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Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 308v

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: 0.68.

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

The machine reads it as

  1. e
  2. 20 20
  3. +-8
  4. es
  5. 20
  6. aae t
  7. 1
  8. proba: esto 1. P. 10. Gnt 2= 20021- a 2 (a pro 5. crit 25 2 f se
  9. +2- a 2 est 150 150200f 4 5000 qde 30000ei
  10. 173. adimatur aj. Yq seu a 20c. remanent 27. fiat
  11. A9. de 27. ea est plus 5. seu major dimolia chorda
  12. quod praestare debebat. Hoc ad evitandum taentum calculi
  13. a oferrinem fauie
  14. isi
  15. a 7
  16. amp aj Lastuna ea d ae
  17. huus tiGeur nt 11S 9 L eii odi
  18. 15
  19. ept - ee
  20. 16 - 25
  21. dite
  22. 44
  23. sit
  24. plil du
  25. Ea vigo a
  26. q
  27. 21221 B
  28. rat d. ( 4 pa
  29. a5Za, a1 + a44 a2
  30. adi
  31. 432
  32. 22a2
  33. d un
  34. abmdam 2V = R4 A, a 4 . toligom sequentie
  35. 64daum 7
  36. cNI
  37. 1e
  38. p
  39. 4 a
  40. vind
  41. quavord
  42. p 4 al qaua
  43. 10Ha1Y
  44. E
  45. auso aer
  46. ratio facilis cogpitis a. t
  47. sumon
  48. differentiis quadratorum datarradca
  49. on vlunus (2o en eine
  50. Aliquando ulile est usimnque aequalium ad he
  51. dem zolentiam rediderem Et forto had
  52. haoe pleraeus aquad solvi possinte, auta
  53. nit apidq redilci
  54. it fur. 16
  55. EI. . B poaib mB d queu
  56. 4 Es) - 4 42) 16- 4 f26t, 2. E52
  57. 16C + 16 -
  58. 13-. (-17
  59. 768
  60. des
  61. 90
  62. 1. 5L
  63. 16 +
  64. A stis
  65. + 4D
  66. ex iemuis iou
  67. ex B a ena + 4q6
  68. ido ut
  69. 2486 +x2 2 C 26 j .
  70. Radigssan esto 1Y.
  71. Pinus lateris Polys goni esto a. b
  72. A. sinus Polygoni a1 se
  73. H. radii 1. V
  74. D Fuleri est D radii de _ ing seu a - 1)
  75. Fulcrum est Rq. a2. Y 1Y+- a4
  76. 60
  77. Sagitta est Radius demta Tulero seu ls Rq. D - aY
  78. SL 32
  79. Tentemus an sagilta aliter et commodius exprimi possit, subtrahendo
  80. Tulerum a radio utroque redacto ad communem potestatis denon
  81. minatorem, seu assumto utriusque erit
  82. Rg a 1s H
  83. Nam si subtrahere velis 3. a R4. 16.
  84. Qoudratum sagiltae est:
  85. 1) tA a 15 Ric1 a
  86. a2 do R4 a - 1+Y 22, - a tr
  87. a 1 13 + 1 - a, -25 aq 12 42 1eq. 11 - d, 2
  88. a= eq 1t a 13
  89. 2
  90. Aequ Z a= C 4 F R4 45 a4
  91. X2l a er 2 26a obe 1S + 14 - a G, R9c 45 a 4b, + a1r
  92. Quadratum Lateris Polygoni sequentis est Quadr. Sagittae plys d. sinus aut set
  93. polygoni praecedentiis
  94. 242 = R9. a9 13 17
  95. Rg. 2 a2 = R9c a 1Y f 13
  96. Sarita est: 11 - Bq 1 -
  97. D sagilte est (4
  98. a
  99. +ra gt
  100. + 1a
  101. Ta a3. = 133- 13 a
  102. qu adu
  103. e
  104. ia
  105. 4 22+ + 154 = a9- 142 u adho rau, hoguire sominas diffrasdie
  106. + 1sL a 1
  107. =A41 = a, 2
  108. =R4 P. 47
  109. st- a, Aq 4)Y= a4 Huic quadrato sagitae
  110. 2Y = eg. 4 a 45
  111. 1∞
  112. 25 - (19414 243
  113. p nac 43 a
  114. 2 163- a,
  115. 4
  116. b
  117. si
  118. addatur essinus fiet +
  119. 23 detis 1 - a
  120. C lateris ptoluy goni sequetis.
  121. C+d vi
  122. 2.54- 4c 2
  123. 27 - R4. 3)
  124. an
  125. 241
  126. oy reza
  127. 4Y-12= 390 21 4.64)399
  128. 2 d 12t00.
  129. 240. 00
  130. 306tis
  131. B mncri tq
  132. 2 Z.Aa 1 a = Lateris Polygoni seqieri i at
  133. 8
  134. 2 A, 1 12 a
  135. 2I. Ry42 442
  136. Duplicato Quadrato sinus (Polus quin praecedentis) detracto a
  137. Ryp K 94 +
  138. duplicato quadrato radiu; Residuum multiplicatur per residuum
  139. duplicatum quadratum radu. Erbducti radix quadrata subtrahitur a
  140. duplo quadrato radio: Residtui radio quadrata est
  141. Latus polygonisequentis. Primus sinus est dimidium
  142. radit, et primu latus est ipse Cadius lY. secundum Latus est Rq 2= R93 24
  143. tertiun sabu est RG c 22 R 242 2 - Rg R948- 4 12 1 ((1q 144822 4 414
  144. Quartum latus est: R4 Lq = Rq S R4 R4 124882)-68
  145. E Notasi a. omiltas erit 2squ_q 2Id A= 2y- eg444 seu 29 -2 150
  146. Nunc adjuciendo a. 235241 = 441) cujytq es 2 a = 2a. riat:
  147. 2-2a 1a
  148. la 2a + 4+ a d N d 6a a2
  149. a
  150. A
  151. 2241 42221254
  152. Ern
  153. 1524
  154. 10t+ Z
  155. 134
  156. 40c. + a nano. d. 1. 411
  157. quaerende
  158. 1 ar 406 rq
  159. M
  160. N
  161. 14
  162. 4 a Siq. C = 4 a1, 27
  163. 4a
  164. Rgae
  165. Rq
  166. 29 1 2
  167. 2 - R948
  168. 2+
  169. 1 eC
  170. 104 a + 1 a - 5G R9. 48
  171. rgaq
  172. 24. nq Sit X. HI13
  173. 2, = 42 Ay 1344,
  174. 11- 24- aF
  175. R91 L
  176. 91
  177. 1.
  178. 4 47
  179. 12. 18 4, p - p
  180. 2+ A912II -24C.
  181. 44 _(121- 2 e
  182. 3611 - 812 = 2944
  183. 2 4 A9+2 21
  184. a 5- a a 103
  185. 4-Bqu a4 1 6ud
  186. 2+2282 verta-equ’aqua a
  187. 21 2- 21 a = 215. 4 1) K L 1s
  188. ae a 10-. 29 - Ry 8ie Aq uqur

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 308v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00067993:0618?run=73