Geometry Theorems and Problems - Recent Additions (Page
9 of 15)
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![Euclidean Geometry](euclidean_geometry_17.jpg) |
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![Triangle, Cevian, Angle, 90 degree, Congruence](../problem/p424_triangle_angle_17.jpg) |
Proposed
Problem 424.
Triangle, Cevian, Angle, 90 degree, Congruence. |
![a](euclid_book_i_4_sas_17.jpg) |
Euclid's Elements Book I, Proposition 4: (Side-Angle-Side SAS) |
![Euclid's Elements Book I, Proposition 3](euclid_book_i_3_17.jpg) |
Euclid's Elements Book I, Proposition 3: Given two unequal straight lines, to cut off from the greater a straight line equal to the less |
![Euclid's Elements Book I, Proposition 2](euclid_book_i_2_17.jpg) |
Euclid's Elements Book I, Proposition 2: To place at a given point (as an extremity) a straight line equal to a given straight line |
![Euclid's Elements Book I, Proposition 1](euclid_book_i_1_17.jpg) |
Euclid's Elements Book I, Proposition 1:
On a given finite line to construct an equilateral triangle |
![Triangle, Angle, Congruence](../problem/p423_triangle_angle_17.jpg) |
Proposed
Problem 423.
Triangle, 30, 40 degree, Angle, Congruence. |
![Triangle, Angle, Congruence](../problem/p422_triangle_angle_17.jpg) |
Proposed
Problem 422.
Triangle, 24, 30 degree, Angle, Congruence. |
![Right triangle, Angles, Measurement](../problem/p421_right_triangle_angle_1.jpg) |
Proposed
Problem 421.
Right Triangle, Cevian, Angles, Measurement. |
![Triangle, Angle, Altitude, Side, Measurement](../problem/p420_triangle_angle_17.jpg) |
Proposed
Problem 420.
Triangle, Altitude, Angles, Sides, Measurement. |
![Triangle, Incircle, Excircle, Inradius, Exradius](../problem/p419_triangle_incircle_17.jpg) |
Proposed
Problem 419.
Triangle, Cevian, Incircle, Excircle, Inradius, Exradius |
![Triangle, Incircle, Inradius, Tangent](../problem/p418_triangle_incircle_17.jpg) |
Proposed
Problem 418.
Triangle, Incircle, Inradius, Equal Tangent circles, Radius. |
![Tangent circles, Angles](../problem/p417_tangent_circles_17.jpg) |
Proposed
Problem 417.
Tangent circles, Tangent lines, Angles. |
![Routh's theorem index](routh's_theorem_index_17.jpg) |
Routh's Theorem - Index
Triangle, Cevians, Area, Ratio.
|
![Routh's Theorem 1](routh's_theorem_1_17.jpg) |
Routh's Theorem 1.
Triangle, Cevians, Ratio of Areas. |
![Routh's theorem: Triangle, Cevians, Area Ratio](routh's_theorem_2_17.jpg) |
Routh's Theorem 2.
Triangle, Cevians, Ratio of Areas. |
![ROuth's Theorem 3: Triangle, Cevians, Ratio Area](routh's_theorem_3_17.jpg) |
Routh's Theorem 3.
Triangle, Cevians, Ratio of Areas. |
![Routh's theorem 4: Triangle, Cevians, Area](routh's_theorem_4_17.jpg) |
Routh's Theorem 4.
Triangle, Cevians, Ratio of Areas. |
![Area of a triangle, Cevian, Trisector](../problem/p416_triangle_area_17.jpg) |
Proposed
Problem 416.
Triangle, Cevians, Trisectors, Area. |
![Right triangle, Cevian, Angle, Congruence](../problem/p415_right_triangle_angle_1.jpg) |
Proposed
Problem 415.
Right
Triangle, Cevian, Angles, Congruence. |
![Triangle, Angle, Median, Altitude, Congruence](../problem/p414_triangle_angle_17.jpg) |
Proposed
Problem 414.
Triangle, Angles, Altitude, Median, Congruence. |
![Cyclic quadrilateral, Orthocenter, Parallelogram, Congruence](../problem/p413_cyclic_quadrilateral_1.jpg) |
Proposed
Problem 413.
Cyclic Quadrilateral, Orthocenter, Parallelogram, Concurrency, Congruence. |
![Triangle, Angles, Congruence](../problem/p412_triangle_angles_17.jpg) |
Proposed
Problem 412.
