Graphic Algebra

Cover Graphic Algebra
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a;* -42x2 -64 a; + 105 = 0. 4. a;* - 37 a;^ _ 24 a; + 180 = 0.
* To compute r, use table of squares and square roots in Appendix III.
BIQUADRATIC EQUATIONS 63 5. x*-75ay'-70x + lU = 0. 8. ic* - 68 ;»= + 441 = 0.
6. a! b, -| ± Vd.
I.e. the roots of equation (1) are complex, but they may be found by solving (3) instead.
The circles C, C", and G", which represent respectively equa- tions (1), (2), and (3), are connected by simple geometric relations, which make it possible to construct the third c
...ircle (C") when the first one (0) is given.

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