 About 2,230 results  books.google.com Translated into many languages, this book was in continuous use as the standard universitylevel text for a quartercentury, until it was revised and enlarged by the author in 1952. 

 books.google.com Florentin Smarandache University of New Mexico, Gallup, NM D1111, USA
Abstract In this article we prove the theorems of the orthopole and we obtain,
through duality, its dual, and then some interesting specific examples of the dual
of the ... 

 books.google.com (i) To begin, let's investigate what happens to the orthopole when the line m is
moved parallel to itself. Let P\ be the orthopole of m\ relative to AABC (Figure 162
; any two of the defining perpendiculars LX, MY , and NZ suffice to determine an ... 

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 books.google.com If q = b \b'c'.b'c', r = c\b'c'.b'c', then [q Wb' . r ifc'ar\ is the orthopole of the line ab'c'
for a' be. Since [qra] = o, we have an equation similar to (8) : [a Wa' . q *V . . a Wb'
. r \b'c' ..qWb'.r U'a'] = o. But [q±b'c'] = [bWc'l thence [a \c'a' .q \b'c'] is the ... 

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 books.google.com The common point of (JJ, 7g)orthoprojective lines discussed in the Lemma we
will call the projective orthopole. Let a conic section containing the points Ii, 1%
be given. The above determined transformations & and dp'1 map the conic on the
... 

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