Triangle, Angles, Congruence. |
![Triangle, Median, Angles](../problem/p411_triangle_median_angle_.jpg) |
Proposed
Problem 411.
Triangle, Median, Angles. |
![Regular pentagons, Angle](../problem/p410_regular_pentagon_17.jpg) |
Proposed
Problem 410.
Two Regular Pentagons, Angle. |
![Quadrilateral, Angles, Diagonals, Perpendicular](../problem/p409_angle_quadrilateral_17.jpg) |
Proposed
Problem 409.
Quadrilateral, Diagonals, Perpendicular, Congruence. |
![Cyclic quadrilateral, Perpendicular, Parallelogram, Congruence](../problem/p408_cyclic_quadrilateral_1.jpg) |
Proposed
Problem 408.
Cyclic quadrilateral, Perpendicular, Parallelogram, Congruence. |
![Right triangle, 15 degrees](../problem/p406_right_triangle_15_30_1.jpg) |
Proposed
Problem 406.
Right triangle, 15 degrees, Midpoints, Congruence. |
![Quadrilateral, 60, 75, 135 degrees](../problem/p405_quadrilateral_60_75_17.jpg) |
Proposed
Problem 405.
Quadrilateral, 60, 75, and 135 degrees, Midpoint. |
![Concurrent lines, Index](concurrent_lines_index_17.jpg) |
Concurrent lines.
Theorems and Problems Index. |
![Equilateral triangles](../problem/p404_equilateral_triangle_1.jpg) |
Proposed
Problem 404.
External Equilateral triangles, Congruent and Concurrent Lines. |
![Trapezoid median, Theorems and Problems, Index](trapezoid_median_index_17.jpg) |
Median of a Trapezoid, Theorems and Problems.
Index.
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![Circular Sector Index](../circle/circular_sector_index_17.jpg) |
Circular
Sector.
Index.
Theorems and Problems.
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![Circular Sector 90 degrees](../problem/p403_circular_sector_area_1.jpg) |
Proposed
Problem 403.
Circular sector, 90 degrees, Circle, Semicircle, Area. |
![Hexagon, Centroids](../problem/p402_hexagon_centroid_17.jpg) |
Proposed
Problem 402.
Hexagon, Triangle, Centroid, Parallel, Congruence, Similarity. |
![Area of a triangle, Circumcircle, Angle Bisector](../problem/p401_area_triangle_17.jpg) |
Proposed
Problem 401.
Area, Triangle, Angle bisector, Circumcircle, Perpendicular bisector, Congruence. |
![Point, Theorems and Problems, Index](point_theorems_index_17.jpg) |
Points, Theorems and Problems - Index. |
![Triangle, Angle Bisector, Circumcircle](../problem/p400_triangle_circle_17.jpg) |
Proposed
Problem 400.
Triangle, Angle bisector, Circumcircle, Perpendicular, Congruence. |
![RIght triangle, Midpoints, Distance](../problem/p399_right_triangle_17.jpg) |
Proposed
Problem 399.
Right triangle, Midpoints, Distance, Pythagorean theorem, Congruence. |
![Parallelogram, Area](../problem/p398_area_parallelogram_17.jpg) |
Proposed
Problem 398.
Parallelogram, Area, Similarity, Congruence. |
![Triangle, Altitude](../problem/p397_triangle_midpoint_17.jpg) |
Proposed
Problem 397.
Triangle, Altitude, Midpoints, Congruence. |
![Square, Angle trisectors](../problem/p396_square_trisector_17.jpg) |
Proposed
Problem 396.
Square, Angle Trisectors, Congruence, Area. |
![Square, 15 degree](../problem/p395_square_15_degree_17.jpg) |
Proposed
Problem 395.
Square, 15 Degree, Equilateral triangle. |
![Kosnita theorem](../center/kosnita_theorem_17.jpg) |
Kosnita's
Theorem.
Circumcenters, Concurrent lines. |
![Square, Circle](../problem/p394_square_circle_17.jpg) |
Proposed
Problem 394.
Square, 90 Degree Arc, Diagonal, Congruence. |
![Triangle, Orthocenter](../problem/p393_triangle_orthocenter_1.jpg) |
Proposed
Problem 393.
Triangle, Orthocenter, Circumcircles, Congruence, Collinear. |
![Median of a triangle, Index](median_index_17.jpg) |
Median Index.
Theorems and Problems. |
![Triangle, Parallel, Concurrent lines](../problem/p392_triangle_collinear_17.jpg) |
Proposed
Problem 392.
