In 1938, " Art News " declared that " Louis Schanker's delightful " Street Scene From My Window " calls forth admiration for its delicacy of color and kaleidoscopic forms in plane geometry ."
42.
Near the beginning of the first book of the " Elements ", Euclid gives five postulates ( axioms ) for plane geometry, stated in terms of constructions ( as translated by Thomas Heath ):
43.
National security gets to trump the Constitution these days, even if the links between suspect and the enemy are so obtusely tangential that you need an advanced degree in plane geometry to figure them out.
44.
For example, the theorem from the plane geometry of triangles about the concurrence of the lines joining each vertex to the midpoint of the opposite side ( at the " centroid " or " Menelaus.
45.
In 1967 Guggenheimer published " Plane Geometry and its Groups " ( Holden Day ), and moved to New York City to teach at " Polytechnic University ", now called Polytechnic Institute of New York University.
46.
Here two cases of non-Euclidean geometry are considered spherical geometry and hyperbolic plane geometry; in each case, as in the Euclidean case for non-right triangles, the result replacing the Pythagorean theorem follows from the appropriate law of cosines.
47.
:: : " Note that : the group Advanced Plane Geometry, is page to discussion of the journal : Forum geometricorum, please click http : / / forumgeom . fau . edu / FG2014volume14 / FG2014index . html ."
48.
:: : : : : : : : As explained above, mathematicians define each shape precisely in plane geometry, but allow context to determine whether the definition applies to the boundary only, or to the area bounded by the shape.
49.
But now this article has engough reliable sources : It has two papers in Forum Goemetricorum, one entry in Kimberling center, and two reviews in Zentralblatt MATH, one topic in Cut the Knot and some communiation of geometers in : Advanced Plane Geometry
50.
The trainees who were advanced in age, even the captains with white beard had reached to a capacity within three months that they were able to measure altitude, practice the four rules of the plane geometry over the land, and plot a route.
