Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 78r
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: 0.77.
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The machine reads it as
- Triangulum rectangulum ABC quadrata laterum ABDE, BCFG, ACHI. ostendendum est per partes
- dissectas duo priora simul aquan terno
- continuetur HC, dum ipsi BG occurrat in K. Et in CB producta sumatur C Laoqualis ipsi AE jungatur EL
- et angulo ELM recto dutatur LM ipsi AB occurrens in M. ita secuimus quadrata minora
- Continuetur EA in N, ut sint AE et AN aequales, et juncta iN, producatur, dum ipsi H occurrat in O. E
- H agatur ad i0, normalis p. et LB translata in 19, ex Z angulo recto
- dulatur ER, ipsi HI occurrens in B
- s
- d. ANI = EDL, nam ED = AN A (quia CL = AE) erit ACveI) AI = EL
- D. CANO= LEkM nam AA= EL, AN = CA. Ero
- es ab C
- Ergo cum congruant NAC et AEL, ideo lisdem angulis (nempe rectis
- eductae illic ext N et C concurrentes i O, hinc ex A et L concurrentes
- in M, absclornt congruentia
- NOC, AML
- D. LiDa
- CBK. Nam quia
- Anguli 1AC, NAB recti, adeoque aequales
- demto commum NAC, sunt 1AN, BAC
- aequales, vel BAC et OIH,
- ergo 10 et AK paraacta
- et DR=HC, et denta OC
- communi A0 CK et
- ob angulos B et D, recto
- in parallelas, congruunt
- CBK et HPO
- et. HP9R- CFGF
- +
- ut
- Nam H(P= CF, porro IZ=FG
- 2
- noze AB= DB, et LB= 12
- ugo ep=DL
- egi
- e
- 2
- ER n G HK CK, quia KO( AI) = 1H
- et CF Supra L =LM et LMmox = IK
- D.denir 19R= LBM, quia onguli R1Z et MLB aequales
- e
- LLB ex constructione
- ex
- vonle, ea
- Sapcoadim Vauboo
- la
Cite
Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 78r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068124:0155?run=73