Quadratic and cubic roots, triangle solver, shape areas and volumes, linear systems, matrices, vectors, trig, complex numbers, series, coordinate geometry.
payments ON MAINNET (real money) · 11 live endpoints
| Endpoint | Price | What it answers |
|---|---|---|
GET /complex-ops | $0.02 | Complex number arithmetic, modulus and argument, integer powers, square root and n-th roots, in rectangular and polar form. |
GET /coordinate-geometry | $0.02 | Plane geometry from coordinates: line through two points, distance, circle through three points, polygon area, intersections. |
GET /cubic-solve | $0.02 | Solve ax^3 + bx^2 + cx + d = 0: all three roots (real and complex) by Cardano and the trigonometric method. |
GET /linear-system | $0.02 | Solve linear equations Ax = b (up to 6 unknowns): unique, none or infinite solutions, with rank and determinant. |
GET /matrix-ops | $0.02 | Matrix determinant, inverse, transpose, rank, trace, product with a second matrix, and eigenvalues of 2x2 and 3x3 matrices. |
GET /quadratic-solve | $0.02 | Solve ax^2 + bx + c = 0: real or complex roots, discriminant, vertex, axis of symmetry and factored form. |
GET /sequence-sum | $0.02 | Arithmetic and geometric sequences: n-th term and sum (and infinite sum when it converges), plus Fibonacci and Lucas numbers. |
GET /shape-measure | $0.02 | Area, perimeter, surface area and volume of circles, polygons, sectors, spheres, cylinders, cones, boxes, tori and more. |
GET /triangle-solve | $0.02 | Solve a triangle from any three of sides a, b, c and angles A, B, C (degrees), incl. ambiguous SSA, with area and radii. |
GET /trig-values | $0.02 | Sine, cosine, tangent of an angle in degrees or radians, exact values at special angles, and inverse trig functions. |
GET /vector-ops | $0.02 | Vector operations: dot and cross product, magnitudes, angle between vectors, projection, unit vectors and distance. |
GET /catalog returns this list as JSON. Activity hub · uptime.
All results are computed locally with standard algorithms in double-precision arithmetic (about 15 significant digits), provided as is. Ill-conditioned problems (nearly singular matrices, nearly equal roots) lose accuracy and are flagged where detected. Inputs travel in the query string, so keep them small. Every paid response carries a disclaimer field.