In synthetic geometry, two parallel diameters are drawn, one for each circle; these make the same angle " ? " with the line of centers.
22.
In the geometries where the concept of a line is a primitive notion, as may be the case in some synthetic geometries, other methods of determining collinearity are needed.
23.
In 1937 Harris began taking lessons in projective synthetic geometry, based upon the ideas of Goethe as reflected in the teachings of Steiner, from Olive Whicher and George Adams.
24.
The heyday of synthetic geometry can be considered to have been the 19th century, when analytic methods based on models ) than is found by starting with a vector space of dimension three.
25.
"' Karl Georg Christian von Staudt "'( 24 January 1798 1 June 1867 ) was a German mathematician who used synthetic geometry to provide a foundation for arithmetic.
26.
Thus, in synthetic geometry, the homographies and the collineations of the projective line that are considered are those obtained by restrictions to the line of collineations and homographies of spaces of higher dimension.
27.
Very early in his studies he became a disciple of Karl Georg Christian von Staudt, whose ideas of synthetic geometry he embraced and promoted among his fellow mathematicians for the rest of his life.
28.
During his tenure he promoted research in synthetic geometry, influencing a generation of Spanish mathematicians, including Miguel Vegas, Cecilio Jim�nez Rueda, Jos?�lvarez Ude, Antonio Torroja, and Julio Rey Pastor.
29.
In 1933 the comprehensive work " Space and the Light of the Creation Synthetic Geometry in the light of Spiritual Science " appeared, which was an overview of the spiritual scientific meaning of synthetic geometry.
30.
In 1933 the comprehensive work " Space and the Light of the Creation Synthetic Geometry in the light of Spiritual Science " appeared, which was an overview of the spiritual scientific meaning of synthetic geometry.
