What are the differences between geometry and algebra?

What is the difference? ... The main focuses in algebra are arithmetic, equations and understanding relationships between variables or ratios. ... Geometry approaches the basic dexterity and knowledge of finding measurements, as well as communicating correlations of geometric terminology. read more

I personally agree with David Hestenes that this dominance of algebra over geometry is wrong. Hestenes puts it more politely and poetically, “ Geometry without algebra is dumb. Algebra without geometry is blind.” This is the mathematical synergy of algebra and geometry. read more

This combines geometry and trigonometry, but is expressed as an algebraic equation, and changing it so you can determine the hypotenuse from A and the Opposite is an algebraic move. (H = SinA/Op). You cannot treat algebra as some sort of independent academic topic, so you cannot make comparisons as the question suggests. read more

(2) it uses signs, symbols, and proofs and includes arithmetic, algebra, calculus, geometry, and trigonometry. The most obvious difference is that arithmetic is all about numbers and mathematics is all about theory. read more