 | University of Sydney - 1901 - 644 páginas
...to have one side parallel to the base, is one-fourth that of the given triangle. 10. Through a fixed point on the circumference of a circle chords. are drawn, and on these chords as diameters circles are described ; find the envelope of these circles. .'. '. 11. Find the... | |
 | Daniel Alexander Murray - 1903 - 512 páginas
...the angle moves along a fixed straight line : find the envelope of the other line. 11. From a fixed point on the circumference of a circle, chords are...drawn, and on these as diameters circles are described. Show that they envelop a eardioid. 158. To find the envelope of a family of curves having two parameters.... | |
 | Daniel Alexander Murray - 1903 - 466 páginas
...Find the equation of the envelope of the line x sin « + y cos a = a sin « cos «. 19. From a fixed point on the circumference of a circle chords are drawn. and on these as diameters circles are drawn. Show that the envelope of the series of circles is a cardioid. 20. If a cannon is fired at an... | |
 | Daniel Alexander Murray - 1908 - 522 páginas
...Find the equation of the envelope of the line x sin « + y cos « = a sin a cos «. 19. From a fixed point on the circumference of a circle chords are drawn, and on these as diameters circles are drawn. Show that the envelope of the series of circles is a cardioid. projection, is y = x tan 9 —... | |
 | Lorrain Sherman Hulburt - 1912 - 520 páginas
...centers on the astroid zï + y$ = a$. Find the polar equation of their envelope. 18. Through a fixed point on the circumference of a circle chords are...drawn, and on these as diameters circles are described. Show that their envelope is a cardioid. 19. Find the envelope of the normals of a parabola. (See Art.... | |
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From a fixed point on the circumference of a circle chords are drawn, and on these as diameters circles are drawn. 