Machu Picchu, Geometry Theorems and Problems, Online Education


Geometry Theorems and Problems - Recent Additions (Page 8 of 15)

Euclidean Geometry


Parallel lines

Problem 549.
Parallel lines, Transversal, Angle Sums.

Triangle, Circumcircles, Circumcenters, Concyclic

Problem 548.
Triangle, Transversal, Four Circumcircles, Circumcenters, Concyclic Points, Similarity.

Triangle, Four circumcircles

Problem 547.
Triangle, Transversal, Four Circumcircles, Concurrency.

Circumcircle Index

Circumcircle Index.

Triangle, Angle Trisectors, Equilateral

Problem 546.
Triangle, Angle Trisectors, 60 Degrees, Equilateral triangle.

Acute Triangle with altitudes and squares

Problem 545.
Acute Triangle, Squares, Altitudes, Area, Measure.

Right Triangle, Altitude, Median, Equal angles, Measure

Problem 544.
Right Triangle, Altitude, Median, Equal angles, Measure.

Geometry problems 341-350

Geometry Problems 341 - 350.
Triangle, Quadrilateral, Pentagon, Hexagon, Inscribed circle, Tangent, Semiperimeter, Equal circles, Concurrent lines, Altitude, Concyclic Points, Cevian, Incircle.

Right Triangle, Altitude, Angle Bisector, Median

Problem 543.
Right Triangle, Altitude, Angle Bisector, Median.

Right triangle, Altitude, Angle Bisectors, 90 Degrees

Problem 542.
Right Triangle, Altitude, Angle Bisector, Perpendicular, 90 Degrees.

Right triangle, Altitude, Angle Bisector

Problem 541.
Right Triangle, Altitude, Angle Bisector, Congruence.

Geometry problems 331-340

Geometry Problems 331 - 340.
Square, Circle, Similarity, Cyclic quadrilateral, Trapezoid, Triangle, Isosceles, Circumcircle, Incircle, Diagonal, Tangent, Perpendicular, Parallel, Concyclic points.

Geometry problems 321-330

Geometry Problems 321 - 330.
Triangle, Square, Circle, Area, Cyclic quadrilateral, Tangent, Incenter, Circumcenter, Excircle, Midpoint, Altitude, Collinearity, Concurrence, Isosceles, Equilateral, Parallel, Perpendicular, Diameter, Concyclic.

Geometry problems 311-320

Geometry Problems 311 - 320.
Circle, Semicircle, Chord, Diameter, Tangent, Cyclic quadrilateral, Geometric mean, Square, Right triangle, Altitude, Collinearity, Circumcircle, Incenter, Excenter.

Geometry problems 301-310

Geometry Problems 301 - 310.
Circle, Tangent, Secant, Square, Triangle, Angle Bisector, 45, 60, 90, 120 Degrees, Side, Nonagon, Midpoint, Arc, Diagonal, Semicircle.

Geometry problems 231-240

Geometry Problems 231 - 240.
Triangle, Quadrilateral, Square, Parallelogram, Trapezoid, Altitude, Distances, Midpoint, Perpendicular, Transversal.

Right triangle, Square, Area

Problem 540.
Right Triangle, Square, Parallel, Perpendicular, Dissection, Area, Pythagoras.

Geometry problems 291-300

Geometry Problems 291 - 300.
Triangle, Circle, Square, Congruence, Similarity, Circumradius, Perpendicular, Parallel, Secant, Tangent, Chord, Intersection, Midpoint, Radius, Angle.

Right triangle, Square, Area

Problem 539.
Right Triangle, Square, Parallel, Perpendicular, Dissection, Area, Pythagoras.

Geometry problems 281-290

Geometry Problems 281 - 290.
Triangle, Square, Circle, Octagon, Congruence, Isosceles, Equilateral, 90 Degrees, Circular Sector, Semicircle, Tangent, Radius, Diameter, Harmonic Mean.

Triangle, Circumcircle, Perpendicular Bisector

Problem 538.
Triangle, Perpendicular Bisector, Circumcircle, Midpoint.

Rectangle, Midpoint, Diagonal, Angle Bisector

Problem 537.
Rectangle, Midpoints, Diagonal, Angle Bisector.

Intersecting Circles, Chord, Perpendicular 

Problem 536.
Intersecting Circles, Chord, Perpendicular.

Sawayama - Thebault Theorem

Problem 535.
Sawayama - Thebault's theorem: Triangle, Incircle, Circle, Center, Tangent, Collinear.

