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楼主: lsr314

[提问] 三角形内三个四边形的内切圆

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发表于 2019-1-2 20:06:30 | 显示全部楼层
小曲边的三角形的三条曲线终于被破解,如下:


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8c^2-24b^7c^3-6b^6c^4+36b^5c^5-6b^4c^6-24b^3c^7+9b^2c^8+6bc^9-3c^{10})(a+b-c)^3(a-b+c)^3(a-b-c)^4x0^3y0^4-16a(3a+b-c)(15a^2+12ab-12ac+b^2-2bc+c^2)(a-b+c)^4(a+b-c)^5(a-b-c)^8x0^7-4a^3(a+b+c)(5a^6-34a^5c-11a^4b^2-8a^4bc+51a^4c^2+44a^3b^2c+48a^3bc^2-28a^3c^3+7a^2b^4+8a^2b^3c-38a^2b^2c^2-8a^2bc^3+31a^2c^4-10ab^4c+20ab^2c^3-10ac^5-b^6+3b^4c^2-3b^2c^4+c^6)(a-b-c)^4(a+b-c)^4(a-b+c)^5x0y0^4=0





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毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
发表于 2019-1-3 16:29:54 | 显示全部楼层
@数学星空. 这个太长了,有点恐怖,, 虽然计算出来很不容易,但缺少了美感,不好玩,我们要老胡的美妙作图~

点评

呵,费了不少劲~贴出来只是想说明这个曲线很复杂  发表于 2019-1-3 17:43
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
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