Matching Pairs Geometry TriviaOnline version Introduction to Geometry Activity by Christine Jenkins 1 where the earliest use of Geometry was found 2 deals with the relationships between geometric figures and the images (or mappings) that result from projecting them onto another surface (examples: shadows cast by objects and movies displayed on screens) 3 Their discoveries include curves, area of surfaces, and volumes of solids. They went from a trial and error thought process to logical deductions. 4 He brought the geometric knowledge of the Egyptians to the Greeks and was the first to attempt to justify geometric statements using reason instead of intuition and experimentation. 5 A Greek mathematician who developed coordinate geometry and derived the formula for the area of a circle 6 the most commonly known geometry (what is taught in schools, particularly in lower grades) 7 They demonstrated a practical knowledge of geometry through surveying and construction projects. (The Nile river overflowed very year, and the river banks would have to be re-surveyed). 8 study of geometric figures and constructions using a coordinate system 9 branch of geometry that studies planes, lines and surfaces in a 3 dimensional space using the principles of calculus 10 He discovered the connection between algebra and geometry. 11 He is responsible for the most recent development in geometry (fractal geometry). 12 An example of this would be a geometry based on the graphics displayed on a computer screen, where the pixels are considered to be the points. 13 an extension of Euclid's principles of geometry to 3 dimensional objects (also called hyperbolic or elliptic geometry) 14 author of Elements; considered the father of Geometry Descartes Thales Euclid Euclidean Geometry Projective Geometry Analytic Geometry differential geometry Archimedes Babylonia Greeks Non-Euclidean Geometry Mandelbrot Finite Geometry Egyptians