Right triangle, square, area

Problem 534.
Right Triangle, Squares, Perpendicular, Dissection, Areas.

Geometry problems 271-280

Geometry Problems 271 - 280.
Circle, Quadrilateral, Square, Tangent, Cube, Triangle, Isosceles, Area, 90-80-80-20 Degrees, Circumcircle, Sagitta, Inradius, Chord, Perpendicular.

Geometry problems 261-270

Geometry Problems 261 - 270.
Regular Polygon, Pentagon, Hexagon, Circle, Tangent, Similarity, Triangle, Hypotenuse, Catheti, Geometric Mean, Altitude, Projection, Fractional Exponent.

Problem 533: Euclid's Elements Book XIII, Proposition 10

Problem 533.
Euclid's Elements, Book XIII, Proposition 10. One page visual illustration.

Geometry problems 251-260

Geometry Problems 251 - 260.
Parallelogram, Rectangle, Triangle, Square, Circle, Area, Side, Equilateral, Isosceles, Centroid, Distance, Vertex, Circumcircle, Incircle, Tangent, Diagonal.

Brahmagupta Theorem and Problems Index

Brahmagupta Theorem and Problems - Index
Brahmagupta (598–668) was an Indian mathematician and astronomer who discovered a neat formula for the area of a cyclic quadrilateral.

Morphing Platonic Solds

Solid Geometry: Morphing Platonic Solids. Sacred geometry, Video and News.

Triangle, Area

Problem 532.
Triangle, Circumcircle, Equal Angles, Perpendicular, Area.

Ptolemy Theorem and Problems Index

Ptolemy's Theorems and Problems - Index.

Semiperimeter, Perimeter Index

Semiperimeter, Perimeter Index.
Theorems and Problems.

Triangle, Semiperimeter

Problem 531.
Triangle, Angle Bisector, Midpoint, Parallel, Perimeter, Semiperimeter.

Geometry problems 241-250

Geometry Problems 241 - 250.
Triangle, Quadrilateral, Congruence, Area, Parallelogram, Square, Diagonal, Center, Napoleon, Median, Midpoint.

Cyclic quadrilateral, Diagonal, Diameter

Problem 530.
Cyclic Quadrilateral, Diagonal, Diameter, Perpendicular, Congruence.

Right Trapezoid, Circle, Diameter

Problem 529.
Right Trapezoid, Circle, Diameter.

Triangle, Medians, Perpendicular

Problem 528.
Triangle, Medians, Perpendicular, Measurement.

Circle, Tangent, Secant, Midpoint

Problem 527.
Circle, Tangent, Secant, Chord, Midpoint, Measurement.

Equilateral triangle, Circumcircle

Problem 526.
Equilateral Triangle, Circumcircle, Chord, Measurement.

Geometry problems 221-230

Geometry Problems 221 - 230.
Isosceles, Equilateral triangle, Viviani's theorem, Altitude, Distances, Regular Polygon, Apothem, Centroid, Midpoint, Perpendicular, Transversal..

Circle, Tangent, Diameter, Radius, Congruence

Problem 525.
Circles, Diameter, Tangent, Radius, Congruence, Measurement.

Circle with equilateral triangles

Problem 524.
Circle, Equilateral Triangles, Midpoint, Side, Measurement.

Tangent Circles

Problem 523.
Tangent Circles, Diameter Perpendicular, Collinearity.

Geometry Problem: Right triangle, Circle, Tangent

Problem 522.
Right Triangle, Circle, Diameter, Tangent.

Triangle, Three Squares, Altitude, Area

Problem 521.
Triangle with three Squares, Altitude, Rectangle, Area.

Geometry problems 211-220

Geometry Problems 211 - 220.
Equilateral triangle, Quadrilateral, Area, Cyclic Quadrilateral, 60 Degree, Angle Bisector, 120, incircle, Inradius, Semicircle, Tangent, Concurrency, Right triangle, Altitude, Projection, Rhombus, Perpendicular, Arithmetic Mean, Distance.

Triangle with six Squares

Problem 520.
Triangle with six Squares, Ratio, Area.

Triangle with Squares and Rectangles

Problem 519.
Triangle, Squares, Altitude, Perpendicular, Rectangle, Area.

Geometry problems 191-200

Geometry Problems 191 - 200.
Triangle, Circle, Square, Area, Circle, Diameter, Altitude, Orthocenter, Semiperimeter, Inradius, Exradius, Quadrilateral, Angle, Tangent, Right triangle.

Geometry problem 518

Problem 518.
Parallelogram, Five Squares, Centers, 45 Degrees, Measure.

