[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 186

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: 0.82.

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The machine reads it as

1. 50
2. PHTLOSOPMTSE NATDRALIS
3. PROPOSITIO LIXKI PROBLEMA XLI.
4. stantibus jam positis, mensuranda est Area ABN A.
5. a puncto ducatur recta A SpeaM CanSCHS I1I, l al
6. axem P AB demissa normali FYI, BisCCCtUF FY in L; _ CriE
7. (per PrOD. 12, Lib. 2. Elem.) FFg aequale FS9 + SF9 +
8. 2FSD. EA auTem SF. 9 Ccu SPIg (ob similitudinem trianou-
9. lorum SP FI, SHT) aequale rectangulo PSI. ErgO F F.g aequale
10. eA CONTeNEO SUB FS e F5 + ST + 3SD, hoc CA, (UB FS de
11. 2F.5 = 2SD, id est, sUb FS _C 2F. D. POrrO D F quad aequale
12. CA SFg - SD g. Teu SF g - L S9 + 25L. D = F D 9, id eAt,
13. 2SL. D = Z. Dg - AL B. Nam L.S9 =SF4 (Cu L,5g -5A.q
14. DE NOTD
15. EORPORVM
16. (Der PrOP. 6, Lib. 2. Flem.) aequatur rectangulo AL B. Scriba-
17. eur ieaque 2SLD =T Dg - AL B PTO D F.g; de quancitas
18. DF 9
19. F
20. X TS
21. YV quae secundum Corollarium quartum Propostionis
22. praecedentis est ut longitudo ordinatim applicatae DN, resolvet
23. sese In EreS Dartes 2SL D XFS LD9XF5 ALBX FS
24. P L XV
25. PEXV
26. ribi s prO V scribatur ratio inversa vis centripCtX, _ pFO F F me
27. dium proportionale inter P S _ 2L. D; tres illae partes cradene
28. ordinatim applicatae linearum toridem curvarum, quarum arex PCF
29. Mechodos rulgatas innoteleunt. d. F.. F.
30. CiXe

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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 186. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0220?run=74