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鵝蛋形

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鵝蛋形

鵝蛋形,又簡單稱作蛋形,是一種近似橢圓形的形像,其外貌就像是拉長了的圓形,但又沒有雞蛋那種一邊較尖但另一邊較圓的外貌。

「鵝蛋形」這個描述其實在三維立體方面的描述比較多,用以描述一些蛋殼形構造的縱切面形狀。由於其曲率跟一般橢圓形或長圓形的曲率有所不同,才會有這樣的區分。

卵形线,又称蛋形线,是鸟类和爬行动物的卵的纵截面形状.

卵形线描述性定义  卵形线是类似于椭圆,但是一头大,一头小,有一条对称轴且光滑封闭的平面曲线.卵形线的对称轴与大、小头的两个交点称为卵形线的大端点和小端点,记为Q,P.卵形线上到其对称轴距离最大的两点称为卵形线的对称端点,记为S,T.线段QP,ST,分别称为卵形线的直径和对称直径.卵形线的直径与对称直径的交点称为卵形线的卵心,记为O,线段OP,OQ,OS(或OT)分别称为卵形线的长半径、短半径、对称半径,其长度分别记为a,b,c.长半径、短半径、对称半径称为卵形线的三个特征参数.

已知卵形线的长、短、对称半径a,b,c这三个特征参数,在平面直角坐标系中,以卵形线的对称轴作为x轴,x轴正向与卵形线小头方向一致,卵形线的卵心作为坐标系原点.以正数a,b,c(a>b)为长、短、对称半径的卵形线在直角坐标系中示意图如图所示.

三次卵形线方程:[1]

参考

[编辑]
  1. ^ 李湘江. 卵圆方程研究. 图学学报. 2016, 37 (4): 467-470. 
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鵝蛋形
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