Right triangle with six squares

Problem 517.
Right Triangle, Six Squares, Areas.

Triangle, Cevian, Congruence, Angles

Problem 516.
Triangle, Cevian, Congruence, Angles.

Triaangle, Double-angle, Altitude

Problem 515.
Triangle, Double Angle, Altitude, Measure.

Geometry problems 181-190

Geometry Problems 181 - 190.
Right Triangle, Trapezoid, Square, Intersecting Circles, Circular Sector, 90 Degrees, Angles, Trisection, Hypotenuse, Distance, Incenter, Altitude, Diagonal, 45 Degrees, Tangent, Chord, Perpendicular.

Triangle with five squares

Problem 514.
Triangle, Five Squares, Line, Area.

Geometry problem Triangle with double angle

Problem 513.
Triangle, Double Angle, Exterior Angle Bisector, Measure.

Geometry problems 171-180

Geometry Problems 171 - 180.
Area, Triangle, Quadrilateral, Circle, Parallelogram, Trapezoid, Square, Rhombus, Diagonal, Angle, Tangent, Trisection.

Geometry problems 161-170

Geometry Problems 161 - 170.
Area, Triangle, Parallelogram, Trapezoid, Pentagon, Diagonal, Midpoint, Octagon.

Triangle with squares problem

Problem 512.
Triangle with three squares and concurrency.

Online education: Geometry Problem 511

Problem 511.
Triangle, Double Angle, Angle Bisector, Measure.

Triangle with three squares

Problem 510.
Triangle, Three Squares, Midpoints, Concurrency.

Triangle, 120 Degrees, Angles, Congruence, Mind Map

Problem 509.
Triangle, 120 Degrees, Angles, Congruence, Mind Map.

Geometry problems 151-160

Geometry Problems 151 - 160.
Triangle, Quadrilateral, Area, Trisection, Circle, Proportion, Diagonal, Chord,Inradius, Circumradius, Exradius, Euler, distance, Incenter, Circumcenter, Excenter, Incircle, Circumcircle.

Triangle with three squares

Problem 508.
Triangle with three Squares, Four triangle of equal Area.

Triangle, 120 Degrees, Congruence, Angle

Problem 507.
Triangle, Interior Point, 120 Degrees, Congruence, Angle.

Triangle with Three Squares, Center, Midpoint

Problem 506.
Triangle with Three Squares, Center, Midpoint, Perpendicular.

Right triangle, Cevian, Angles

Problem 505.
Right Triangle, Cevian, Sum of Segments, Angles.

Equilateral Triangle, Angles, 45, 60 Degrees

Problem 504.
Equilateral Triangle, Angles, 45, 60 Degrees.

Ten Geometry Problems, Visual Index

Ten Geometry Problems, Visual Index

Triangle with Three Squares

Problem 503.
Triangle with Three Squares, Perpendicular, Congruence, Concurrency.

Geometry Problems 141-150

Geometry Problems 141 - 150.
Triangle, Quadrilateral, Parallelogram, Incircle, Incenter, Tangent, Parallel, Perimeter, Area, Inradius, Circumradius, Midpoint, Varignon, Trisection.

Triangle, Two Squares, Midpoint, Perpendicular, Half the measure

Problem 502.
Triangle, Two Squares, Midpoint, Perpendicular, Half the measure.

Triangle, Two Squares, Center, Midpoint

Problem 501.
Triangle, Two Squares, Center, Midpoint, another Square.

Circle, Diameter, Chord, Perpendicular

Problem 500.
Circle, Diameter, Chord, Perpendicular, Measure.

Triangle, Two Squares, Perpendicular

Problem 499.
Triangle, Two Squares, Perpendicular.

Triangle, Angle Bisector, Double Angle

Problem 498.
Triangle, Angle Bisector, Double Angle, Measure.

Triangle, Two Squares, Centers, Midpoint, 90 Degrees

Problem 497.
Triangle, Two Squares, Centers, Midpoint, 90 Degrees.

Triangle with Squares, 90 degrees

Problem 496.
Triangle, Two Squares, 90 Degrees, Concurrency, Angle Bisectors.

Triangle with 120 degrees

Problem 495.
Triangle, 120 Degrees, Angle Bisectors.

Geometry Problems 121-130

Geometry Problems 121 - 130.
Triangle, Area, Similarity, Trisection, Hexagon, Star, Incenter, Centroid, Parallel, Proportions, Angle Bisector, Ratio

Elearn 494: Circular Sector, 90 Degrees

Problem 494.
Circular Sector, 90 Degrees, Semicircle, Chord, Parallel.

