Online Geometry, Theorems and Problems Recent Additions 6, Theorems and Problems, Plane Geometry

Online Geometry

Geometry Theorems and Problems - Recent Additions (Page 6 of 15)

Euclidean Geometry

Triangle, Circumcenter, Angle

Problem 476.
Triangle, Circumcenter, Circumcircle, Angles.

Tangent circles, secant, parallel

Problem 475.
Tangent Circles, Secant, Tangent, Parallel.

Geometry Problems 41-50

Geometry Problems 41 - 50.
Triangle, Sangaku, Quadrilateral, Circle, 30-60 Degrees.

Parallelogram, Diagonal, Circle

Problem 474.
Parallelogram, Diagonal, Circle, Vertex.

Triangle, Area, Similarity

Problem 473.
Triangle, Parallel, Side, Parallelogram, Area, Similarity.

Triangle, Area, Similarity

Problem 472.
Triangle, Parallel, Side, Parallelogram, Area, Similarity.

Online education degree: geometry problems 21-30

Geometry Problems 21 - 30.
Right triangle, Altitude, Incircle and inradius, Congruence, Circle.

Triangle area, parallel, concurrency

Problem 471.
Triangle, Parallel, Side, Concurrency, Area, Similarity.

Online education degree: geometry problems 11-20

Geometry Problems 11 - 20.
Angle, Angle bisector, Triangle, Altitude, Median, Congruence, Cevian, Circle, Excircle, Excenter, Inradius, Exradius

Triangle area, Similarity

Problem 470.
Triangle, Parallel, Side, Parallelogram, Area, Similarity.

Online education degree: geometry problems 1-10

Geometry Problems 1 - 10.
Angle, Triangle, Quadrilateral, Congruence, 20, 30, 45, 60, 80, 120 degrees, Median, Auxiliary lines.

Isosceles triangle, midpoint, transversal

Proposed Problem 469.
Isosceles triangle, Midpoint, Transversal, Congruence.

Circle, chord, congruence, angle

Proposed Problem 468.
Circle, Chord, Midpoint, Congruence, Angle.

Concentric circles

Proposed Problem 467.
Concentric Circles, Chord, Tangent, Congruence, Measurement.

Concentric circles, secant, congruence

Proposed Problem 466.
Concentric Circles, Secant, Congruence, Measurement.

Square, Arc, 90 degrees

Proposed Problem 465.
Square, Arc, Angle, 90 Degrees, Measurement.

Napoleon Theorem and Problem Index

Napoleon's theorems and problems, Index.

Square, Arc, Angle

Proposed Problem 464.
Square, Arcs, Center, Angle, 90 Degrees, 120 Degrees.

Concentric circles, Index

Concentric Circles. Index.
Theorems and Problems. 

Concentric Circles Definition

Concentric Circles Definition.

Concentric Circles, Tangent, Area

Proposed Problem 463.
Three Concentric Circles, Secant, Tangent, Triangle, Area.

Square, Circle, Arc, 90 Degrees

Proposed Problem 462.
Square, Arcs, 90 Degrees, Circle, Tangent, Radius, Measurement.

Three tangent circles, Radius, Distance

Proposed Problem 461.
Three Circles, Tangent, Right Angle, Center, Distance, Measurement.

Circle, Tangent, Perpendicular, Radius

Proposed Problem 460.
Circle, Tangent, Perpendicular, Radius, Distance, Measurement.

Right triangle, Squares

Proposed Problem 459.
Right triangle, Squares, Distance, Measurement.

Square, Circle, Tangent

Proposed Problem 458.
Square, Semicircle, Circular Sector, Internal Common Tangent, Measurement.

Triangle Brocard point

Proposed Problem 457.
Triangle, First Brocard Point, Congruent angles, Circle, Circumradius.

Three tangent circles

Proposed Problem 456.
Three tangent circles, Center, Chord, Secant, Collinear.

Rhombus, Circle

Proposed Problem 455.
Rhombus, Inscribed Circle, Angle, Chord, 45 Degrees.

Triangle, Incircle, Inradius

Proposed Problem 454.
Triangle, Incircle, Inradius, Tangent, Circle, Radius.

Circular segments

Proposed Problem 453.
Intersecting Circles, Tangent, Circular Segment, Congruence, Area.

Triangle centers, visual index

Triangle Centers, Visual Index.

Fermat Point

Fermat Point.
 

Vecten Point

Vecten Outer Point.
 

