Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 121v

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: 0.82.

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

The same scan is also registered as fol. 122r; its text is given once, here.

The machine reads it as

1. t AY.
2. CAB 2. F rectanu. CXY aequ quad. es. suie L
3. it CXe i. eut ARr L. et CXF 14 4s et 27) Xp p in 10 1o0o ruvooon
4. 50000 Cx BeB. A 24 19296. 17 24 13,4 V. 124. 3
5. qu
6. quare spatium VX p 3. 4, 000 = 13,400 + grs. 0 = 1, 2, 3 24000 = 1200 + 90 - 6 1 - 1 06
7. 240000
8. 40000 1000o
9. es auten l B +o ergo l’e oo et 7 43 17 1000 i 1 0bo
10. ergo si addamus l. -+ habebinus tam prope ut errorsit mina quam
11. N 114327 C0. er 1437
12. 120000
13. s et redicendo aed unum denominalorem ((446) 8 864 d c0 - 360202 + cst
14. 1496016430953
15. 005281645045
16. 70897585400
17. exerbec2e4
18. 42563027590453
19. ergo M L. L+
20. 31728 (3
21. u s
22. 10269203303494983 fr 103680000,0000
23. nen I quaeramus a logurithmum itupertolicum numeri
24. 120000000oiu A
25. 942563(027590453
26. 1114048 00 00, 00001000 0
27. ergo spatum VX eut
28. 2400000000
29. 10368100019, 0000, 0000 A1
30. 1 942563027590453
31. 94 275630 27590453
32. differentia:
33. portuo quae Logunthumoctum tabularium esse deber. Sit ergo CX
34. 101 H 1+ i
35. 121000
36. .2BF 4 )1937
37. Ises jau ex dato s Z, l. eut ANEin. B = + C est , to
38. 437
39. 56800,00000C
40. ia so
41. 20000
42. 24000
43. excestus parto maxt quam
44. por non est.
45. 520240
46. ut duos
47. 6 23880794
48. 10058
49. 0365
50. 1028
51. 114048
52. 11940397
53. 190000,0000 (4200090000
54. Loga
55. 114370000 boligs
56. Jam Logentumus Tabutaris ab L est difcrentia inter logertBomum ab 11. qui est 10413927 et lognictuntum ntim. By b. ab 10c ad 194039
57. 0do
58. erit
59. 203000o 4000o puo etc seu
60. At supraloganthumus Hyperbolicus ab erat 11422, vel 114370000 er lognitimus Hy prbalicus ab i
61. Et loganchnus Tabularis ab ist est disserenta inter logaribimam ablioi, qui est: 2004q e et tognitmam abioo qui estre dooee quae differentia est over 2tt B log. Tab. ab. 10.-
62. Ergo LRatu Log rab. ab i
63. ad Leg. Tab. ab 10r H
64. 4 13927
65. 100000
66. 0 so 43214 que ratio debet esse ae qualis Rationi Logaithmorum Hy plibolicorum supra inventae. 114370000
67. Ergo multiplicando percrucem dibet cinitr prodre idem
68. 11940397
69. 41927
70. 8342779
71. 23880794
72. 107463573
73. 35821191
74. 42161508
75. 11940397
76. 47761588
77. qy42+ 52709019
78. (4942 385180000
79. 00 0006752901
80. 1194
81. 1338
82. 134
83. huo res accuntius discylienda
84. 114 370000
85. 31
86. 45740
87. +912585 180600.
88. et enor
89. + 4242585180000
90. A9 42 45270981 9
91. 01 1940397-
92. 42. differentia inter 494245 2709019) qua prodeunt
93. et 4942385180000
94. 0000067529019
95. ergo error est 0000067529019 vel 000067529019
96. non im log. Tab. ab 1
97. Eog. Hyp. abie +3214 in 11940397
98. 413927, e 1in14370000
99. ad Log. Fab. ab 10) ad Log. 1y ab. 10 posterior e nor si ponimus log. Tub. ab. o
100. Con. trp. ab1ot
101. ad logitab ab 1 R loy. brq ab i
102. unus scilicet si quari lus ponendo Tabulares aeccuratos pontmu: loy. Ayperboeteum ab 11. ex datis duabus Tabularibus
103. e Hqprvolico ab 10 quarimus; alter si contra. suntque hi duo onors inter se 43214 ad 11940397
104. sed utrobis modo certum es ertorem esse minorem quam 700o
105. Nam 43214 in 11940392 est quantitas
106. quam sumndo sumendo 43000 in 11940000 fit 513 42 (0000000. est pr 67529019 faciendo 2000000
107. fit errormin
108. 6753
109. 1342000
110. BAZ00∞ 7 602
111. A8 23
112. Jam β1342000+
113. Ergo error non est
114. Se pro 413927 faciamus 413000. fit
115. 45748
116. Ueno cuno modoero est tmraguar alleri adur quad
117. LH o F LY + et LH B LH 1 , ut L7 18
118. LY
119. LF 10t
120. 67530000
121. sin sumamus 413927 in 114370000
122. 5000 4 11437
123. 183
124. 348
125. 47234810000000
126. et pro67529091 ponendo 70000000
127. enora ein minor quam
128. 1d est minor quam
129. imirum si quaeramus logerichumam ion pertoliaum ab I ex datis Tabuleribus ab in et 10 et Hyperbolico ub 10c fit
130. prspriore
131. 600000ctr 422,
132. 19 4 ~0297, Ai3D qdeber essep 11917000d
133. I 12,00090000n +3214
134. 1200000080
135. uo d quatilatus est et reducendo ad communem denominatorem fiet: t
136. B.4942452709019. quo posteriore
137. 4942385180000 differentia est
138. 257529010
139. 51 856800000000
140. nentus ex assimtis tabuleribus es cedis cum qui virecti ex ipsa Hypertole inentus est8G
141. 1
142. 8 698,0000,0000
143. 11940397
144. 27854
145. Quaeramuscontra LH ab 10. ex dato LH ab H ex LF ab 102 ex ab per LH dt B) E7 +ot, LA 4321a, 14 370000 nteresse eecue
146. Feducndo ad communem benominatorem fier pro priore , 4 +94045 16gor9 et proposenba A LT id
147. 4942385190000
148. 4892 0 13
149. 4967124 100011003
150. =12 0000vo, in 45
151. 2967124,0000000
152. sa diffecutia Logerithmus. Aquitolius ab dies inventus ex assimtis Tabulmribus deficit ab eo qui diresti ex ipse Ayuibola inventus est.
153. 496124 000806
154. 13124
155. es
156. ex spatium VAs 1 200 3d
157. 1572
158. 130804959
159. 54829814
160. 32414907
161. 10oep
162. 1308049694
163. 15634783
164. 392614907
165. 523219876
166. 0804969
167. 13080496
168. 470897818 4 0000)
169. 100000
170. inver
171. erit XDp XZ ,3, 4 0000
172. =14q
173. 864
174. 12c
175. 10364
176. 328
177. C
178. loganitimos ubtamus, quorum eadem
179. e YXB
180. 11437. 1 F 10oco a 43711. H 1
181. e
182. 36ao A 11422 98
183. 5748
184. 508092
185. 413927
186. unithmum yperborocum
187. soliu a
188. 13080 +9
189. 144090000 20 1aglo1on30+5 2
190. 2. 34, 6 - . 390 + 6119,0 - 111 3 24 000000 - 1200 00 + 800 - 6
191. 1,2,3,4, 0000000000
192. 13214
193. 86428

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 121v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00067993:0242?run=39