# 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 tuples of variables representing points in Cartesian space.

## Subcategories

This category has the following 89 subcategories, out of 89 total.

### A

- Arbitrary Constants (2 P)

### B

- Bend Points (empty)
- Bitangents (empty)
- Branches of Curves (empty)

### C

- Closed Curves (empty)
- Conformal Transformations (3 P)

### D

- Derivative of Arc Length (3 P)
- Directrices of Ruled Surfaces (empty)
- Double Tangents (empty)

### E

- Exponential Curves (empty)

### F

- Flecnodes (empty)

### G

- Glide Reflections (empty)

### H

- Heart Curves (6 P)

### I

- Involutes (2 P)

### J

- Joachimsthal's Equation (empty)

### L

- Loci (empty)

### N

- Natural Equations (empty)
- Normals to Curves (2 P)

### O

- Orientation (Coordinate Axes) (empty)
- Osculating Circles (empty)

### P

- Pencils (1 P)
- Position-Ratios (6 P)

### Q

- Quadratic Curves (empty)
- Quintic Curves (empty)

### R

- Radius of Curvature (3 P)
- Real Vector Spaces (1 P)

### S

- Skew Curves (empty)
- Stationary Points (5 P)

### T

- Transcendental Curves (empty)
- Turning Angles (empty)

### W

- Whewell Equations (2 P)

## Pages in category "Analytic Geometry"

The following 38 pages are in this category, out of 38 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