Incremental Geometry..
... A. Plato’s tools (compass and straightedge) are honored B. Handout of “ingredients” Construction Set A & Set B C. Construction helps develop triangle congruence postulates D. Problem of angle trisection is understood E. Compass for overhead projector ...
... A. Plato’s tools (compass and straightedge) are honored B. Handout of “ingredients” Construction Set A & Set B C. Construction helps develop triangle congruence postulates D. Problem of angle trisection is understood E. Compass for overhead projector ...
Combinatorial Geometry (CS 518)
... currently open research problems. There are two primary texts, which will be supplemented with recent research papers which will be distributed in class. The students will be expected to know elementary probability theory, as well as have taken a course in discrete mathematics. The grading consists ...
... currently open research problems. There are two primary texts, which will be supplemented with recent research papers which will be distributed in class. The students will be expected to know elementary probability theory, as well as have taken a course in discrete mathematics. The grading consists ...
Hyperfunction Geometry
... An old (1980) program of mine is to develop hyperfunction geometry. It was motivated by work of Hawking on Euclidean Quantum Gravity and of Penrose on Twistor Quantization. Hawking considers complex 4-manifolds. To begin with, they admit Lorentzian sections. But he goes on to also need ones that don ...
... An old (1980) program of mine is to develop hyperfunction geometry. It was motivated by work of Hawking on Euclidean Quantum Gravity and of Penrose on Twistor Quantization. Hawking considers complex 4-manifolds. To begin with, they admit Lorentzian sections. But he goes on to also need ones that don ...
PDF
... A non-Euclidean geometry is a geometry in which at least one of the axioms from Euclidean geometry fails. Within this entry, only geometries that are considered to be two-dimensional will be considered. The most common non-Euclidean geometries are those in which the parallel postulate fails; i.e., t ...
... A non-Euclidean geometry is a geometry in which at least one of the axioms from Euclidean geometry fails. Within this entry, only geometries that are considered to be two-dimensional will be considered. The most common non-Euclidean geometries are those in which the parallel postulate fails; i.e., t ...
MATH 498E—Geometry for High School Teachers
... Text: College Geometry Using the Geometer's Sketchpad, 1st Edition, Reynolds and Fenton, Wiley Publishing, 2012 or College Geometry, 1st Edition, with Geometer’s Sketchpad v5 Set by Barbara Reynolds, Nov. 2011. Dates: June 26-July 26, Tuesdays and Thursdays from 9 am to 1:30 pm. Objective. The objec ...
... Text: College Geometry Using the Geometer's Sketchpad, 1st Edition, Reynolds and Fenton, Wiley Publishing, 2012 or College Geometry, 1st Edition, with Geometer’s Sketchpad v5 Set by Barbara Reynolds, Nov. 2011. Dates: June 26-July 26, Tuesdays and Thursdays from 9 am to 1:30 pm. Objective. The objec ...
History of geometry
Geometry (from the Ancient Greek: γεωμετρία; geo- ""earth"", -metron ""measurement"") arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers (arithmetic).Classic geometry was focused in compass and straightedge constructions. Geometry was revolutionized by Euclid, who introduced mathematical rigor and the axiomatic method still in use today. His book, The Elements is widely considered the most influential textbook of all time, and was known to all educated people in the West until the middle of the 20th century.In modern times, geometric concepts have been generalized to a high level of abstraction and complexity, and have been subjected to the methods of calculus and abstract algebra, so that many modern branches of the field are barely recognizable as the descendants of early geometry. (See Areas of mathematics and Algebraic geometry.)