Triangle, Circle, Tangent

Proposed Problem 452.
Triangle, Circle, Tangent, Proportional Segments.

Triangle, median

Proposed Problem 451.
Triangle, Median, Congruence, Proportional Segments.

Triangle, Median, Cevian

Proposed Problem 450.
Triangle, Median, Cevian, Congruence, Proportional Segments.

Circle, Diameter, Sagitta

Proposed Problem 449.
Congruent Tangent Circles, Diameter, Sagitta, Arc, Perpendicular, Chord.

Tangent circles, diameter

Proposed Problem 448.
Tangent Circles, Diameter, Perpendicular, Chord.

Complete Quadrilateral

Proposed Problem 447.
Complete Quadrilateral, Inradii, Exradii, Sides.

Complete quadrilateral

Complete Quadrilateral Index.
 

Quadrilateral Area

Proposed Problem 446.
Quadrilateral Area, Dividing the sides into 5 equal parts.

Three Tangent Circles

Proposed Problem 445.
Three Tangent Circles, Tangency Points, Circumradius.

Tangent Circles

Proposed Problem 444.
Internally Tangent circles, Secant line, Chords, Angles, Congruence.

Intersecting circles

Proposed Problem 443.
Overlapping, Intersecting Circles, Common Chord, Secant line, Tangent line, Angles.

Triangle, Median, Transversal

Proposed Problem 442.
Triangle, Median, Cevian, Transversal, Congruent Angles.

Problem 441: Quadrilateral, Area

Proposed Problem 441.
Quadrilateral, Triangle, Area, Proportion, Measurement, Similarity.

Geometry problem 440

Proposed Problem 440.
Triangle, Incircle, Incenter, Angle Bisector, Tangency Points, Circle, Angles.

Marion Walter's theorem and related topics

Marion Walter's Theorem and Related Topics: Index

Circle, Angle, Incenter, Isosceles triangle

Proposed Problem 439.
Isosceles triangle, Cevian, Incenter, Angles, Circle.

Tangent Circles, Chords, Perpendiculars

Proposed Problem 438.
Tangent Circles, Diameter, Chord, Perpendicular, Congruence, Measurement, Parallel lines.

Tangent Circles, Chords, Perpendiculars

Proposed Problem 437.
Tangent Circles, Diameter, Chord, Perpendicular, Congruence, Measurement.

Tangent Circles, Chords, Perpendiculars

Proposed Problem 436.
Tangent Circles, Diameter, Chord, Perpendicular, Congruence, Measurement.

Distance between the incenter to the centroid

Distance between the Incenter and the Centroid of a Triangle.
Formula in terms of the sides a,b,c.

Distance between triangle centers

Distances between Triangle Centers Index.

Triangle, CIrcle, Incircle, Inradius

Proposed Problem 435.
Triangle, Incircle, Inradius, Congruent circles, tangent, Measurement.

Quadrilateral, transversal, ratio, similarity

Proposed Problem 434.
Quadrilateral, Transversal, Ratio, Measurement, Similarity.

Problem 433: Quadrilateral, Area

Proposed Problem 433.
Quadrilateral, Triangle, Area, Proportion, Measurement, Similarity.

Problem 432: Trapezoid, Parallel, Similarity

Proposed Problem 432.
Trapezoid, Parallel, Measurement, Similarity, Transversal.

Quadrilateral, Midpoint diagonals

Proposed Problem 431.
Quadrilateral, Midpoints of Diagonals, Transversal.

Transversal Line, Index

Transversal Lines.

Inscribed and Circumscribed regular Pentagon, Areas

Proposed Problem 430.
Circumscribed and Inscribed Regular Pentagon, Perpendicular, Areas.

Obtuse Angle Index

Obtuse Angle. Theorems and Problems.

Isosceles triangle 80-20-80

Isosceles Triangle 80-20-80. Index

Regular pentagon

Proposed Problem 429.
Circumscribed and Inscribed Regular Pentagon, Perpendicular, Measurement.

Quadrant of a circle, Square

Proposed Problem 428.
Quadrant of a circle, Square, Angle bisector, Measurement.

Euclid's Elements Book i,1 Proposition 8 SSS

Euclid's Elements Book I, Proposition 8: (Side-Side-Side SSS Congruence)

Euclid's Elements Book I,1 Proposition 7

Euclid's Elements Book I, Proposition 7
Given two straight lines constructed on a straight line (from its extremities) and meeting in a point,...

Triangle, Altitudes

Proposed Problem 427.
Triangle, Two Altitudes, Square of a Side.

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