How well so ever I fancied my lectures against pride had conquered the vanity of my daughters; yet I still found them secretly attached to all their former finery: they still loved laces, ribbands, bugles and catgut […]
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nonzero Hopf number
On the other hand, the sides of the orthopedal Δ are equal to a cos A, etc. Hence, calling R, P, S, J circumradius, inradius, perimeter and area of ABC, an original Δ ; and r, p. s. j. those of DEF its orthopedal Δ, we have this neat reciprocation : Δ ABC = PS = Rs;
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