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共 52 题- ENCYCLOPAEDIA BRITANNICA
- ELEVENTH EDITION
- VOLUME IX, SLICE VII
- Equation to Ethics
- ARTICLES IN THIS SLICE:
- I. _Simultaneous Equations._
- Multiply by z, x and y, and divide the sum by xyz; then
- From (1) and (2) by cross multiplication we obtain
- Substituting for x, y and z in x(x - a) = yz we obtain
- II. _Indeterminate Equations._
- III. _Cubic Equations_.
- IV. _Biquadratic Equations_.
- We square the assumed formula
- Let this equation be also squared, and we have
- Thus we have the biquadratic equation
- See also below, _Theory of Equations_, S 17 et seq. (X.)
- V. _Theory of Equations_.
- 11. The equation is
- 12. Starting from the equation
- 17. A cubic equation can be solved by radicals.
- 1/2{L^3 + M^3 + [root](L^3 - M^3)^2}
- FOOTNOTES:
- Though from this time forward Basel beca
- During the greater part of 1567 Eric was
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- ERYTHRAE [mod. _Litri_], one of the Ioni
- CHURCH
- PALACE
- SEMINARY
- CONVENT
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- II. HISTORICAL SKETCH 810
- D. Ethics since 1879 840
- III. BIBLIOGRAPHY 845
- I. DEFINITION AND SUBJECT-MATTER OF ETHICS
- II. HISTORICAL SKETCH
- Christian and Jewish "law of God."
- Ecclesiastical morality in the "Dark Age
- Whewell.
- FOOTNOTES: