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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 30
# Folio 78r, page id 00068124:0155
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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