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" ... paper on this Envelope (see the Educational Times for June) may be readily deduced from the two following properties of the hypocycloid of three cusps : (I.) The chord intercepted by the inscribed circle on any tangent to the curve is trisected externally... "
Proceedings of the Edinburgh Mathematical Society - Page 82
by Edinburgh Mathematical Society - 1905
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Mathematical Questions and Solutions, from the "Educational Times ..., Volume 4

W. J. C. Miller - Mathematics - 1866 - 146 pages
...circle on any tangent to the curve is trisected externally at its point of contact with the curve. (II.) The two arcs into which the inscribed circle is divided...contact with the corresponding branches of the curve. These may be proved as follows : — Let A, B, C (Fig. 1) be the positions of the three cusps on the...
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Mathematical Questions with Their Solutions: From the ..., Volumes 4-6

1866 - 390 pages
...circle on any tangent to the curve it trisected externally at its point of contact with the curve. (II.) The two arcs into which the inscribed circle is divided...trisected internally at their points of contact with tlie corresponding branches of the curve. These may be proved as follows : — Let A, B, C (Fig. 1)...
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Proceedings of the Edinburgh Mathematical Society, Volumes 21-23

Edinburgh Mathematical Society - Electronic journals - 1903 - 540 pages
...intercepted by the inscribed circle on ant/ tangent to the curve is trisected externally at its point of contact with the curve. (~2) The two arcs into which the inscribed circle is divided by any langent to the curre are trisected internally at their points of contad with the corresponding branches...
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