Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 258r

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: 0.72.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 259v); this page is its right half.

The machine reads it as

1. 15 Marti 1693
2. Bex Gy
3. Reductio differentraleum aliarum
4. ad Aparametros
5. 102at ro vdvr u ru B.
6. Sit do. dque = vZ + av, : 2525 nv. sit Z = 3C+ 3HK + MIIXy, + 32OK + 3uKy + 3302 etc
7. (1)
8. et v = 400 + 410Y etc
9. 500+ 510R etc
10. fit dy-
11. 500 + 610x +SI Xy + 520x Y521 X y + 530X3 eM
12. seu copendiose et y 3: G et Sd:5 unde
13. dv 5d4 - 4d5: 5 et d 2 =2 5d 3 - 3d 5L, : 52. et dv. d Z 5. d4 - 445, , Sd h. 34
14. 103. Sd3] 1. 4. 5d3 = 10. 3. 3d5 - 1. 4. 3d5 et set
15. Et ex aqu. 1. fiet.
16. 2 10. 3. 5d3 ∞ 10. 3. 3d5 + 204 54-20. 4. 4 d5 + 21. 3. 5d4 = 11. 3. 4d5 f 11. 4. fd3( 21. 43d5)
17. si jam pouamu 5 ascendere ad Xy, sed 3 et 4 tantum ad X et s in cognitae in aeg. g. non ascendtent uttra
18. gredum tertium sunt autem termini in gradu 3tio 10, ladeoque aitrariae 9. Indata
19. geperalis Edi gradus mulliplicata per simpligent, hac clages hobet. Unot poterit stano
20. vero Aquatione habemus autem arbit rapias hoc casu, moluum nobem. Unot potetit e quatio
21. feccrimus, res succedet.
22. in vata ipsa prius aliquid arbitrarus
23. sit 3 300 + 310 Z de = 31odx 4 = 400 + 410x a ode
24. 5 = 500 + 51O R, + sIIXy +sior d5 (2) 510 dx + SUIXdy = 520R Xdx
25. dy
26. t 3. 3 = 300 + 2. 300. 3104 +2 310 ry + 310 X
27. 10. 33. d5
28. 20. 4. 945 =
29. 11) 3. 4 453
30. 10. 300. 51gTdx 12. 300. 310 v2. 200. 310 (Xdu v2idoct
31. 20. 400 2dy 10. 2. 400. 410151c5
32. i soeteo.
33. ich 310. 0
34. x aot ogex iio
35. 300. 30013 holu 300. 300ES
36. 400. 400
37. 300. 400
38. 10.3. 3d5) 10400300 stoHX 10300300 2.520IXdy 103 00 300 5IIIXB
39. bly 30. 400. 400
40. 4001400f51.
41. 300,400)
42. Lply 20. 40. 4uo. 21ax
43. 11h300. 400.
44. Gio rvotue
45. Consutum)
46. o pouqieo e
47. 1173 quo
48. 2.19. 310310, 510)
49. ad. 410
50. 2. 5 v. 0)
51. d
52. Hos jam valores substiturmus in aeg. 9
53. 315= 300 500 v. S1 . 511N) isc
54. 44 = 400 etc 4 rex.
55. 3. 7. = 300. 400 + 300. 41058 +2.310. 410 xy + 310. 4105.
56. 310 400
57. 0,410
58. 10.410
59. socis
60. 19 2.80 g0d n
61. 115 10 quo
62. X dx nlorergo 511 Ad
63. 1 dy 220 40 10
64. 310 100 i. 1310 :. 5i0
65. (16
66. 30. 4. 715,- (2040400
67. .(2. 44)
68. 21.3,0. 40C
69. (2i3 910. tu
70. 45 300. 400.
71. 6 . 700.
72. (, 10+03. 910
73. 410
74. Cit oro).
75. 21. 310. 400
76. 16. 310310 510)
77. 20, 410.410
78. 1oqe
79. ina oro
80. idot
81. yt
82. Sid
83. nsim
84. SiXb
85. A ix
86. Do dei piu
87. 13910. 406
88. 1035t5) 10 310. 30 500 . o 3u0 510; (10 210200 510) (10 210 200 511
89. 1. 335
90. l14. 5 13)
91. o o
92. ( 20
93. r0 310, 310500
94. io. qu 33
95. i
96. 10310710,500
97. 213o S
98. 288310 3
