Inside Out Library · Explore

An introduction to projective geometry and its applications; an analytic and synthetic treatment (1905)

Emch, Arnold, b. 1871 · New York, J. Wiley & sons; London, Chapman & Hall, limited · leaf 167

An illustration from An introduction to projective geometry and its applications; an analytic and synthetic treatment, 1905, leaf 167
and find the center 0]perspective S for which K and K! are corresponding. In Fig. 62 construct the pole X of s or AB, which we assumeas the axis of collineation. This is easily done by means ofthe points of intersection P and Q of CD and DE with 5 andtheir polars p and a in the quadrilaterals A BCD… … Fig. 62. must be on the line joining X with X. DX and DX meet onsy in a point R; hence XR cuts K in D. Joining DD andproducing gives on XX the required center 5. Having found S,it is an easy matter to construct further elements of K from thecorresponding elements of K!. THEORY OF CONICS. 155 A…

Geometry, Projective · Geometry, Analytic

Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.

More pictures from An introduction to projective geometry and its applications; an analytic and synthetic treatment

More like this