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‘Choice of the proper projective coordinate system permits the reduction of these power series to simple canonical forms.’
‘In it he introduced homogeneous coordinates and also discussed geometric transformations, in particular projective transformations.’
‘In these Brianchon proved several further important results in the projective study of conics.’
‘Further collaboration with Lie followed and they worked on an investigation of W-curves, curves invariant under a group of projective transformations.’
‘Later on he looked at such semigroups in more abstract settings and produced some further beautiful results characterising projective mappings and certain geometric objects.’
1.1(of a property of a figure) unchanged by projection.
‘As we have indicated above, Guccia's work was on geometry, in particular Cremona transformations, classification of curves and projective properties of curves.’
‘In the second he considers a certain class of surfaces and expresses characteristic properties of these surfaces in terms of standard projective elements.’
2Psychology Relating to the unconscious transfer of one's desires or emotions to another person.
‘the projective contents of wish fantasies’
‘He described the blurring of boundaries into a ‘marital joint personality,’ which occurs through projective identification.’
‘People in the environment may invalidate the client inadvertently, partly as a result of projective identification by the client with borderline personality disorder of negative parts of the self on to significant others.’
‘Repressions of the dark aspects of our histories involve projective burdens for our children.’
2.1Relating to the unconscious expression or introduction of one's impressions or feelings.
‘This provides a way of understanding how the concept of the therapist's projective identification works in practice, that is, how the therapist can be in touch with emotional states in the patient of which the patient is hardly aware.’
‘You can do this by doing a projective style of interviewing that goes deeper than asking applicants about their backgrounds and what they would do in various hypothetical situations.’