▪Μαθηματικές σελίδες: Γεωμετρία

The Five Squarable Lunes

Constructing the Heptadecagon

Generalizing Pythagoras and Carnot

Iterative Isoscelizing

Parabola Through Four Points

Euclid's Proposition III,20 and its Converse

Sphere Packing In Curved Space

Pascal's Mystic Hexagram

Min-Energy Configurations of Electrons On A Sphere

Generating Functions for Point Set Distances

Curvature of Linear Interpolation

An Optical Illusion

Platonic Solids and Plato's Theory of Everything

Euclid's Plan and Proposition 6

Volume of n-Spheres and the Gamma Function

Ptolemy's Orbit

Spiral Tilings and Integer Sequences

Apollonius' Tangency Problem

Loci of Equi-angular Points

Heron's Formula and Brahmagupta's Generalization

Heron's Formula for Tetrahedra

The Orbit of Triangles

Perpendicular Regression Of A Line

Rolling Spheres and Cones

Cramer's Paradox

The Lemniscate and Spacetime

Factoring Convex Figures

Smallest Quadrilateral With Distinct Integer Sides

Mean Distance from Vertex to Interior of Plane Figures

The Mystery of the Grazing Goat

Old Notes on Curvature

Did Archimedes Know Gauss-Bonnet?

Leaning Ladders

Pent Up Ratios

Thinking Outside the Triangle

Napoleon's Theorem

On the Ellipse

The Shape of Coincidence 

Double Equations from Triangles in Squares

Main Diagonal Passing Through Interior

Distances In Bounded Regions

Embedding Non-Euclidean Within Euclidean Geometry

Forests or Trees on a Complex Plain

On de Bruijn Grids and Tilings

Generalized Heron and Brahmagupta

Archimedes on Spheres and Cylinders

Pappus' Theorem

Acute Problem

Quintisecting an Angle

Quadrilateral In a Circle

Volume Under a Triangle

Constructible Points and Coverable Points

A Quarky Formula for Volume of Parallelpiped

Piero della Francesca's Tetrahedron Formula

Automedian Triangles

Piano Keys

On Ptolmey's Theorem

N-Fold Polygonal Spirals

Equal Bisectors and Isosceles Triangles

Equation of a Triangle

Highly Heronian Ellipses

No Equilateral Triangles on a Chess Board

Net Area and Green's Theorem

Ringing of the Changes (The Shape of 4!)

The Resultant and Bezout's Theorem

Stochastic Rhombic Tiling

Diophantine Geodesic Boxes

Angular Angst

Triangular Tilings of a Sphere

Zeno's Mice and the Logarithmic Spiral

Path Lengths and Coordinates

The Cube Unfolded

Revisiting the Four-Point Parabola

Morley's Trisection Theorem

Isospectral Point Sets in Higher Dimensions

Exponential Spiral Tilings

Harmonia Mensurarum

Constant Headings and Rhumb Lines

Enveloping Circular Arcs

Normals From A Point To An Ellipse

Cutting Self-Similar Pentagons

The Tetratorus and Other Multi-Layered Polyhedra

The Curvatures of Hypersurfaces

Menelaus and Ceva

Carnot, Organizer of Transversals

Non-Periodic Tilings With N-fold Symmetry

Aperiodic Tilings

Tilings Based on Perrin's Sequence

Routh's Formula by Cross Products