Math 2.0

Subjects

51 Geometry

See MSC 51 on zbMATH Open.

NameTagKindMSC
Platonic solid00BETAJNZ4definition51M20
Euclidean vector00EBGSR5NYdefinition51N20
Conic section00HJCMC2CDconcept51N20
Trisecting the angle00J3DCCEK5problem51M15
Power of a point00PPY3RPNBdefinition51M04
Glide reflection0167F9B344concept51F20
Platonic solid017E5PRS1Qconcept51M20
Distance from a point to a line01AAYNSBN6statement51N20
Regular polygon01KJJ9A400concept51M20
Similar triangles01PNAVFMYZdefinition51M04
Spherical coordinates01QFQAQ2PAconcept51N20
Reflection025158VEYZdefinition15A04, 51F15
Reflection in a line or plane027MBSVPY3definition51F15
Power of a point02E9VT1RVQconcept51M04
A tangent is perpendicular to the radius031JV5S54Dstatement51M04
Nine-point circle033H8MQRC3concept51M04
Parametric equation of a line0399QFDFS8concept51N20
Perpendicular bisector03J4NZFYRXdefinition51M04
Vectors are perpendicular if and only if their dot product is zero03NK6RSRQ1statement51N20
Circumcircle03VZJE6C8Cconcept51M04
Oriented angle03YN70NK0Zconcept51M05
Circle045DN06F3Sdefinition51M04
Concyclic points049DCJZ448concept51M04
Parabola04S2GMHX82concept51N20
Doubling the cube04SD3F4FCRproblem51M15
Perpendicular bisector055VNYT0PBconcept51M04
Isosceles triangle theorem056VS31A0Jstatement51M04
Ptolemy's theorem058YS05YP5statement51M04
Dihedral angle05HN08ZSRJconcept51N20
Angle sum of a triangle05MDKQBEAFstatement51M04
Circle060W5CBZP6concept51M04
Law of cosines060ZVZBV3Estatement51M04
Area of a triangle065JWMZW86concept51M25
Reflection06BRDF3F0Econcept15A04, 51F15
Midpoint06F3Y6CMG9definition51N10
Affine combination06HYY6DK6Xdefinition51N10
Geometric formula for the dot product070TXS9AXMstatement51N20
Taxicab metric07CJNE6ZAQexample51F99
Incircle07DFG5JYPTconcept51M04
Menelaus's theorem07NSKDGS7Sstatement51M04
Equation of a plane07SDJ5DNE4concept51N20
Directrix081YA6RCX6definition51N20
Angle bisector theorem0859R2V6ESstatement51M04
Translation087VJM5Q77concept51F20
Congruent triangles093EDENVA1concept51M04
Affine space09XNAPTJQ7concept51N10
Collinear points0AFNNTRTJEconcept51N10
Line0BMYPJBJH4definition51N20
Side-side-side congruence0BRBYRK6PAstatement51M04
Polar coordinates0BSW4T7THSconcept51N20
Squaring the circle0BSXRER81Bproblem51M15
Tangent line to a circle0C6THFRMZRdefinition51M04
Euclidean distance0C95TG69SGdefinition51N20
Altitude of a triangle0C9MZY2RNAconcept51M04
Conic section0CEAT3418Xdefinition51N20
Cyclic quadrilateral0CMC2KAXFSdefinition51M04
Parabola0CQW20XGFWdefinition51N20
Triangle0CTNFGYMM2concept51M04
Straightedge and compass construction0DAECMZVRTconcept51M15
Length of a vector0DZS7ZG0QYdefinition51N20
Euclidean metric0E1MMCAY5Bexample51M05
Directrix0E5CXYNEPXconcept51N20
Collinear points0ETCTBTJM1definition51N10
Circumcentre0F98FZK14Aconcept51M04
Affine subspace0FBXFBZBH8definition51N10
Ellipse0FF6CAQT2Ydefinition51N20
Affine span0FFAE5P6R4definition51N10
Heron's formula0FRBZ2X4HJstatement51M25
Cylindrical coordinates0G4MFRQSGNdefinition51N20
Oriented angle0G4W89YJRKdefinition51M05
Vector projection0G78GP5TF1definition51N20
Inscribed angle theorem0GA1V8NN8Cstatement51M04
Eccentricity0GCWJS2EGBdefinition51N20
Angle at a point0GJAJC6TNZconcept51M05
The medians meet at the centroid0GPQ67XV7Nstatement51M04
