Let x and y be orthogonal coordinates of a point M (u = ax + iby or ax + ɛ by) of a plane where as x′ and y′ are orthogonal coordinates of a point M′(V = ax′ + iby′ or ax′ + ɛ by′) inverse of M in the elliptic hyperbolic inversion $ubar v = k{text{ or }}(u - alpha )(bar v - alpha ) = k'$ (k and k′ positive) $bar v $ designating the conjugate of v while i and ɛ are Clifford numbers such that i 2 = −1 and ɛ2 = 1 (a and b are real). O is the origin of axises. Ox is the axis of inversions. We study particularly the product of two inversions.
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机译：设x和y为平面的点M（u = ax + iby或ax +ɛby）的正交坐标，其中x'和y'是点M'的正交坐标（V = ax'+ iby'或ax'+ɛby'）椭圆双曲型反演中的M的倒数$ ubar v = k {text {or}}（u-alpha）（bar v-alpha）= k'$（k and k'positive）$ bar v $指定v的共轭，而i和ɛ是Clifford数，使得i 2 = -1和ɛ2 = 1（a和b是实数）。 O是轴的原点。 Ox是反转轴。我们特别研究两个反演的乘积。
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