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Libros Libros 1 a 9 de 9 sobre ... x = r sin 6 cos , y — r sin 6 sin , z = r cos 6.
" ... x = r sin 6 cos , y — r sin 6 sin , z = r cos 6. "
A Treatise on Infinitesimal Calculus: The dynamics of material systems. 1862 - Página 536
1862
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An Elementary Treatise on Spherical Harmonics and Subjects Connected with Them

Norman Macleod Ferrers - 1877 - 160 páginas
...obtained by dividing a Solid Spherical Harmonic by (a? +y2+z*}2. Such an expression, as we see by writing x = r sin 6 cos <f>, y = r sin 6 sin <f>, z = rcos6, will be of the i* degree in sin 6 cos <f>, sin 6 sin <£, cos 6 ; and will satisfy the differential...
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The Theory and Practice of Absolute Measurements in ..., Volumen 2,Número 2

Andrew Gray - 1893
...transformed by the substitution of the variables r, 6, <j>, connected with x,gt z by the equations x — r sin 6 cos <f> \ y = r sin 6 sin <f> > (3) z = r cos 6 I Of 'these 6 may be regarded as the co-latitude and <f> the longitude, or 6 and...
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An Elementary Treatise on Theoretical Mechanics, Parte 3

Alexander Ziwet - 1894
...and the axis of z, <f> that between the projection OP of r on the jy- plane and the axis of x ; then x = r sin 6 cos <f>, y = r sin 6 sin <f>, z= r cos O ; and x=rcos6cos<f>.6 — rsm6sm<f>-<j>, j'= rcos6sin<f>.6 + r sin 6 cos <£•<£, z = — r sin...
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Analytic Geometry and Principles of Algebra

Alexander Ziwet, Louis Allen Hopkins - 1913 - 369 páginas
...plane are OR = r cos6, OQ = rsin6. Projecting OQ on the axes Ox, Oy, we _/ --- y --- ^& find Fio. 132 x = r sin 6 cos <f,, y = r sin 6 sin <f,, z=.r cos 6. Also r = Va? + w2 -f z2, cos 6 = — - . tan A = yEXERCISES 1. Find the area of the triangle...
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Functions of a Complex Variable

James Pierpont - 1914 - 583 páginas
...of 3). 4. As an exercise in the calculus the student may transform 3) to polar coordinates, x=r cos 6 cos <f> , y = r sin 6 sin <f> , z = r cos 6. (6 It is convenient to call в the altitude and ф the azimuth of the point x, y, z. After a lengthy...
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Functions of a Complex Variable

James Pierpont - 1914 - 583 páginas
...following table : n = 0 a constant. x, y, z. n = l 4. Let us pass to polar coordinates, x = r sin 0 cos <f> , y = r sin 6 sin <f> , z = r cos 6. (8 Then the harmonic polynomial U of order n becomes where Yn is a homogeneous polynomial of degree...
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A Course in Mathematical Analysis, Volumen 2,Número 1

Edouard Goursat - 1916
...if we set X = <a, .= C: In the case of a sphere of radius R we can write the coordinates in the form x = R sin 6 cos <f,, y = R sin 6 sin <f,, z = R cos 6, and we shall set We obtain thus what is called Mercator's projection, in which the meridians are represented...
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A Treatise on the Analytical Dynamics of Particles and Rigid Bodies: With an ...

E. T. Whittaker - 1970 - 456 páginas
...the coordinates (X, Y, Z) of the point referred to fixed rectangular axes OXYZ by the equations IX = r sin 6 cos <f>, -, Y = r sin 6 sin <f>, (Z =rcos&; and let it be required to determine the components of velocity and acceleration of the point...
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Modern Nuclear Chemistry

Walter D. Loveland, David J. Morrissey, Glenn T. Seaborg - 2005 - 688 páginas
...transformations from a Cartesian coordinate system (x, y, z) to spherical coordinates (r, 6, 9) are (Fig. E.6) x = r sin 6 cos (f) y = r sin 6 sin (f) z = rcos6 The time-independent Schrodinger equation becomes 2m r 1 n / CT\ 1 \ 1 n / n 1 ' 1 3 / 9 3i|»\...
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