Geometry Problems 111-120

Geometry Problems 111 - 120.
Orthogonal Circles, Triangle, Square, Area, Incircle, Excircle, Tangent, Incenter

The Simson Line Index

The Simson Line, Theorems and Problems - Index.

Geometry Problems 101-110

Geometry Problems 101 - 110.
Angle, Equilateral Triangle, Pythagorean Theorem, Median, Heron, Cevian, Contact Triangle.

Elearn 493: Right triangle, Circumcircle, Perpendicular

Problem 493.
Right Triangle, Circumcircle, Perpendicular, Chord.

Elearn 492: Quadrilateral, CIrcle, Perpendicular, Parallel

Problem 492.
Cyclic Quadrilateral, Circle, Perpendicular, Side, Diagonal, Parallel.

Geometry Problems 91-100

Geometry Problems 91 - 100.
Similarity, Triangles, Altitude, Parallel, Circumcircle, Parallelogram, Incenter, Area, Centroid, Quadrilateral, Archimedes, Pythagoras.

Elearn 491: Square, Incircles, Radius, Side

Problem 491.
Square, Right Triangle, Incircle, Inscribed Circle, Radius.

Geometry Problem 81-90

Geometry Problems 81 - 90.
Triangle, Quadrilateral, Circle, Incircle, Circumcircle, Excircle, Inradius, Circumradius, Exradius, Contact Triangle, Area, Midpoint.

Elearn 490: Circular Sector Area

Problem 490.
Tangent Circles, Arc, Radius, Circular Sector, Area.

Elearn 489: Parallelogram, Areas

Problem 489.
Parallelogram, Triangle, Quadrilateral, Area.

Triangle, Cevian, Circle, Concurrency

Problem 488.
Triangle, Cevian, Concurrency, Circle, Circumcircle.

Geometry Problems 71-80

Geometry Problems 71 - 80.
Cyclic Quadrilateral, Intersecting Circles, Area, Inradius, Incircle.

Circle, Area, 90 Degrees

Problem 487.
Intersecting Circles, Area, Diameter, Parallel, 90 Degrees.

Tangent circles, Midpoint, Arc, Collinear

Problem 486.
Tangent circles, Chord, Arc, Midpoint, Collinearity, Congruence.

Square, Circles, Tangent

Problem 485.
Square, Side, Circles, Tangent, Radius, Measurement.

Square, Angle, 90 degrees, Proportion

Problem 484.
Square, Angle, 90 degrees, Triangle, Measurement, Proportion.

Geometry problems visual index

Geometry Problems - Visual Index.

Triangle, Square, 90 degrees

Problem 483.
Square, Angle, 90 degrees, Measurement.

Triangle, Circumcircle, Incircle, Excircle

Problem 482.
Triangle, Circumcircle, Incenter, Excenter, Midpoint, Cyclic Points.

Triangle, Altitude, Perpendicular, Angle

Problem 481.
Triangle, Altitude, Cevian, Perpendicular, Angle.

Geometry Problems 61-70

Geometry Problems 61 - 70.
Triangle, Quadrilateral, Circle, Cyclic, Similarity.

 Triangle, circle, angle, altitude

Problem 480.
Triangle, Circle, Center, Altitude, Angle, Circumcenter.

Triangle COncurrency, Transversal, Proportion

Problem 479.
Triangle, Cevians, Concurrency, Transversal, Proportion.

Triangle, Sides, Circumradius

Problem 478.
Triangle, Sides, Circumradius, Circumcenter, Circumcircle.

Parallelogram, triangle, quadrilateral, area

Problem 477.
Parallelogram, Triangle, Quadrilateral, Area.

Geometry problems 51-60

Geometry Problems 51 - 60.
Triangle, Quadrilateral, Circle, Cyclic Quadrilateral.

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.

Circumradius, Circumcenter, Triangle

Proposed Problem 426.
Triangle, Circumradius, Circumcenter, concurrent Cevians.

Euclid's Elements Book I,1 Proposition 5, Isosceles Triangle

Euclid's Elements Book I, Proposition 5: (Pons Asinorum) Isosceles triangles

Area of a square

Area of a Square Index.

Euclid's Elements Book I Proposition 6

Euclid's Elements Book I, Proposition 6: Converse of I.5

Geometry classes problem 425

Proposed Problem 425.
Quadrilateral, Triangle, Angles, 10, 20, 50 degrees, Congruence.

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