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The projective and kinematic geometry of closed polygons (1914)

Hebbert, Clarence Mark · leaf 30

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have been stated by E.Study, who proved them by means of the real pictures of imaginarypoints. The theorems stated by Study are unnecessarily restricted. By means of these theorems we can easily prove the correctnessof the following construction for the square inscribed in a givenquadrilateral.… … 10 Emch and those found in the works already referred to. Given a quadrilateral ABCD, Fig. 6. Draw AE making angle EAD = 45°, cutting DC at E. Draw DF making angle FDA = 45°, cutting AB at F. The line PQ, joining the free vertices of the squares APEG andFHDQ having AE and DF for diagonals, is the…

Geometry, Projective · Kinematic geometry · Polygons · Theses

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