EF it u
103. 2
104. 5E
105. 5
106. == eiE 5S
107. m =
108. 1. 1
109. 53
110. d 2
111. +
112. 3it e
113. 3 =
114. -C F
115. ∞ F 3. ∞ 3
116. c
117. e
118. noiso si
119. (t quonens P. Nam ei Asit.
120. quia a et 1. hinc si BC sit 1
121. erit et quotons 1, et si Bst
122. oeut et quotiens c. corgo
123. quotient est β, ergo per B
124. multiplicetur fint subtrahend
125. aβ. b(. 2B eta. Hinc quia aB= β
126. s dit 999g Henme
127. l= D et M = Y (nam 3b~0)
128. (BFn = d seu c- bc +n = 1- d et
129. a+ I = al) a- 2al a - 2al = 1, fit 1= a - 1, : 2a
130. b1, fiet ax at Eal a 1t 4al = a -1, i2 bd quid a = 1 fit l -0
131. b+m e= d bm) b - 2bn b - 2bm = 1
132. et fiet M = b - 1 si. b sit 0 fit M = 1, Si b sit 1 fit M =-
133. fit b - 1 = 1 - b, 2b -1 = (2b) 1= 26) + b quod est verum
134. C+ n = cn. E -2n. Hl. fit eodem modo B = 1-C
135. a + I= ( 1.. 1B = H- 2al fit B- a = lac
136. C12a
137. β et a aequales lest 0, si sint inaequales, quidatu ec
138. a B. a est A, I, et quadratur a porro quadratur ab 1- 2a
139. semper . + 4a = 4a deu semper est 1. Ergo si β set a
140. sunt inae pales U, vel semper est 1. itaque si
141. A3 Li B et a sunt aequales l est 8, si suit inaequales l’est 1.
142. Ergo _ l= Y + ( BBa 2 aB ( a + B- 2a (
143. = a + β = 2 a β, nam B a = at B- 2aβ
144. 1.2
145. lo. 15
146. Hoc mogeodice inveniri poterat, seu (=a poterit aequari integros
147. =M et
148. is aon pblest esse nisi 10β+ na + 12aB, et fut 10β +na tnaB = β-a
149. Ergo 10 = 1 et 11 = 1 et fint
150. p= 1 -d e+ bc CB+n = CB+n - 2C(2 L
151. jura
152. ua 1B2 aB
153. I2. 2dB
154. 12 aβ - 10. 2aβ = 12 aβ =0 seu 12 = 10. 2- 12. 2 =0 seu 12 - 2-120
155. et Cβ + p - 21βH = d fit n = SL CB:, 1 - 2c =
156. seu =2 - 12 =0, seu 12 = =2. Et fit _ B. a, = βt a- 2 aβ-
157. rum ex e aedi inc, e na es tame
158. depicand, ita ut B
159. ta
160. = Cβ+ d 2Be et esta 1d A+ eBS, quodi
161. 8+ cB = 2(3cd, et CBn = cBd +C(+ 23cd = cβ- βc = βcd
162. 8 + c- 2 3C + 2BCd =8 - Cc + 20.d
163. Ergo m = lee 1- b et bm2O
164. 1-b bocemus B, 1-C vocemus V, et 1 - C vocemus
165. ROB non nempe
166. subtra
167. (et e 2b4VF
168. 1b -1
169. 1a + ab + 12 ab
170. 1- 2b= a- b= 10 a +ub + 12 ab b
171. a
172. oe
173. 2. 10ab
174. fit 10=1 et 1~ 1 - 2. ub 2. 12 ab
175. 6 - 12 - 2. 10 =0 Ergo 12 =
176. ro aut rb= a Fba mab
177. 2.
178. 2
179. 18 2
180. E
181. =1
182. l
183. recto

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 B 11, fol. 19v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068261:0038?run=74