[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 55
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: 0.91.
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The machine reads it as
- RINCIPTA MATHEMALICA.
- PX DF ut arca dato cempore descripta, le cus pel
- un subduplicata racione laceris recti.
- l
- P RIMVC.
- et
- Corol. L. Latera recta principalia lune in ratione compolica ex
- duplicata ratione perpendiculorum ee duplicata ratione veloci-
- tatum.
- Corol. 2. Velocitates corporum in mavimis et minimis ab umbi-
- lico communi distantiis, sune in ratione composita ex ratione di-
- stantiarum inverse sc subduplicata ratione laterum rectorum princi-
- palium directe. Nam perpendicula jam sunt ipEx distantiae.
- Corol. 3. Idcoque velociras in Conica sectione, in maxima vel
- minima ab umbilico distantia, est ad velocitatem in C’irculo in ca-
- dem a centro distantia, in Cubduplicata ratione laceris recti princi-
- Dalis ad duplam illam distantiam.
- Corol. 4. Corporum in Ellipsibus Srrancium velocitates in medi-
- ocribus distantiis ab umbilico communi (unt cadem quae corporum
- errancium in Circulis ad casdem distantias; hoc est (per. C orol 6.
- ErOp. IV.) reciproce in subduplicata ratione distantiarum. Nam
- Derpendicula jam sune Cemi-axes minores; ex hi sunt ut mediae
- proportionales incer distantias ex latera recta. Componatur haec
- ratio inverse cum subduplicata ratione lacerum rectorum directe, et
- tiet rario subduplicaca distantiarum inverse.
- orob. 5. In eadem figuras rel etiam in figuris diversis, quarum
- latera
Cite
[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 55. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0089?run=74