Angles in the same segment are equal0GS0AW6JRYstatement51M04
Thales's theorem0GSDHYMA1Tstatement51M04
Plane0H97Q4Z2SFdefinition51N20
Rotation0HFREYRSZPconcept51F20
Eccentricity0HVX863SAJconcept51N20
Euclidean isometry0J1N3WTKM4concept51F20
Intersecting secants theorem0J5XR7BW2Sstatement51M04
Nine-point circle0J768YF1ZEdefinition51M04
Triangle0JDB8YJBSRdefinition51M04
Affine map0JF0TVYGWTconcept51N10
Vector projection0JW13B48YPconcept51N20
Concyclic points0JWCX0TW2Sdefinition51M04
Distance from a point to a plane0K1E2S6Z69statement51N20
Parallelepiped0K9GBTZ1FXdefinition51M20
Affine combination0KJH6SRFZKconcept51N10
Ceva's theorem0KN93VDSXAstatement51M04
Intercept theorem0M1GFS6PVAstatement51M04
Classification of the Platonic solids0M4TCS0RRGstatement51M20
Incentre0M9MX8YW0Aconcept51M04
Line0MP9BCF6DPconcept51N20
Classification of conics by the discriminant0N5NR32NQGstatement51N20
Apollonius's theorem0NAKHQ9XYYstatement51M04
Euclidean distance0NPPGHQNXQconcept51N20
Exterior angle theorem0NTSE7EREAstatement51M04
Euclidean isometry0NXJM01QX1definition51F20
Angle-angle similarity0NZVJYZVTZstatement51M04
Classification of isometries of the plane0P0XDY9FZNstatement51F20
Hyperbola0P234N3M28definition51N20
Glide reflection0P42JB4E3Mdefinition51F20
Law of sines0PASQ34GHGstatement51M04
Angle between two vectors0PRAS55318definition51N20
Affine subspace0PYW26VNT6concept51N10
Affine map0QHX5GGABEdefinition51N10
Orthocentre0QMYQ1X03Hdefinition51M04
Euclidean vector0QN3D80AWPconcept51N20
Homothety0QVDWMKQ0Tdefinition51N10
Tangent–secant theorem0QX7E9KAAXstatement51M04
Translation0R5QPQ3AGJdefinition51F20
Focus of a conic0RBKKNH4GVconcept51N20
Cyclic quadrilateral0RCP929Y1Mconcept51M04
Incircle0RGWYWWBM5definition51M04
Polar coordinates0RJZV05MJAdefinition51N20
Circumcircle0RKB5MKC05definition51M04
Focus of a conic0RV3AEXPT6definition51N20
Spherical coordinates0RW8KPMXF6definition51N20
Cartesian coordinate system0RWKYX8339concept51N20
Midpoint0S706JBZBGconcept51N10
Dihedral angle0SDFXN1VDQdefinition51N20
Parallelepiped0SQV2VJTGYconcept51M20
Tangent line to a circle0T7DX8NY1Xconcept51M04
Affine space0TEJ6QF7K9definition51N10
Cylindrical coordinates0TK9MCFHBWconcept51N20
Circumcentre0TP2QKJ8DEdefinition51M04
Incentre0TWPTQ0AD7definition51M04
Plane0V3XAMF3C1concept51N20
Regular polygon0V63D9V0FYdefinition51M20
Ellipse0VKCCEXBJ1concept51N20
Cartan–Dieudonné theorem0VMWGYY35Qstatement51F15, 15B10
Pythagorean theorem0VP3A1290Kstatement51M04
Euler line0VX0CPRQTZstatement51M04
Orthocentre0WB619CA0Vconcept51M04
Hyperbola0WN5G117YCconcept51N20
Normal vector0WQJJCCTC8concept51N20
Congruent triangles0X3TEM69AAdefinition51M04
Centroid0X7EEWES5Gconcept51M04
Altitude of a triangle0X89GC65N1definition51M04
Length of a vector0XKBKGTCPCconcept51N20
Rotation0XNZWJ96HKdefinition51F20
Euclidean space0XPR1E85W0object51M05
Euclidean plane0XW7V9ZZ05object51M05
Median of a triangle0XW8HX8VEVconcept51M04
Normal vector0XYP2KKSPCdefinition51N20
Centroid0Y5RHNRKJZdefinition51M04
Similar triangles0YF6QXXWB5concept51M04
Affine span0YMB1676R1concept51N10
Intersecting chords theorem0YQQYET8YQstatement51M04
Angle at a point0ZDDNBQSC4definition51M05
Angle between two vectors0ZEHZY85E6concept51N20
Median of a triangle0ZET0ZH16Wdefinition51M04
Homothety0ZG1PNEP35concept51N10