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Formalization and automation of Euclidean geometry
ΠΠ°ΠΏΡΠ΅Π΄Π°ΠΊ Π³Π΅ΠΎΠΌΠ΅ΡΡΠΈΡΠ΅ ΠΊΡΠΎΠ· Π²Π΅ΠΊΠΎΠ²Π΅ ΡΠ΅ ΠΌΠΎΠΆΠ΅ ΡΠ°Π·ΠΌΠ°ΡΡΠ°ΡΠΈ ΠΊΡΠΎΠ· ΡΠ°Π·Π²ΠΎΡ ΡΠ°Π·Π»ΠΈΡΠΈΡΠΈΡ
Π°ΠΊΡΠΈΠΎΠΌΠ°ΡΡΠΊΠΈΡ
ΡΠΈΡΡΠ΅ΠΌΠ° ΠΊΠΎΡΠΈ ΡΠ΅ ΠΎΠΏΠΈΡΡΡΡ. Π£ΠΏΠΎΡΡΠ΅Π±Π° Π°ΠΊΡΠΈΠΎΠΌΠ°ΡΡΠΊΠΈΡ
ΡΠΈΡΡΠ΅ΠΌΠ° Π·Π°ΠΏΠΎΡΠΈΡΠ΅ ΡΠ° Π₯ΠΈΠ»Π±Π΅ΡΡΠΎΠΌ ΠΈ Π’Π°ΡΡΠΊΠΈΠΌ Π°Π»ΠΈ ΡΠ΅ ΡΡ Π½Π΅ Π·Π°Π²ΡΡΠ°Π²Π°. Π§Π°ΠΊ ΠΈ Π΄Π°Π½Π°Ρ ΡΠ΅ ΡΠ°Π·Π²ΠΈΡΠ°ΡΡ Π½ΠΎΠ²ΠΈ Π°ΠΊΡΠΈΠΎΠΌΠ°ΡΡΠΊΠΈ ΡΠΈΡΠ΅ΠΌΠΈ Π·Π° ΡΠ°Π΄ ΡΠ° Π΅ΡΠΊΠ»ΠΈΠ΄ΡΠΊΠΎΠΌ Π³Π΅ΠΎΠΌΠ΅ΡΡΠΈΡΠΎΠΌ...The advance of geometry over the centuries can be observed through the
development of dierent axiomatic systems that describe it. The use of axiomatic
systems begins with Euclid, continues with Hilbert and Tarski, but it doesn't end
there. Even today, new axiomatic systems for Euclidean geometry are developed..