Geometry Summer Mathematics Packet
... One goal of the Wootton cluster is to promote increased math performance at all grade levels. Completing the summer math booklet allows each school, student, and parent within the cluster to work together to achieve this goal. Students who complete the summer math booklet will be able to: Increase ...
... One goal of the Wootton cluster is to promote increased math performance at all grade levels. Completing the summer math booklet allows each school, student, and parent within the cluster to work together to achieve this goal. Students who complete the summer math booklet will be able to: Increase ...
Axioms and Theorems
... Theorem 6.1 The First Fundamental Theorem of Isometries If A, B, C are noncollinear points, and A′, B′, C′ are points such that A′B′ = AB and B′C′ = BC and C′A′ = CA, then there exists a unique isometry that maps A → A′ and B → B′ and C → C′. Furthermore, this isometry can be expressesed as a compos ...
... Theorem 6.1 The First Fundamental Theorem of Isometries If A, B, C are noncollinear points, and A′, B′, C′ are points such that A′B′ = AB and B′C′ = BC and C′A′ = CA, then there exists a unique isometry that maps A → A′ and B → B′ and C → C′. Furthermore, this isometry can be expressesed as a compos ...
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.)