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synthetic geometry
noun
- elementary geometry, as distinct from analytic geometry.
Word History and Origins
Origin of synthetic geometry1
Example Sentences
Synthetic geometry, characterized by its fruitfulness and beauty, attracted most attention, and it so happened that its originally weak logical foundations became replaced by a more substantial set of axioms.
These were found in the anharmonic ratio, a device leading to the liberation of synthetic geometry from metrical relations, and in involution, which yielded rigorous definitions of imaginaries.
His special fields of research included synthetic geometry, vector analysis, alternating current, phenomena magnetics and hysteresis, dielectrics, transients and electrochemistry.
He is the author of the Cartesian system of algebraic or analytic geometry, which has been so powerful an engine of research, far easier to wield than the old synthetic geometry.
The debt which analytic geometry owes to synthetic geometry.
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