Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 33r

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: 0.56.

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The machine reads it as

1. 22
2. 5.
3. ∞. J. 3
4. t
5. 5 E F. e
6. f. E 1.
7. 5) EV
8. eaequ. +Y +2gh- gti
9. faqu +s + 2gh- k h
10. ex as la
11. Caegu. p +geh +2. 2et- 2fh
12. sts
13. o
14. n5
15. 5. F
16. X s.
17. = F et D
18. e
19. 2
20. et
21. 5
22. a X
23. e
24. +
25. e s
26. 2ydo e
27. e
28. e
29. F5. = ∞ 5 .
30. f 5.3 s
31. ∞25
32. 12
33. la S. sice
34. s K 2C
35. C. 8 F d = X
36. 2Ft
37. sin.
38. (F. 115
39. P
40. a 5
41. C
42. e
43. d is
44. bago n terh +∞ tt rX3h+3.3 fh -3. 29L
45. E
46. F. bEF
47. e 23
48. e 1.
49. 5 LX 2 F
50. E
51. 25 X n 1
52. EF c
53. que i togo
55. B e
56. e s 1 F
57. en te
58. daqu.
59. Ex propessione autem valorum ipsius b. ubi paulatim tolluntur orbine literae c. d. C. f.geu. habetur tandem series
60. - = 1t ~ 5.
61. a
62. 10 +).
63. infinita pro ipsa b vel pro ipsa= et habetur aequatio infinita pro ipsa h. cum vero valor ipsius E. quaeratur
64. et tunc habebitur ipsorum n. p. 9. ecc. progiessio in infinitum. Et si tollendi altiores termini, faciamus primum
65. naego 1. . quequ. 0. raego . saequ. 0. v aqu et et ita haberetur Z aego 1 - in F - ntc seu aequ. 3
66. im aequ seu h aego:L et N x cetum qun + P aequ. 0.
67. e
68. I+M
69. 4l ae
70. unde pariae quidem pro arbitrio sumere licet
71. agarnus Z(si explices literas ascriptas) semper includere ipsam cu circuls senseriem infinicum pro arcu
72. circuli licet mutilatam. Unde patet cmvam analyticam quae circulum tangat non posse inveniri, nisi
73. ansiem curvam arcuum vel similem tangat nem posse inveniri nisi data jam longitudine arcus
74. ubi sit contactus. Atque ita demontratum est, istam methodum ad exitum perducere non posse
75. Videndum an generaliter hinc demonstrari possit impossibilitas quadraturae sperialis:
76. arc aego +_ - L + +3 - t erc aequ. b + cF + d f erc. itqu ut () sit valor quantitatis aalica algebraicae
77. adhibeatur valor algebraicus generalis,
78. quo facto si nulo casu effici potest, ut destruantur termini altiores in infinitum per suppositam algebraicam
79. finitrem, demonstratum est impossibilem esse quadraturam
80. + E
81. 2
82. 2 F p 1 5 2
83. = X
84. e =
85. videndum est sequales nam esse debeant n. p. 9. J. ut tollantur termini altores ipsius h. vel si cerminis ill
86. et fieret e
87. =2t
88. dem dnas ex his tribus 1. m. n. verum patet tamen quicquid
89. 4s
90. 5. + + 3
91. =11S, F i
92. 8. X f. 0 Y FC:
93. 8, 67.E
94. F C.
95. 4
96. pF
97. . 5
98. d. 3
99. Xe
100. 5
101. F1-
102. Caegu. p +queh + ryse As. 23ti3 +33 Ch - 3X (h5. bagu. ans ar n23 H3 erc mi. t F mi f
103. 15ic.
104. g aequ +o +2th - iti se fiet boqu. n + P 2h 193h + Y 4 h3 + 55h + vbh er
105. ex. baequitm aequ
106. F
107. 2
108. a
109. E
110. eo fut 1 + 5
111. D
112. X. F F. 8 ∞ F
113. 2. 3 p 1= dd ∞ E+
114. 2: 3
115. X 9 e
116. C a. 5
117. + 5 5 p
118. . 4 3. x 5.
119. F
120. + a sit P
121. 2.
122. P. 2A F
123. t. s FF X ∞
124. s 3.5.
125. N P. 8
126. F EuS
127. daqu. quiaht 2. affli. 29h
128. e aq.
129. si
130. ce 3
131. 63 ∞ X 5 +
132. 5 + lus
133. NC
134. Cagut P +2dn- et. baequ. n + P 2ht hi- 2eti
135. Daeqo. 29 +2eh- fh
136. 2
137. t r.
138. 2E 5
139. E. FesB
140. E
141. b aequ. M + 2ch - ds1
142. =
143. e
144. A5
145. n
146. A
147. F
148. A FF
149. s
150. s 3.
151. es
152. e
153. 1
154. e
155. x us
157. C5
158. F.
159. e
160. +
161. +X 2
162. 5 2 3
163. sd Z
164. 1 vi-
165. +
166. F
167. E R
168. Ae A
169. 1- P
170. 5. f ∞F 3
171. E i
173. E+
174. 5
175. ar
176. o X
177. 5. 0 i
178. 5
179. v1
180. A
181. =
182. NC
183. 15
184. e

Cite

Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 33r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068073:0065?run=73