Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 332v

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: 0.86.

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

The same scan is also registered as fol. 333r; its text is given once, here.

The machine reads it as

1. 1. 1. 1
2. i Membrum 1. 1. 2.
3. 2 Membuum 1 3 4
4. 4 sentum 1 4 4
5. 1 4 6
6. Progressio ipsorum G
7. capuet C D EFG
8. 2. 2. 2. 3 54
9. 23 3 4 82 5 =2
10. 2 4 4 5 3 15 2
11. 2 55 6 4 24
12. 3 4 4
13. 3 4 5 6 6 36
14. 3 5 6 7 8 56
15. 3 6 7 8 10 80
16. 4 5 3. 8 12 966
17. 4 6 +B 9 13 135 6
18. 4 = 9 10 18 180
19. 55 8 9 16 144
20. 5 6 9 10 20 200
21. 5 = 10 11 24 264
22. 5 8 11 12 24 3367
23. quune s entaum
24. noitud
25. es ex capul 3 3= 3 3
26. 2519 ,33 35
27. 285, 447 6458193 4 4
28. 400 v ne eu
29. 2424 24 3 5 8
30. 60. 1400. 230 4 3518, 512D,
31. 6 6 10 11 25 275 850
32. 6 7 11 12 30 360
33. 6 8 12 13 35 455 10
34. 6 9 13 14 40 560
35. 17 43 81 131 193
36. 3 3 4
37. 223 520 975. + b. 2499)
38. c6. 64 (3 5 5
39. 129 151 1∞ 206
40. 20 63 144
41. 26 38 50 62
42. secer pd
43. l 36
44. i p 1
45. 3 4 6
46. Bi get 121 + 1592B 66
47. 272. 320. 368 (ia 6. 7
48. 4848 1d 6 8
49. 36 9
50. em Caps
51. 6B B ii 45495
52. 6 99 12 54 64515
53. 2 7 18 11 48 528,9224
54. 5 8 9 12 60 72
55. Z 910 13 72 9 3
56. 5+ o 7
57. 7 10 ii 14 84 1=
58. 38 10 13 75 9752852
59. 8 9 11 14
60. 3 10 12 15 205 1260315 30
61. 3 11 13 16 1201920 2+8
62. 99 12 15 108 162059625
63. 9 10 13 16 126 20c6
64. 9 i 14 17 144 2448
65. 9 12 c5 18 162 2916
66. 3 77 10 20 14 v7 147 2499.
67. deapite in apit) 3 7 8 20 2i 15 18 ib8 202
68. 3 5 5 7 8 10 3C
69. 2 4 4 6 6 8 10- 32
70. 2 4 6 6 8 10 12
71. + 7 6 9 11 13 5 6
72. 5 5 7 7 10 12
73. 5 6 7 8 11 13
74. 2 5 7 7 9 12 14 70
75. 2 3 8 y 10 13 15
76. 6 6 8 8 12 14 72 10
77. 6 8 8 10 14 16 90
78. 5 9 8 ii 15. 17 108
79. 12 16 20 14
80. 36 72 120 180 25.
81. 36 48 60 72
82. 48 144 320 600 1008
83. 96 176 280 400
84. quartum CagutE
85. 8 8 B 12 64 768
86. 13 vo 1040
87. 310 10 14 96
88. 2 8 i i
89. 9 10 ii
90. 5 4 3 in B
91. 6 6 10 io i2
92. 5 7 10 ii 13
93. 8 10 12 14
94. 14 100
95. ib 144
96. 17 168
97. ig isis
98. 4 8 8 i i 14 i8 196
99. 4 2 8 n i2 18 ig 224
100. 4 = 9 n 13 46 20 252
101. 4 2 10 i 14 1Y 21 280
102. 140040040
103. 224 19 06 20
104. 230455
105. 2856 g
106. 4102 48
107. 3528 2856
108. 5.880340
109. 8 9 i2 13, vy 21 288 6048
110. s 10 i2
111. 35117 272 525. 900i M3 48 243 768 1875 28881)
112. 45 195 525 1107
113. 80 252 324
114. M aequ. 33
115. Ad, Ad progressionem perfectam opus quatuor triangulis in Equolibet
116. memoro quatuoem quinque nembris in quolibet capite Et
117. denique sex capitibus pro rtoto calculo
118. seuuddum caput D E FG Martii. 1678.
119. 2 2 3 4 5 5 7
120. 2 2 4 + 6 6 8
121. 2 2 5 4 7 7 9
122. 6 7 9 11 40
123. 13 15 94
124. 104 128
125. 9 9 10
126. 14 18 22 320 20400564
127. libet capite 2 8 i 12 15 19 23 352 8096
128. cuiglibet caepitus, sive transitus de capite in capul
129. (G) 4 4 a 4 (F 50 24 98 122
130. Laqu. aptus. Pdsito q. ese smrimumA. cauitis
131. 6 5 8 ) 11
132. 6 7 8 9
133. 12 12
134. 8 9 9
135. 2 0 10 13 15
136. 2a 48) 37 10 10 13 17 20 210. 420 5t 9224
137. rogressio puimorum G. F. E. in qu
138. seu transitus seu inteminist
139. 2 4 4.
140. 72852
141. 26503
142. 22 4 8 8 12 12 16 20 256 5120
143. 1 (3 7 9 c0 12 18 19 189 3591567
144. 26, 08
145. 5 6 p
146. 1505
147. b st
148. A numeri ordine combina
149. item excessus duorum
150. quorum libet frianguli
151. laterum in B compre
152. heusorum supratertium
153. B. latera omnimo
154. Triangulorum in
155. numeris possibilia
156. exceptis illis, qua
157. pameris imparibus con
158. sant, ut 1. 1. 1.
159. 3. quel is enim
160. duplicentur tans
161. etiam sumantur
162. eorum dupla,
163. . 4. 4 vel 4.6. 8
164. euudra
165. 15. vel 1
166. postea inventum
167. quotiens ri
168. quadratumarea
169. triangul quaesi
170. umma ipsorum
171. numerorum sub A
172. vel dimidia summ
173. comprehensolum
174. productum ex
175. tribus numeris A
176. productum ex C
177. quadratum area
178. i ensinti
179. tianteie
180. dratarum
181. arearum se
182. G. diffecentiae du
183. 455bro26
184. 3
185. v 1 1 17 160
186. 13 B 14 20 294
187. Optima via est
188. per logerithmos
189. numerorum sub
190. A et quam logarit huri invicem
191. addantur somadin
192. n os
193. quaternani restat
194. erit Logarithum areae
195. Triars Iucehit
196. 388 erentiae
197. ie
198. loganthu vero
199. t

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 332v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0666?run=74