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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 104

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: 0.88.

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The machine reads it as

  1. L E C F. XI.
  2. AF. C aquarur Circulari seemento ADB demonstrationem, ne longius
  3. erager, obmirram.
  4. XXXIV. Sint duo sirculi AIMO, AKNH sele contingentes ad A;
  5. communique diametro A H C, urcunque perpendicularis ducatur rect a
  6. DN M: habebic scementum AIM D ad sesmentum AKND mino.
  7. rem rationem, quaM rECtA DMI ad rectam D N.
  8. Nam lic A R ad AC perpendicularis, ac ip(I A HI aequalis; e
  9. connectatur HR, cui occurrat recta M D in Z; ducaturque recta
  10. GXS; tum ad axem A C parametrum AS per N descripta con-
  11. cipiatur Elipsis ALNCI; haec Cuni Pacis manifestum) intra arcum
  12. AR H TOta cader. Fs autem SCOM. A IMD. sCOM. ALND: 3
  13. DM. DN. erso Ccom. AIM B. (CGM. ARND =3DM. DH
  14. XXXV. Sic EIlipLIS YEZT, cujus axes conjusati YZ, FT; sit item
  15. i8= 154. recta DC axi majori YZ Parallela; e per D, F, C cransear circulus
  16. DECV centrum habens K, in elliplis aze minore L. Y sicum; dico
  17. circuli partemM DOFPC inera ellipLIS DarFCM DMENC jacere.
  18. Nam (iCF Lad FV perpendicularis, _ in haC TUTATIW FS = FV; _
  19. connectatur V S, cui DC producta occurrat in X; ee connexa I X
  20. ipsi EI occurrat in R. _E Cum (IEC D 9 =- F C3 X C, V==- F C, X6X
  21. liguer ipsam FR esse ellipsis, axi F Tcongruam, parametrum; unde
  22. constat Propolitum.
  23. XXXVI. Sic circuli, cujus centrum L, segmencum DFC, e sumpto
  24. in ejus axe CF. puncto quopiam F, siC curra DMFC talis, ut ducta
  25. vtcunque recta RMS ad C, F. paraNeli, sIE RS. RM:: G F. GF
  26. exIFDMEC ellipsIS, hoc modo dererminata: FIaE F G. F C :: C,L.
  27. OH; _ Per H erigatuE YHL ad DC. parallela, CIEquC HY par ipE L F:
  28. exunEHT, HIE ellipsis semiaxes.
  29. Demonstratum habetur à Creg. a S. Vincentio, L. IV. PxOP. 154.
  30. Corol. Elinc leBM. DEC. DMEC:: FC. FC.
  31. ZXXVII. Sint dux circuloru pOrtIONES DFC, DOFC. quarum
  32. communis subrensa DC, _ axis CFF; portio major DF C ad porrio
  33. DEm DOFC majorem rarionem haber ea, quam habet axis C F. ad
  34. AXCI GF.
  35. Nam sinE L circuli DSFC, _ R circuli DOFC CCNTTA, _E Hat FO.
  36. FCi::GL. CH, _ Hac ZHIZ ad HII perpendicularis, _ sIE HI X
  37. qualis ips LP. cum semiaxibus HT, HIE descripta concipiatur ellipsIS
  38. XDMECZ; e mox praedictis liquer elliplin DMFC circulO DOFC
  39. circumduci. F.s autem circulare segmentum DFC ad sexmentum el
  40. lipriCum DMFC, ut CF ad CGF; quare segA DFC ad seom circula-
  41. reDOFC. racionem haber majorem, quam GF ad CF: Ouod. F. B.
  42. LPer.
  43. EiB. 154.
  44. F18 155.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 104. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0326?run=74