Imaginary Quantities: Their Geometrical InterpretationD. Van Nostrand, 1881 - 135 páginas |
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Imaginary Quantities; Their Geometrical Interpretation Jean Robert Argand Sin vista previa disponible - 2018 |
Imaginary Quantities; Their Geometrical Interpretation Jean Robert Argand Sin vista previa disponible - 2022 |
Términos y frases comunes
A. S. HARDY a~sin absolute length absolute lines absolute magnitude Algebra analogy analytic analytical geometry Annales apply Argand axis of reference BRIDGES Buée cation Cauchy chord PQ cloth construct corresponding definition demonstration denote directed lines directed radii Engineer equal equation Equipollences expression factors follows Francais GEOMETRICAL INTERPRETATION geometrical progression Geometry of Position Gergonne Hamilton Hence illustrations imaginary quantities inary indicate infinite number latter line KP logarithms magnitude and position mean proportional medial Messrs method multiplied negative quantities NOSTRAND'S notation obtain operation perpendicular plane positive prime line principles PROF proved quan Quaternions radius ratio rection regarded remark render the polynomial represent right line roots of unity second degree second member Servois simple substitute supposed theorem tion tities TREATISE tremity unit circle unity values vinculum whence zero Κν
Pasajes populares
Página 116 - ... exactly such as I have used them ever since. I pulled out, on the spot, a pocketbook, which still exists, and made an entry, on which, at the very moment, I felt that it might be worth my while to expend the labour of at least ten (or it might be fifteen) years to come. But then it is fair to say that this was because I felt a problem to have been at that moment solved, an intellectual want relieved, which had haunted me for at least fifteen years before.
Página 115 - ... k; exactly such as I have used them ever since. I pulled out on the spot a pocketbook, which still exists, and made an entry on which at...
Página 116 - I felt that it might be worth my while to expend the labour of at least ten (or it might be fifteen) years to come. But then it is fair to say that this was because I felt a problem to have been at that moment solved — an intellectual want relieved — which had haunted me for at least fifteen years before.
Página 116 - JJess than an hour elapsed before I had asked and obtained leave of the Council of the Royal Irish Academy, of which society I was at that time president, to read, at the next general meeting, a paper on Quaternions, which I accordingly did on Nov. 13th, 1843.
Página 115 - Tomorrow will be the fifteenth birthday of the Quaternions. They started into life or light, full-grown, on the 16th of October, 1843, as I was walking with Lady Hamilton to Dublin, and came up to Brougham Bridge.
Página 115 - Voila une question d'analise fort singuliere, que je soumets a vos lumieres." The six NON-REALS which Servois thus with remarkable sagacity foresaw, without being able to determine them, may now be identified with the then unknown symbols +/, +j, +k, -i, —j, —k, of the quaternion theory: at least, these latter symbols fulfil precisely the condition proposed by him, and furnish an answer to his "singular question".