[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 268
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: 0.81.
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The machine reads it as
- 268
- PHILOSOPMISE NATDRALIS
- DEMoTD CEnErO S, ACymptotIS SA, Sa, describatur Hyperbola que
- Conronon vis, quae secet perpendicula A, BL, CK, _C. in a, b, 6, etc. UC de
- perpendicula ad alympeoton S’x demissa I+, Tu, R W in B, I, K3
- ec densitatum differencixe +U H W, _C. CrunE u I
- d
- FodcC. LC
- rectangula FW Z FB, it Z W in _C. (CU F p, ug, dec. u = XFB
- BTX VI
- SB
- ec. id est, uE A a, Bb, ecc. F A enim, ex natura Fyperboloe,
- 5A 2d AH vel SF ut +B ad Aa, adeoque
- IHIXtL
- Ec Smili argumento est=
- L. XUE
- P sequale BB, _C. Sunt autem Aa3
- Bb, CC, aC. continue proportionales, ec propterca disterentiis su-
- is Aa = Bb; Bb = CC. ecc. proportionales; ideogue diAerCMLIS
- portionalia lune rectangula +p, ug. ec. uc de summis diste-
- rentiarum Aa =CC vel Aa = D d Cummxe rectansulorum +p F uq
- vel Ip L ug F 2Or. Sunco ejusmodi termini quam plurimi, sc sum-
- ma omnium diferenciarum, pura Aa - ff, erie lummx omnium
- rectangulorum, puta zthn proporcionalis. AUGCAEUT numeruS
- cerminorum de minuantur distantiae punctorum A, B, C, ecc. in in-
- nitum, ec rectangula illa cradent aequalia arex Flyperbolica ZYBn
- adeoque huic areae proporcionalis est differentia Aa -Ff. Suman-
- X
- tisce pre
Cite
[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 268. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0302?run=74