. The London, Edinburgh and Dublin philosophical magazine and journal of science. re 0=2-29,sr=l-94,y = 0-00. The lines NEP, NCP are normal to the ellipse and circlerespectively, while TEP and TCP are the tangents. Theequations to the lines NEP, NCP with reference to P as orimn are _a A2-c2- c V a2—b* Z= - \/ -5 77,# and - £ A8-ca aV a2-62 b*x respectively. The tangent of the angle which NCP makeswith the negative direction of axis of x is thus 423, and theangle is 22° 50. The angle which NCP makes with thesame direction has been found above to be 59° 20. Theangle N,PNC is thus 36° 30 and the
. The London, Edinburgh and Dublin philosophical magazine and journal of science. re 0=2-29,sr=l-94,y = 0-00. The lines NEP, NCP are normal to the ellipse and circlerespectively, while TEP and TCP are the tangents. Theequations to the lines NEP, NCP with reference to P as orimn are _a A2-c2- c V a2—b* Z= - \/ -5 77,# and - £ A8-ca aV a2-62 b*x respectively. The tangent of the angle which NCP makeswith the negative direction of axis of x is thus 423, and theangle is 22° 50. The angle which NCP makes with thesame direction has been found above to be 59° 20. Theangle N,PNC is thus 36° 30 and the angle TEPTcis 143° 30. Fig. 0 gives the ellipse and circle in principal section bythe ZOY plane. The radius of the circle is 4. The foci ofthe ellipse are indicated by crosses; the ellipse has half thelinear dimensions of the section of the ellipsoid of elasticityby the ZOY plane. Phil. Mag. S. 5. Vol. 44. No. 269. Oct. 1897. 2 A 326 Mr. J. H. Vincent on Models and Diagrams to The curve 2 is a section of the surface by a plane parallelto ZOY and at a distance 2 from Section by Plane a=2. Inner section a point, the origin. Outer. X. y- 0-00 2-98 0-50 2-93 1-00 2-77 1-50 2-47 2-00 1-90 2-16 1-50 2-27 1-00 2-27 0-50 2-24 o-oo Illustrate the Propagation of Light in Biaxals 327 The curves 1*53, 153 are the sections by a plane throughthe singular points, parallel to the ZOY plane. Section through Singular Points parallel to the XOY plane. Inner. Outer. z. y. z. y- 0-00 1-29 0-00 3-44 1-00 1-15 1-00 3-28 1-44 1-00 2-00 0-66 2-00 2-830-00 2-58 2-58 2-71 1-00 0-00 and 1-98 A section taken through the axis of z and at 45° to the Fis. 7.
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Keywords: ., bookcentury1800, bookdecade1840, bookidlondon, booksubjectscience
