Leibniz-Handschriften zur Mathematik LH 35, 10, 18, fol. 12r
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: 0.87.
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The machine reads it as
- Ad Dn Ferdinandi Helfrici Licht scheid
- WurulaAustriaa concionatoris
- Cizensised considerationes de
- velocitatibus pendulorum in diversis
- circulis
- quaeritur qualis sit in curva
- (C) cujus talis sit proprietas
- ut posita BE constanti a,
- et AB vel AC, X, et EC, y
- sit yy= 2ax - aa
- sit Hoc ita investigabo:
- (2)
- sit AE 7 = dXX yy
- seu X = Z2+ yy
- xaeq. 1. fiet yy=2a 1724yy-aa
- 5
- seu y + 2aagy +a = 4aaZZ+4aayy
- seu
- 416
- y - 20a9y+ a = 4 a 4Z.
- e
- ac denique fyu Jaa = 2 aZ seu yynaa - 7242
- est aequatio in parabolam
- lacet quae Du Lichtscheid ingeniose exco-
- DF
- gitiavt cirea motus ad pondulorum tam per geometriam
- quam per examinan expertmenta examinandos
- Si sit y = a fiet Z= 0, et coincident (C) et A
- ut sit y = 0 fiet yy = + 2aZ + aa = 0
- adeoque Z= + a: 2. si itaque id punctum curva
- seu vertex sit V, fiet VA siu Z eo casu = a
- 10)
- e
- sit ergo v = 2a +Z. seu Z= v- a fiet
- 11)
- q. 8, et ex aeq. 8 fiat yg = + 207 +aa, (consi-
- derando scit. ut regulairter majorem quam af
- (126)
- cum scil. y est affirmativa) fiet yu= 2a0 -aa + aa seu
- yy 2av
- parabolae
- itaque a est semilatus rectum
- SSC 35 vot 10, Mr. 18
Cite
Leibniz-Handschriften zur Mathematik LH 35, 10, 18, fol. 12r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068172:0023?run=74