Calendar: 1849-1850 Page 291
Please note: The digitised calendars in this site have had their contents extracted using OCR (optical character recognition) and as a result, there may be occasional errors in the text. We are working on correcting these errors, but this may take some time.
Page content
APPLIED SCIENCES 280 IV Department of tije &pplie& Sciences SIXIOR SCHOLARSHIP L-Btffctcnttal anK integral Catculutf US be he surface of solid of Revolution the length of the generating curve and the ordinate then If yx a2 be the equation to curve the evolute is defined tyi β β Show priori that the expansion of --- contains no odd 0wer of χ above the first Trace the curve y2 a2 a3x Find the area of the same curve between the values of and If sin expand in terms of and the sines of and its multiples If and χ be functions of the length of curve and It be the radius of curvature -j-r log -L Y- Draw tangent to an ellipse which shall cut the circle on its major axis at 45 And show that this is not possible for every degree of eccentricity Let straight line have its extremities always in the circumferences of two equal circles find the locus of the middle point of Τ
Further information
For further information about this page, please click here to contact us ›
