From: Dr. Dimitris Skouteris (skouteris(@)theochem.uni-stuttgart.de)
Date: Παρ 23 Νοε 2001 - 18:42:08 EET
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Wraia, twra pou megalwse pia o Mikroutsikos as perasoume se alla... Allh mia trelh 'apodei3h', auth th fora sthn Eukleideia gewmetria...
(Zhtw suggnwmh gia to pana0lio sxhma mou kai e3hgw amesws ti upoti0etai pws einai. Megalwste to Window wspou na to deite kala).
A
I
II II
I I I
I I I
I I I
I I I
I I I
I I I
I I D I
I I I
I I I
I I I
I I I
I I I
B IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII C
Exoume tuxaio trigwno ABC, me th dixotomo ths A kai th mesoka0eto ths BC na temnontai sto shmeio D. Sugkrinoume ta trigwna ABD kai ACD :
- H AD einai koinh.
- BD = CD afou to D einai panw sth mesoka0eto.
- Gwnia DAB = Gwnia DAC, afou h AD einai dixotomos.
Exoume duo pleures kai mia mh periexomenh gwnia ises. Auto shmainei oti to allo zeugos mh periexomenwn gwniwn (ABD kai ACD) einai h ises h paraplhrwmatikes (a0roisma 180 moires). Omws profanws den einai paraplhrwmatikes, afou einai mikroteres apo tis ABC kai ACB antistoixa kai to a0roisma ABC+CAB+ACB=180 moires (gwnies trigwnou !). Ara einai ises...
Ara ta trigwna ABD, ACD einai isa...
Ara AB = AC (apenanti apo ises gwnies, ises pleures)....
Ara to arxiko trigwno isoskeles... Ma htan tuxaio trigwno... Ara ka0e trigwno einai ISOSKELES !;!;!;!;
Pou einai to sfalma ;;;
Filika,
Dimitris
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