The book Trigonometry And Double Algebra was written by author De Morgan Augustus Here you can read free online of Trigonometry And Double Algebra book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Trigonometry And Double Algebra a good or bad book?
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But for all other directions except ( , 0) and ( , ir), lines of the same direction have not products in that or the opposite direction. Let AA, AAA, AAAA, &c., without any reference to ex- ponents, be called the second, third, fourth, &c. powers of A. And let V-^> ^-4, V^, &c., be lines of which the meaning is defined by ^A x ^JA, ■\l A x ^ A x \l A, &c., being each equal to A, and they may be called the second, third, fourth, &c. roots of A, Then we have immediately AA = (oa, 2a), AAA = (aoo,... 3a), AAAA = {aaxm, 4a), &c.. As explained in pages 43, 44, choice of values immediately com- mences, as soon as we have occasion to take a subdivision of an angle. Thus, since a + ^mir may take the place of a, we may infer, as in the^ pages cited, that ^A has two directions whose angles differ by tt, half a revolution ; that \lA has three directions, indicated by angles differing by a third of a revo- lution; and so on. In fact that 7^ is any one of (%, - + m —V \ n nj Digitized by VjOOQIC TJBLE ALGEB^ 121 where m is any integer.
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