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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 92

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.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. L E C T. ZXI.
  2. aequatur ipsI R X RMI, vel R X OP. itaque torum spatium AD F
  3. quod ab ejusmodi sectoribus minime diftere adxquatur rOri R XD R.
  4. quod erar Propolicum.
  5. XXIII. Tisdem, quoad exetera, positis atque paratis, duICantuFR FY
  6. adKT, de MIad MS perpendiculares; ex concipiatur jam curra
  7. A F nacura talIS, UF SIE D F = VDR ZDEI; _EDF = V D MX
  8. DI; ac ita perpetuo; erir spatium A D E quadrati ex D R subqua
  9. druplum.
  10. Nam est M P. PR:: DK. DH:: DRg. DR X DHI:: DRG.
  11. D Fg. IteM DP. PM:: DF. F Z; HOC CAEDR. PM:: DF.
  12. FX. CrOOMP XDR. PKXPM:: D RGXDE. DEGXFX.
  13. HOC est DR, PR :: D R g. D FXE Z. VEIDR g. DRXPR:: DR 9.
  14. DE X EZ. unde DR X P R =D P X F X. Siili raTIONED MX MH
  15. (VeIDF FDO) = DEX EY: VeTIM OINIa DR XPR, DP Z
  16. P O, EEC. Eequantur semiss quadrati ex DR; _C OmHIADP X F Z,
  17. DFX FY, SeC aequantur dupto spatio FD A; unde maniseste cOn-
  18. Sequitur Propolitum.
  19. XXIV. Sic curra quaepiam DOK, in qua punctum D; cuique
  20. Tubtendatur recta DK; sic item curra DZ Lcalis, ut sumpro in curra
  21. DOR puncto quopiam M, connexaque DM; ec duct a D S ad DM
  22. perpendiculari, ecM S curram DO R tansente; sumpra demum
  23. DP = DM, _ ducta P Z ad DK perpendiculari, (IE P L =DS;
  24. erit spacium D R l aequale duplo spatio D ROD.
  25. Nam recta RP concipiatur indetinite parra; _ DT ipsiDR per-
  26. pendicularis (IE, _ R T Curram DOR tangat. FRiraque (ducto
  27. AFCUM P) rurtuSRP. PM:: KD. DT:: RD. RI. undeRP X
  28. RI = P M X RD. Capiatur alia particula P 9, _ CeNErO D Pex
  29. ducatur arcus QN, quem secet lubren(aDM in R; est ergorur-
  30. sUSMR. RN:: M D. DS; hocestP 9. RN:: MD. PZ qua
  31. rePO XPZ =RNI XMD; ac ita continuo deinceps. Patet igitur
  32. omnia limul rectangusa R P XR I, P OXPZ, QC. aequari aggrega
  33. EO OmNium P MI Z RD, RNXMD, _cc. hoc est Epatium DR I
  34. uplo spatiODRODXquari. 11
  35. ZXV. lisdem quoad caetera policis arque paratis, ordinatae PL jam
  36. aequales concipiantur ipsis M Srespectiris; ex ad rectam assumpram
  37. XK, distancia sque XK, Zm, Xn, ec, aequales ipsis currae partibus
  38. OOK, DOM, DON, _c. applicemu rectae k d, m d, n d, dc.
  39. Pares
  40. 218. 228.
  41. 2
  42. F1. +30.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 92. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0320?run=74