Projective Geometry from a historical perspective Ambjrn Naeve
Projective Geometry from a historical perspective Ambjörn Naeve KMR (Knowledge Management Research group) CID (Centrum för användarorienterad IT Design) NADA (Institutionen för Numerisk Analys och Datalogi) KTH (Kungliga Tekniska Högskolan) e-mail: amb@nada. kth. se webb: http: //kmr. nada. kth. se
Alberti’s construction
Complete quadrangle - 1
Complete quadrangle - 2
Complete quadrilateral - 1
Complete quadrilateral - 2
Elliptisk involution
Hyperbolisk involution
Projectified cartesian coord. syst. in 2 dim
Projectified cartesian coords in 2 dim
Unit-point - unit-line in P 2
Involution-1. 1.
Involution-1. 2.
Involution-1. 3.
Involution-2. 1.
Involution-2. 2.
Involution-3. 1.
Moebius-angle-cross-ratio-1
Moebius-angle-cross-ratio-2
Moebius-net
Pascal’s theorem from Steiner’s theorem-1
Pascal’s theorem from Steiner’s theorem-2
Projective coordiates - 1
Projective coordiates - 2
Projective coordiates - 3
Projective coordiates - 4
Seydewitz sats - 1
Seydewitz sats - 2
Seydewitz sats - 3&4
Självpolär Diagonaltriangel - 1
Självpolär Diagonaltriangel - 2
Steiner’s sats - 1
Steiner’s sats - 2
Steiner’s sats - 3&4
Steiner’s sats -5
Polaritet inducerar involution - 1
Polaritet inducerar involution - 2
Polaritet inducerar involution - 3
- Slides: 47