[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 239
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: 0.80.
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The machine reads it as
- PRINCIPTA MATHEMATICA.
- 239
- AsymPEotOn ejus in V, Fuerit VG reciproce ut ipsIUS Z X vel DN LIVEn
- dignitas aliqua D N, cujus indlex cA nUCTUS n: _E GuATATUY SECLNDOS.
- Medii densitas, qua Projectile proorediatur in hac Curva.
- Pero BN, BD, NX Scribantur A, O, C respectire, sItque V L
- ad XZ vel D N ut d ad es e VC aequalis
- lis A =O, VG -
- =VO aequalis C-
- b
- d
- b
- V7
- A + -O.
- in seriem infnicam
- n = 3n n + 2n
- A = O, de CD CCU NX = VZ
- A
- =n. Relolratur terminus ille
- nbb
- F O = 2n + n
- 2 A 2 = 2 b bO2 +
- 6A2 +3 bbO ecc. ac Het C D aequalis C-
- 2bB
- A F, O.
- +nn +n
- 2 A F 2bbO:-
- jus seriei terminus secundus--
- cerrius
- _ N + n
- n + 3nn + 2n
- A + 2
- A--
- +
- 6A + 3 bbO ecc. TTu-
- ebB
- n F. O usurpandus est pro10
- 2 A F 2bbO2 PrO RO2, Quareus
- 502. Ec inde Medii densitas
- = 3nn + 23
- 6A2 + 3 bbO prO
- R sF + 9~ in loco quoris 6, EC
- 3Va + ad - 2dnbb nnb, adeo que A in Y Z capiacur VY
- eA
- aequalis nX V G, densitas illa CI rECIpTOCC UE XY. Sune enim A=
- da
- ecA
- 2dnbb
- nnB
- eA A F n ipsarum XZ _ ZY quadrata. Ressten
- cia autem in eodem locoC Ac ad gravitatem ut 35 in ad +RR,
- id est, XY 24 2 nn + 2n
- n +2 VG. Et relocitas ibidem ea ipsa est qua-
- cum corpus projectum in Parabola perseret, verticem G, diametrum
- SD ex lacus rectum
- +O
- a
- ser
- 2 XY quad.
- nn +n inY C habente. Q. F.. I.
- Scholium
Cite
[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 239. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0273?run=74