Statements (110)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:basedOn |
gptkb:Euclid's_Elements
|
| gptkbp:contrastsWith |
noncommutative geometry
|
| gptkbp:dimensions |
2
3 n |
| gptkbp:focusesOn |
geometry in flat space
|
| gptkbp:hasAxiom |
gptkb:Euclid
|
| https://www.w3.org/2000/01/rdf-schema#label |
Euclidean Geometry
|
| gptkbp:includes |
angles
circles lines parallel postulate points polygons triangles planes |
| gptkbp:namedAfter |
gptkb:Euclid
|
| gptkbp:originatedIn |
Ancient Greece
|
| gptkbp:studies |
gptkb:music
gptkb:region gptkb:symmetry gptkb:Pythagorean_theorem orthogonality reflection translator kites angles polyhedra circles dilation ellipses regular polygons regular solids lines chords parallelism congruence circle theorems parallel lines points polygons tangent circles arcs excircle incircle rotation planes right triangles locus similarity equilateral triangles acute triangles adjacent angles alternate exterior angles alternate interior angles altitudes angle bisectors angle sum bisector centroids circumcenters circumcircle compass and straightedge constructions complementary angles congruent triangles corresponding angles cross ratio diagonals exterior angles geometric constructions harmonic division homothety incenters interior angles intersections isosceles triangles medians midpoint midsegments obtuse triangles orthocenters parallelograms perimeter perpendicular bisectors perpendicular lines polygon exterior angles polygon interior angles power of a point proportional segments rectangles rhombuses scalene triangles secant lines secants segment bisectors similar triangles similarity ratios squares supplementary angles tangents transversals trapezoids vertical angles |
| gptkbp:usedIn |
gptkb:architecture
gptkb:art engineering physics |
| gptkbp:bfsParent |
gptkb:Parallel_Lines
|
| gptkbp:bfsLayer |
5
|