this implies the use of similar triangles in the way that the Egyptians had used them in the construction of pyramids
Achimedes (1920)
“The classic instrument to measure drawn angles and to draw angles of a given measure is the protractor — essentially half a circular ring, subdivided by ray segments into 180 degrees. For reasons I was unable to find out, this instrument has recently been superseded by an isosceles right triangle — called geo-triangle, solid, transparant, made of plastic — with an angular division radiating from the midpoint of the hypotenuse to the other sides. Well, inside the triangle half a circle with the midpoint of the hypotenuse as its centre is indicated, and from the position of the degree numbers it becomes clear that it is the semicircle that really matters. One is inclined to say "an outrageously misleading instrument"…”
Source: Mathematics as an Educational Task (1973), p. 363
Help us to complete the source, original and additional information
Hans Freudenthal 27
Dutch mathematician 1905–1990Related quotes
Geometry as a Branch of Physics (1949)
“Translates to: for a triangle, the result of a perpendicular with the half-side is the area.”
Source: Arijit Roy “The Enigma of Creation and Destruction”, p. 27 from the Ganitapada, quoted in "The Enigma of Creation and Destruction".
III. The Movement of the Triangle
1910 - 1915, Concerning the Spiritual in Art, 1911
Geometry as a Branch of Physics (1949)
Fraser's Magazine, New Series, vol. 5 (1872) p. 160