99. d. ). fd. 2310)
100. o 3
101. M 11 300. 460
102. fl. 300. 40
103. 20. 400. Y. 2I dy M
104. 2Hr.
105. 110. 300 3lo 510
106. 4. n20400 40.
107. 1I. o
108. 21 0 310
109. 10. 21030Ro
110. hleisio fogequ
111. (2 410 30 (16
112. Unde tandem foet aequatio 1b reducta abi sublitus tollendis sabit
113. 9= + 10. 3uo. 3 or Sigt +. 103oa B: 5 1 (Xdx + 10. 300. 300. 5 Ufray 2. 10. 3003. 625 Y 1X
114. iutr A
115. tI130. qe
116. otio
117. 3oqao. H. 3u cu.
118. 10. 300310 5=
119. 10. 4c0 410.
120. 0400
121. 21. 500. 400.
122. 410.20 36. 510
123. n. 3
124. g 21. 310.4u0.
125. 0. 31o. 310. Sa0. = 10. 310310. 50B
126. 20. 41040.
127. P gionlo.
128. 20. 4040
129. BIc.gIOq
130. 2. 31csI
131. a 200.
132. 10.300410. 5I1
133. H20. 400 410.
134. I1. 300. 410
135. 21.310.400
136. E1 4 300, 21. 3t0 410-
137. Et compendiosa expressione:
138. 3.62631.
139. 2.10.400. 310. 540(F 1x 12. 10300 1Bs1 (t 1y 3. jig t. 41) 2
140. 3. 20. 400910
141. 3. I. 310 10
142. v. 440
143. 4. 11. 300410
144. 4. 21. 816. 100
145. canon
146. = 1619651 520
147. 1. 10o
148. 21910. 0.
149. ritus
150. x
151. ylys - p. 52d74
152. D= rm. S1ox +m. 2Scpdx un suxan +4. 2. 520 (Ardx + g. 2 510 X lx +9. 5I1 u
153. . ubsi ali artitur io 10 21, 300, 310, q0o alo lias inaequ on aquinglitetas
154. -Y. 52
155. ay +n. 510 hycy +h. 318) Y H. 511 dy Yy
156. quodsi ponamus p esse o, et mottieu depressa lri formula ad gradus teltium. Et hanc multiplicando
157. per X+ W restituetur aequatio quarti gradus tot quot prior arbitrariarum.
158. cum hoc canone conmparetur aequad () in pagima 3ta plagulae 14 Martii 1693 quae aequado est
159. pro linea sochitem exx calculo Hosurtatiano, et ob ob P, , p, p in ullimis termnis fit n2 + 273 + 56 = 61 427313
160. est imaginaria, et 72. 22+61 737 2. B.13(rbi
161. et fit 72.72 4+ 2. 612 = 0. seu 72 = 2- 62.621 aq oportet multiplacare camonem
162. inferioris quadus multa
163. Maximi 4 termini orinatur ex solis proxime
164. x Cxdy et hoc in camus in 19
165. lu
166. rax
167. sit quambilis dicto aequationi. faciendo,
168. prodit VXy ex + beXyous e pax + V X A. qtou um nos suau conferendo cun temum sumur ayinors C pagnae
169. X dy C p 19
170. piu
171. it Vax
172. 3drto plagula e martus sit 3. 72. 7343. 6 2. 23.73664
173. = + 27343. 6, u 92. B3( 6,4) seu 72,72 +4. 73. 73 = 4.72. 73
174. quod est possibile sem sed fit 72 - 3. 73 = 0 sed hoc rursus 9 intentum
175. unde calculum peragere, opus non est
176. 400e
177. 9tsro. 504052
178. Ho (209
179. Hoyo
180. 520
181. 320 o o X Yx 1C ) lBiB Xpau ut 31D oKL By, d
182. Jono Hory
183. 3. 21. 3 3. H1 y H. y0
184. pon lo 19q
185. 213 eno 2 u ato 2i to
186. oito su
187. o
188. 1. 510d10
189. W, 4. 514
190. ( e. 316. S10)
191. 1.4.
192. o

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 258r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0511?run=74