2021-10-01から1ヶ月間の記事一覧

c;20 x^6-72 x^5 y-212 x^5+124 x^4 y^2+704 x^4 y+921 x^4-136 x^3 y^3-468 x^3 y^2+2238 x^3 y+7254 x^3+84 x^2 y^4-272 x^2 y^3-6105 x^2 y^2-15102 x^2 y-1755 x^2-32 x y^5-124 x y^4-2442 x y^3-23868 x y^2-65826 x y-37584 x-48 y^5-339 y^4-3114 y^…

c;20 x^6-72 x^5 y-212 x^5+124 x^4 y^2+704 x^4 y+921 x^4-136 x^3 y^3-468 x^3 y^2+2238 x^3 y+7254 x^3+84 x^2 y^4-272 x^2 y^3-6105 x^2 y^2-15102 x^2 y-1755 x^2-32 x y^5-124 x y^4-2442 x y^3-23868 x y^2-65826 x y-37584 x-48 y^5-339 y^4-3114 y^…

c; x^4-264 x^2 y^2-128 x y^2+16 y^4-16 y^2=0 は 可約曲線 reducible curve c1=0,c2=0 であり 双方とも双曲線であると云う。 ならば 漸近線が在る。其れ等を求め 整数解 c1∩Z^2,c2∩Z^2 を求めて下さい; 双対曲線 c1^★ ,c2^★ を https://www.geogebra.org/…

c;945 x^8-4644 x^7-11484 x^6 y^2+10044 x^6+26532 x^5 y^2-12744 x^5+17040 x^4 y^4-31248 x^4 y^2+10638 x^4-18864 x^3 y^4+22032 x^3 y^2-6156 x^3-6124 x^2 y^6+12888 x^2 y^4-10368 x^2 y^2+2484 x^2+2424 x y^6-4320 x y^4+2916 x y^2-648 x+696 y^8-…

c;945 x^8-4644 x^7-11484 x^6 y^2+10044 x^6+26532 x^5 y^2-12744 x^5+17040 x^4 y^4-31248 x^4 y^2+10638 x^4-18864 x^3 y^4+22032 x^3 y^2-6156 x^3-6124 x^2 y^6+12888 x^2 y^4-10368 x^2 y^2+2484 x^2+2424 x y^6-4320 x y^4+2916 x y^2-648 x+696 y^8-…

c;945 x^8-4644 x^7-11484 x^6 y^2+10044 x^6+26532 x^5 y^2-12744 x^5+17040 x^4 y^4-31248 x^4 y^2+10638 x^4-18864 x^3 y^4+22032 x^3 y^2-6156 x^3-6124 x^2 y^6+12888 x^2 y^4-10368 x^2 y^2+2484 x^2+2424 x y^6-4320 x y^4+2916 x y^2-648 x+696 y^8-…

x^4-8 x^3 y-4 x^3+4 x^2 y^2+27 x^2 y+3 x^2 -8 x y^2-8 x y-4 y^3+16 y^2-12 y=0 の二重接線を 多様な発想で 求めて下さい^(2021); ↓の手法をも用いて 提示願います: https://math.stackexchange.com/questions/3436714/algorithm-to-find-common-tangent…

c:16777216 x^9-79036416 x^8 y+149707008 x^7 y^2-147529728 x^6 y^3-319832064 x^6 y+81119232 x^5 y^4+1389617856 x^5 y^2-23887872 x^4 y^5-2447247168 x^4 y^3+665127936 x^4 y+2985984 x^3 y^6+2255257728 x^3 y^4-1831796208 x^3 y^2-1174051584 x^2 …

c:16777216 x^9-79036416 x^8 y+149707008 x^7 y^2-147529728 x^6 y^3-319832064 x^6 y+81119232 x^5 y^4+1389617856 x^5 y^2-23887872 x^4 y^5-2447247168 x^4 y^3+665127936 x^4 y+2985984 x^3 y^6+2255257728 x^3 y^4-1831796208 x^3 y^2-1174051584 x^2 …

https://math.stackexchange.com/questions/3436714/algorithm-to-find-common-tangent-to-any-two-conics を 味読 し https://www.yu-hanami.com/entry/2019/05/22/170200 倣い; -4 x^3+x^2 y^2+24 x^2-10 x y^2+y^4=0が 可約曲線 reducible curve c1=0,c2…

c ; 27 x^6-270 x^5 y+981 x^4 y^2-27 x^4-1540 x^3 y^3 +972 x^3 y+981 x^2 y^4-1458 x^2 y^2-270 x y^5 +972 x y^3-729 x y+27 y^6-27 y^4=0 は 可約曲線 reducible curve c1,c2 であることを示しc1,c2の交点達を求めて下さい;cの双対曲線c^★ を 多様な発…