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By Ferenc Kárteszi (Eds.)

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Ncinpe abhinc i illain reclam det\oret, cuius f = s i~ t , erit T = I' tang z. ) 5. 31. ) Ad resolutionem omnium &lorum rectanguloruni reculiiieoruiir irigonomelricam (e qua oinnium a f o r u m resoiuLio in promtu est) in S , J J4 3 aeqnationes snElicinnt :nempe (a, b eathetos, c hypotenusam et a , p A i o s cathetis oppositos denotantibus) aequatio relationein exprimens Imo inter u, 6 , a ; 2do inter a, a, P ; 3tio inter a, I , c; nimirum ex his refiguas %per eliminationern prodeunt. 25. et 30- e s t .

This sudden occurrence of the final form directed his pen when writing the famous letter to this father on 3rd November 1823: “. I have created another world, a new world from nothing: all I had sent before was merely a house of cards as compared with a tower. ” The father, in his reply, tries to cool the enthusiasm of JBnos. He is anxious for his son since he cannot believe that Jhnos has really found a new way which leads him to the solution of the problem open for two thousand years. In February 1825 Jhnos visits his father in MarosvBsfirhely and shows him the construction of absolute space science in detail.

Its title was: Appendix scientiam spatii absolute veram exhibens: a veritate aut falsitate Axiomatis XI Euclidei, a priori haud unquam decidenda, indipendentem: adiecta ad casum falsitatis quadratura circuli geometrica. For brevity, these works are usually referred to as Tentamen and Appendix, respectively. The offprints of the Appendix came out in June 1831. FARMBOLYAIsent the Appendix to GAUSS and, in the name of his son, asked his opinion. GAUSS’famous reply bore the date 6th March 1832. Farkas had it duplicated and sent a copy to J b o s who was staying in Lemberg.

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