Circle Overlap Lens
Calculate the shared lens area and common chord where two circles partially overlap.
GeometryOpen tool ↗THE FEUTEX TOOLKIT
Tools for everyday tasks · Page 17
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1444 tools
Circular Segment Profile
Find a circular segment’s area, chord width and central angle from its radius and height.
GeometryOpen tool ↗Spherical Cap Profile
Measure a sphere cap’s volume, curved surface and base radius from cap height.
GeometryOpen tool ↗Triaxial Ellipsoid Profile
Calculate the volume and three central cross-sections of an ellipsoid with unequal semi-axes.
GeometryOpen tool ↗Platonic Solid Comparison
Compare the volumes of four regular Platonic solids sharing one edge length.
GeometryOpen tool ↗Triangle Incircle and Circumcircle
Find the inscribed and circumscribed circle radii of a triangle from its three side lengths.
GeometryOpen tool ↗Triangle Centroid Coordinates
Locate a triangle’s centroid and measure its first median from three vertex coordinates.
GeometryOpen tool ↗Barycentric Point Location
Express a point as three triangle weights to inspect its location relative to the triangle.
GeometryOpen tool ↗Point Projection onto a Line
Find the perpendicular distance and closest point from a coordinate to an infinite line.
GeometryOpen tool ↗Point Projection onto a Plane
Project a three-dimensional point onto a plane and measure its perpendicular distance.
GeometryOpen tool ↗Vector Cross Product
Calculate a three-dimensional cross product and the parallelogram area spanned by two vectors.
GeometryOpen tool ↗Vector Angle and Projection
Measure the angle between two planar vectors and project the first onto the second.
GeometryOpen tool ↗Ellipse Foci and Eccentricity
Find an ellipse’s focal offset, eccentricity and latus rectum from its major and minor semi-axes.
GeometryOpen tool ↗Hyperbola Foci and Asymptotes
Find focal distance, eccentricity and asymptote slope for a horizontal hyperbola.
GeometryOpen tool ↗Parabola Focus and Directrix
Locate the focus and directrix of a vertical parabola and calculate its focal chord width.
GeometryOpen tool ↗Quadratic Bézier Point and Tangent
Evaluate a point and tangent on a quadratic Bézier curve from three control points.
GeometryOpen tool ↗Catenary Sag and Arc Length
Estimate the sag, total arc length and end slope of a symmetric mathematical catenary.
GeometryOpen tool ↗Cycloid Point and Tangent
Locate a point on a rolling-circle cycloid and evaluate its parametric tangent.
GeometryOpen tool ↗2×2 Matrix Inverse
Invert a nonsingular two-by-two matrix and inspect its determinant.
MathOpen tool ↗Symmetric 2×2 Matrix Spectrum
Calculate the two real eigenvalues and principal-axis angle of a symmetric two-by-two matrix.
MathOpen tool ↗2×2 Singular Values and Conditioning
Find both singular values and the spectral condition number of a nonsingular two-by-two matrix.
MathOpen tool ↗Complex Product and Quotient
Multiply and divide two complex numbers while keeping real and imaginary components separate.
MathOpen tool ↗Newton Root-Finding Step
Perform one Newton root-finding iteration using a supplied function value and derivative.
MathOpen tool ↗Simpson Integration Panel
Integrate three equally spaced measurements using Simpson’s rule and compare a trapezoid estimate.
MathOpen tool ↗Richardson Extrapolation
Extrapolate two numerical estimates to zero step size using a known leading error order.
MathOpen tool ↗Complex Magnitude, Phase and Principal Root
Find magnitude, phase and the principal square root of a complex number.
MathOpen tool ↗Three-Node Polynomial Interpolation
Interpolate a quadratic through three data points and evaluate its value and derivative.
MathOpen tool ↗Centered Derivative Stencil
Estimate first and second derivatives from three equally spaced function measurements.
MathOpen tool ↗Secant Root-Finding Step
Calculate the next secant-method root estimate using two positions and function values.
MathOpen tool ↗Fibonacci Index Values
Calculate Fibonacci and Lucas numbers at a bounded nonnegative integer index.
MathOpen tool ↗Logistic Map Dynamics
Inspect the next state, local derivative and nonzero fixed point of the logistic map.
MathOpen tool ↗Logistic Growth Trajectory
Evaluate a logistic growth model at a chosen time with an explicit carrying capacity.
MathOpen tool ↗Gompertz Growth Trajectory
Evaluate a Gompertz growth curve, its instantaneous growth and its inflection time.
MathOpen tool ↗Spherical Triangle Excess and Area
Calculate spherical excess and surface area from three angles on a chosen sphere.
GeometryOpen tool ↗Spherical Coordinate Position
Convert a spherical position to Cartesian coordinates with explicit polar-angle conventions.
GeometryOpen tool ↗Two-Line Intersection
Find the unique intersection of two planar lines expressed in coefficient form.
GeometryOpen tool ↗Point Rotation about a Center
Rotate a planar point counterclockwise around a chosen center.
GeometryOpen tool ↗Affine Point Transformation
Apply a two-dimensional affine map and inspect its area scale and orientation.
GeometryOpen tool ↗Geometric Waiting-Time Probability
Calculate exact and cumulative waiting probabilities before the first successful trial.
ProbabilityOpen tool ↗Uniform Distribution Interval
Find interval probability, mean and variance for a bounded uniform distribution.
ProbabilityOpen tool ↗Triangular Distribution Profile
Evaluate cumulative probability and moments for a minimum-mode-maximum triangular distribution.
ProbabilityOpen tool ↗Exponential Lifetime Profile
Calculate survival probability, cumulative probability and typical waiting times under constant hazard.
ProbabilityOpen tool ↗Weibull Lifetime Profile
Evaluate Weibull survival, failure probability, instantaneous hazard and median lifetime.
ProbabilityOpen tool ↗Logistic Distribution Profile
Evaluate logistic cumulative probability, density and variance from location and scale.
ProbabilityOpen tool ↗Cauchy Distribution Profile
Evaluate Cauchy cumulative probability, density and interquartile range without undefined moments.
ProbabilityOpen tool ↗Laplace Distribution Profile
Evaluate Laplace cumulative probability, density and variance from location and scale.
ProbabilityOpen tool ↗Pareto Tail Profile
Calculate Pareto exceedance probability and finite moments for a heavy-tailed model.
ProbabilityOpen tool ↗Rayleigh Distribution Profile
Evaluate Rayleigh density, cumulative probability, mean and variance for a nonnegative magnitude.
ProbabilityOpen tool ↗No matching tools.