Usually means: Study of geometry without coordinates.
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We found 5 dictionaries that define the word synthetic geometry:

General (5 matching dictionaries)
  1. synthetic geometry: Merriam-Webster
  2. synthetic geometry: Infoplease Dictionary
  3. synthetic geometry: Dictionary.com
  4. Synthetic geometry: Wikipedia, the Free Encyclopedia
  5. synthetic geometry: Wiktionary

Definitions from Wiktionary (synthetic geometry)

noun:  (mathematics) Geometry without the use of coordinates, relying instead on proofs derived from axioms.

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