algebra vs geometry

algebra

noun
  • A system or process, that is like algebra by substituting one thing for another, or in using signs, symbols, etc., to represent concepts or ideas. 

  • An algebraic structure consisting of a module over a commutative ring (or a vector space over a field) along with an additional binary operation that is bilinear over module (or vector) addition and scalar multiplication. 

  • A collection of subsets of a given set, such that this collection contains the empty set, and the collection is closed under unions and complements (and thereby also under intersections and differences). 

  • A universal algebra. 

  • One of several other types of mathematical structure. 

  • The study of algebraic structures. 

  • The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture. 

  • A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols. 

geometry

noun
  • A mathematical system that deals with spatial relationships and that is built on a particular set of axioms; a subbranch of geometry which deals with such a system or systems. 

  • A mathematical object comprising representations of a space and of its spatial relationships. 

  • The observed or specified spatial attributes of an object, etc. 

  • The branch of mathematics dealing with spatial relationships. 

How often have the words algebra and geometry occurred in a corpus of books? (source: Google Ngram Viewer )