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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 262r

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: 0.92.

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

The same scan as fol. 261v (00068196:0518), where its text is given.

The machine reads it as

  1. sit planum Bed referenium ad tres rectas AB, AC, Ad, inter se noruales tjus sectiones cum planis ABC, ABD, ACd suit reta BC, 6B, cd.
  2. patet esse BC = AB + BC, et BD = AB + AX et CD = AC + AD et rursus 2AB = BC - CD + DP
  3. 2AC = Cd- DB+ BC 20 - DB = HE Z cd
  4. Oblato jam puncto E, cujus sublianitas sit A longitudo AM, loniliaquitudo sit AM. latrendo AQ, altitudo AN, debet aequatio invenir relatione
  5. exprimens inter indeterminatas AM, AN, AZ, interventu determinatarum AB, AC, Ad. Scilice, indeter minabo formant parallestepedu
  6. cujus unuop E est in suctimi, reliqui omnias iq dictis planis normalibus. Scedqui Mechodus pro culculo tolis esse potest
  7. cum E sit in plano Bcd, sequetur ex l sola distantia a B et C, ejus silum determinati, Ergo ex EB, EC, inveniri potest Ed. N
  8. ad ex ipsa generali relatione puncti aE ad tres normales palat calculus docet fore (F = AM + AC- rAC. AN + AN + AC
  9. EB et B - AM + AN + A9 EC = AM + AC = AN + AQ ED=, AM + AN + AD - A72. Ergo ita ED (ut EB EC) jam habetur
  10. sed ex natura plani datur EB. ED, ex ipsis EB, EC, nam in plano si debur locus puncti E, di Ergo habetur caquatio. Q
  11. Nolo absolvereu calcutum, jadicare tamen placet.
  12. Ex E et d, argantur nonmales in BC, scit. E_, et d dR. jam
  13. ex EA, fi. jam fit ER trianguli BCE aream dividendo per semilatus BC, adeoque tit
  14. GH = sCE +E = BC. BC - C- EB: 2BC et BH = BC - CE + EB, : 2BC 1 fiat autem ED = SDR - EH + BA- BX
  15. similiter DR = S co + DB - Bc . BC2 - cD + DB : 2BC et BR = BC2 - cd2 + BB, : 2 BC 1
  16. Ex hoc. calculo, ut oiter dicam patet theorema notabile, esse AB med. prop. inter BR et BC
  17. nam invenimus esse AB = BC - CD + DB,: 2 et BR. BC etiam = BC - CD2 + DBV
  18. Est hoc memorabile pro solidis Theorema, et ad facilitatem taleuli non spertendum.
  19. in valorem priori aequando, et omnia ipsasue
  20. Figua melius delineanta
  21. et superfluis exoneranda
  22. adeo BC, CE EB, BC, cd, DB per AB AC ad AM, AN
  23. rinatarum cujus locus est ad planum

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 262r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0519?run=74