[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 253
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
- LHINOIDIA MATHEMATLCA.
- SF CTIO
- De Corporum Circulari Motu in Mediis resistentibus.
- E F MI M A III.
- Sit PORL Spiralis quae secet radios omnes SP, SO SR, ec.
- in aequalibus anculis. Acatur recta PT quae tangat eandem in
- puncto quovis P, secetque radium S in Y; e ad Spiralem
- erectis perpendiculis PO. O concurrentibus in O, juncatur
- SO. Dico quod si puncta P es O accedant ad invicem e co-
- eant, angulus PSO evadet rectus, e ultima ratio rectanculi
- TOX 2PS ad P Oquad. erit ratio aequalitatis.
- Etenim de angulis rectis O F Q, OQ R subducaneur anguli
- aequales SP Q SQR, et manebune anguli aequales OF5, O95.
- trso Circulus qui cransie
- per puncta O, S,F erant.
- ibic etiam per punctum .
- Cocant puncta F et a
- e hic Circulus in loco co-
- itus F Q tanset Spiralem.
- adeoqueperpendiculariter
- secabic rectam OF. Fic
- isitur O F diameter Cir-
- culi hujus, ec angulus
- dS F in Cemicirculo re-
- etuS. d. P. D.
- AdO P demittantur perpendicula 4D, SF, ec linearum ratio-
- nes ultimae crunc hujusmodi: T9) 2d P D ut ZS vel FSad PF,
- Tcu 2FO ad2P5. Item F D ad F ut P e ad 2PO. LF CX
- aequo perturbate T e
- 2d ~ G uc P _ 2d 2F5. Vnde Fc P 94
- equale TQX2P5. & F D.
- EIBeA
- SECURVOS.
- aaCt.
Cite
[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 253. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0287?run=74