 About 30,100 results  books.google.com Double Elements of a Projectivity on Any Form. — The problem of constructing
the double elements of a project! vity on any form can be reduced by projection or
section to the problem of constructing the double points of a projectivity on a ... 

 books.google.com 1 A projectivity <1' of a plane P on P' sets up a correspondence between the
points of a line E and those of its image E' which is called the mapping 0/ 5 on 5'
induced by <1». One and twodimensional projectivities are related by the
following ... 

 books.google.com theorem), independent of the projectivity axiom or the perspectivity theorem itself.
Hence, since the theorem of Pappus implies Desargues' theorem, it follows that
the theorem of Pappus implies that any projectivity between distinct lines can be
... 

 books.google.com This volume serves as an extension of high schoollevel studies of geometry and algebra, and proceeds to more advanced topics with an axiomatic approach. 

 books.google.com Show that in a collineation (non)singular conics correspond to (non)singular
conics. What happens in a correlation? 11. Projectivity on a conic. A collineation
which preserves a nonsingular conic C establishes a onetoone
correspondence of ... 

 books.google.com Reinhold Baer. Lemma 3: If 0 is a semilinear transformation of (F,A) upon (G,B),
then c_1N(S)o:N(S°) and ¢_'Q(S):=: Q(S°) for every subspace S of A. PRooF: The
following properties of the endomorphism T, of (F,A) are equivalent: /1 belongs ... 

 books.google.com In an image of the wall the windows are related by a conjugate translation H =
THpT~', where T is the projectivity which maps the plane of the wall to the image.
The image transformation H is also an elation. The vertex of this elation is the ... 

 books.google.com y are 8isomorphic and x is projective in some sense, then y is projective in the
same sense. But we also have the following result. Theorem 13. If the strings x
and y are oisomorphic and if x is monotonically projective (Lprojective, ... 

 books.google.com An important syntactic restriction in natural languages is the property of syntactic
projectivity: the string x, endowed with a subordination relation, is projective if for
any 1 ≤ i,j ≤ n,i = j, such that (i,j) ∈ s (ai is subordinated to aj) and for any k ... 

 books.google.com Let N be a normal subgroup of the finite group G such that G/N is soluble of
derived length n e N. If <p is a projectivity from G to a group G, show that G13"' <
N*. 6. If G is a finite soluble group of dejived length d(G) = n and q> is a
projectivity ... 

 