# Category:Analytic Geometry

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This category contains results about **Analytic Geometry**.

Definitions specific to this category can be found in Definitions/Analytic Geometry.

**Analytic geometry** is the study of geometry by algebraic manipulation of systems of ordered pairs of variables representing points in Cartesian space.

## Subcategories

This category has the following 50 subcategories, out of 50 total.

### A

- Acnodes (2 P)
- Arbitrary Constants (2 P)

### C

- Cross-Ratios (empty)
- Curvature (8 P)

### D

- Derivative of Arc Length (3 P)

### E

- Elliptic Curves (1 P)

### G

### H

- Harmonic Ranges (9 P)
- Heart Curves (6 P)

### I

- Involutes (2 P)

### J

- Joachimsthal's Equation (empty)

### N

- Normals to Curves (2 P)

### O

- One-Parameter Families (2 P)
- Orientation (Coordinate Axes) (empty)

### P

- Pencils (1 P)
- Plane Analytic Geometry (1 P)
- Position-Ratios (6 P)

### Q

### S

- Slope (1 P)
- Stationary Points (4 P)

### T

## Pages in category "Analytic Geometry"

The following 39 pages are in this category, out of 39 total.

### A

### C

- Cantor-Dedekind Hypothesis
- Cauchy Condensation Test
- Condition for Collinearity of Points in Complex Plane
- Condition for Straight Lines in Plane to be Parallel
- Condition for Straight Lines in Plane to be Perpendicular
- Conditions for Homogeneity
- Conditions for Homogeneity/Straight Line
- Construction of Lattice Point in Cartesian Plane
- Construction of Point in Cartesian Plane with Rational Coordinates
- Continuously Differentiable Curve has Finite Arc Length