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" Equation of lines of the second order," and attributes it to Monge, adding the words, " But here our powers of geometrical interpretation fail, and results such as this can scarcely be otherwise useful than as a registry of integrable forms. "
A Treatise on Differential Equations - الصفحة 20
بواسطة George Boole - 1859 - عدد الصفحات: 494
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Nature, المجلد 33

Sir Norman Lockyer - 1886 - عدد الصفحات: 666
...Differential Equation of lines of the second order," and attributes it to Monge, adding the words, " But here our powers of geometrical interpretation...otherwise useful than as a registry of integrable forms." In this vaticination, which was quite uni :xlled for, the eminent author, now unfortunately deceased,...

The Quarterly Journal of Pure and Applied Mathematics, المجلد 14

1877 - عدد الصفحات: 440
...line and circle are given ; but, after the differential equation of a conic, the remark is made : " Here our powers of geometrical interpretation fail,...otherwise useful "than as a registry of integrable forms." In the present paper it is sought to establish geometrical interpretations of differential equations...

Nature, المجلد 33

Sir Norman Lockyer - 1886 - عدد الصفحات: 884
...Differential Equation of lines of the second order," and attributes it to Monge, adding the words, " But here our powers of geometrical interpretation...otherwise useful than as a registry of integrable forms." In this vaticination, which was quite uncalled for, the eminent author, now unfortunately deceased,...

American Journal of Mathematics, المجلد 9

1887 - عدد الصفحات: 464
...mentions this form of equation as due to Monge, but without any reference, and adds the remark : " But here our powers of geometrical interpretation...otherwise useful than as a registry of integrable forms." The theory of Reciprocante, however, furnishes both a simple interpretation of the Mongian equation...

Nature, المجلد 38

Sir Norman Lockyer - 1888 - عدد الصفحات: 680
...often considered by mathematicians. In the first place, we have the late Dr. Boole's statement that "here our powers of geometrical interpretation fail,...otherwise useful than as a registry of integrable forms " ("Diff. Equ.," pp. 19-20). We have next two attempts to interpret the equation geometrically. The...

Nature, المجلد 38

Sir Norman Lockyer - 1888 - عدد الصفحات: 790
...often considered by mathematicians. In the first place, we have the late Dr. Boole's statement that " here our powers of geometrical interpretation fail,...otherwise useful than as a registry of integrable forms " ("Diff. Equ.," pp. 19-20). We have next two attempts to interpret the equation geometrically. The...

An Elementary Treatise on the Differential Calculus: With Applications and ...

Joseph Edwards - 1892 - عدد الصفحات: 550
...of all conies was discovered by Monge. Dr. Boole, in his Differential Equations, p. 20, remarked : "But here our powers of geometrical interpretation...otherwise useful than as a registry of integrable forms." A remarkable interpretation which calls for notice has however been recently offered by Mr. A. Mukhopadhyay,...

An Elementary Treatise on the Differential Calculus: With Applications and ...

Joseph Edwards - 1896 - عدد الصفحات: 560
...Differential Equativm, p. 20, remarked : " But here our powers of geometrical interpretation fail, aud results such as this can scarcely be otherwise useful than as a registry of integrable forms." A remarkable interpretation which calls for notice has, however, been recently offered by Mr. A. Mukhopadhyay,...

The Collected Mathematical Papers of James Joseph Sylvester ...

James Joseph Sylvester - 1912 - عدد الصفحات: 812
...Differential Equation of lines of the second order," and attributes it to Monge, adding the words, " But here our powers of geometrical interpretation...otherwise useful than as a registry of integrable forms." In this vaticination, which was quite uncalled for, the eminent author, now unfortunately deceased,...

Collected Mathematical Papers, المجلد 1

Henry John Stephen Smith, James Whitbread Lee Glaisher - 1894 - عدد الصفحات: 846
...mentions this form of equation as due to Monge, but without any reference, and adds the remark : " But here our powers of geometrical interpretation...otherwise useful than as a registry of integrable forms." The theory of Reciprocants, however, furnishes both a simple interpretation of the Mongian equation...
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