An Elementary Course in Synthetic Projective Geometry
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In our eReader you can find the full English version of the book. Read An Elementary Course in Synthetic Projective Geometry Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book An Elementary Course in Synthetic Projective Geometry
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Consider more generally the case of two pencils perspective to each other with axis of perspectivity u' (Fig. 9). Cut across them by a line u. We get thus two projective point-rows, superposed on the same line u, and a moment's reflection serves to show that the point N of intersection u and u' corresponds to itself in the two point-rows. Also, the point if, where u 29 30 PEOJECTIVE GEOMETRY Fig. 9 intersects the line joining the centers of the two pen- cils, is seen to correspond to itself. It... is thus possible for two projective point- rows, superposed upon the same line, to have two self -corresponding points.
Clearly M and iV may fall together if the line joining the centers of the pencils happens to pass through the point of in- tersection of the lines u and u'.
48. We may also give an illustration of a case where two superposed projective point-rows have no self-corresponding points at all. Thus we may take two lines revolving about a fixed point S and always making the same angle a with each other (Fig.
What to read after An Elementary Course in Synthetic Projective Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Lehmer, Derrick Norman, 1868-1938 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Consider more generally the case of two pencils perspective to each other with axis of perspectivity u' (Fig. 9). Cut across them by a line u. We get thus two projective point-rows, superposed on the same line u, and a moment's reflection serves to show that the point N of intersection u and u' corresponds to itself in the two point-rows. Also, the point if, where u 29 30 PEOJECTIVE GEOMETRY Fig. 9 intersects the line joining the centers of the two pen- cils, is seen to correspond to itself. It... is thus possible for two projective point- rows, superposed upon the same line, to have two self -corresponding points.
Clearly M and iV may fall together if the line joining the centers of the pencils happens to pass through the point of in- tersection of the lines u and u'.
48. We may also give an illustration of a case where two superposed projective point-rows have no self-corresponding points at all. Thus we may take two lines revolving about a fixed point S and always making the same angle a with each other (Fig.
What to read after An Elementary Course in Synthetic Projective Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Lehmer, Derrick Norman, 1868-1938 to read onlineMoreLess
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