八元数实在是个古怪的东西，它们是仅有的可能做除法的四种数制中之一，因此容许运行满量程的代数运算。
They are one of only four number systems in which division is possible, and so allow the full range of algebraic operations to be performed.
介绍四元数的概念及运算性质，提出基于单位四元数的空间后方交会解算方法并给出计算公式。
The concept of quaternion and its operation rules were introduced first, then formulae for space resection based on unit quaternion were deduced.
本文建立了八元向量代数，它既是一种方阵代数，又作为一个更加完备的运算系统而包含了复数、矢量和四元数。
The eight-vecter algebra is found in the paper, as a kind of square matrix algebra and as more complete operation system containing the complex number vecter algebra and quaternion numbers.
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