On the General Principles of Analysis Being a Series of Original Investigatio
On the General Principles of Analysis Being a Series of Original Investigatio
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nental writers on equations ; and even English authors, when they do mention it, content themselves with a mere passing notice of it, with the single exception of the venerable Mr. Lockhart, a gentleman who, at the age of eighty-seven, is still prosecuting his scientific researches with the same ardour that animated his early years. * The following example is from the "Appendix" to that gentle- man's work, on the ' Resolution of Equations by means of Inferior and Superior Limits, ' published in... 1843.
(9. ) Lockhart. 'Appendix, ' &c, page 9.
x 4 * — 7'2* 3 + 13-44^ 2 — 1728* + '0576 = 0, x 2 — 3-fw ±V(— ' 48 * 2 + 1728* — -0576), x 2 — 3'6x + -24+V0- The first member of the proposed equation is, therefore, a complete square ; so that it has two pair of equal roots, one of each pair being furnished by the quadratic x 2 — 3-6x + -24=0.
The above equation has been introduced for the purpose of showing the decided advantage of this method, whenever the polynomial is a complete square ; it always makes known to us whether such is the case or not ; — a feature peculiar to the form of the conjugate factors more especially dwelt upon in the present essay.
What to read after On the General Principles of Analysis Being a Series of Original Investigatio?
You can find similar books in the "Read Also" column, or choose other free books by J R John Radford Young to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
nental writers on equations ; and even English authors, when they do mention it, content themselves with a mere passing notice of it, with the single exception of the venerable Mr. Lockhart, a gentleman who, at the age of eighty-seven, is still prosecuting his scientific researches with the same ardour that animated his early years. * The following example is from the "Appendix" to that gentle- man's work, on the ' Resolution of Equations by means of Inferior and Superior Limits, ' published in... 1843.
(9. ) Lockhart. 'Appendix, ' &c, page 9.
x 4 * — 7'2* 3 + 13-44^ 2 — 1728* + '0576 = 0, x 2 — 3-fw ±V(— ' 48 * 2 + 1728* — -0576), x 2 — 3'6x + -24+V0- The first member of the proposed equation is, therefore, a complete square ; so that it has two pair of equal roots, one of each pair being furnished by the quadratic x 2 — 3-6x + -24=0.
The above equation has been introduced for the purpose of showing the decided advantage of this method, whenever the polynomial is a complete square ; it always makes known to us whether such is the case or not ; — a feature peculiar to the form of the conjugate factors more especially dwelt upon in the present essay.
What to read after On the General Principles of Analysis Being a Series of Original Investigatio?
You can find similar books in the "Read Also" column, or choose other free books by J R John Radford Young to read onlineMoreLess
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