Triangle, Parallel lines, Concurrent lines. |
![Triangle, Parallel, Collinear points](../problem/p391_triangle_collinear_17.jpg) |
Proposed
Problem 391.
Triangle, Parallel lines, Collinear points. |
![Triangle, Parallel, Collinear points](../problem/p390_triangle_collinear_17.jpg) |
Proposed
Problem 390.
Triangle, Parallel lines, Collinear points. |
![Triangle, Parallel, Harmonic Mean](../problem/p389_triangle_parallel_17.jpg) |
Proposed
Problem 389.
Triangle, Parallel lines, Harmonic Mean. |
![Triangle, Angle bisector, Perpendicular, Parallel](../problem/p388_triangle_bisector_17.jpg) |
Proposed
Problem 388.
Triangle, Angle bisector, Perpendicular, Parallel. |
![Triangle, Angle Bisector, Perpendicular, Concyclic points](../problem/p387_triangle_bisector_17.jpg) |
Proposed
Problem 387.
Triangle, Angle bisector, Perpendicular, Concyclic points. |
![Triangle, Angle bisectors](../problem/p386_triangle_bisector_17.jpg) |
Proposed
Problem 386.
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter,
Congruence. |
![Triangle, Angle bisectors](../problem/p385_triangle_bisector_17.jpg) |
Proposed
Problem 385.
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter. |
![Triangle, Angle bisectors](../problem/p384_triangle_bisector_17.jpg) |
Proposed
Problem 384.
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter. |
![Concave Quadrilateral, Angle bisectors](../problem/p383_quadrilateral_angle_17.jpg) |
Proposed
Problem 383.
Concave
Quadrilateral, Angle Bisectors, Semi-difference of Angles. |
![Quadrilateral, Angle Bisectors](../problem/p382_quadrilateral_angle_17.jpg) |
Proposed
Problem 382.
Concave
Quadrilateral, Angle Bisectors, Angles. |
![Quadrilateral, Angle Bisectors](../problem/p381_quadrilateral_angle_17.jpg) |
Proposed
Problem 381.
Quadrilateral, Diagonals, Angle Bisectors, Angles. |
![Chord Index](../circle/chord_circle_index_17.jpg) |
Chord.
Index.
A chord of a circle is the line segment joining two points on the
circle.
|
![Triangle, Excenter, Parallel](../problem/p380_triangle_excenter_17.jpg) |
Proposed
Problem 380.
Triangle, Excenter, Parallel to a side, Angle, Congruence. |
![Triangle, Excenter, Parallel](../problem/p379_triangle_excenter_17.jpg) |
Proposed
Problem 379.
Triangle, Excenter, Parallel to a side, Angle, Congruence. |
![Triangle, Incenter, Parallel to a side](../problem/p378_triangle_incenter_17.jpg) |
Proposed
Problem 378.
Triangle, Incenter, Parallel to a side, Angle, Congruence. |
![Triangle, Altitude, Angle bisector](../problem/p377_triangle_altitude_17.jpg) |
Proposed
Problem 377.
Triangle, Internal Angle Bisector, Altitude. |
![Triangle, Excenter, Internal and External angle bisector,](../problem/p376_triangle_excenter_17.jpg) |
Proposed
Problem 376.
Triangle, Excenter, Internal and External Angle Bisectors. |
![Triangle, Excenter, Angle](../problem/p375_triangle_excenter_17.jpg) |
Proposed
Problem 375.
Triangle, Excenter, External Angle Bisectors. |
![Tiangle, Incenter, Angle](../problem/p374_triangle_incenter_17.jpg) |
Proposed
Problem 374.
Triangle, Incenter, Internal Angle Bisectors. |
![Problem about square and inscribed circle](../problem/p373_square_circle_angle_17.jpg) |
Proposed
Problem 373.
Square, Inscribed Circle, Diagonal, Perpendicular, Angle. |
![Circles, Common tangent](../problem/p372_circle_angle_17.jpg) |
Proposed
Problem 372.
Circles, Common Internal and External Tangent, Angles. |
![Square, Triangle, Area, Circle](../problem/p371_square_circle_17.jpg) |
Proposed
Problem 371.
Square, Inscribed circle, Triangle, Area. |
![Triangle with squares, Circumcircles](../problem/p370_triangle_square_circle.jpg) |
Proposed
Problem 370.
Triangle with squares, Circumcircles, Tangent circles. |
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Proposed
Problem 369.
Intersecting circles, Chord, Center, Angle, Congruence. |
![Triangle, 120 degrees, angle bisectors](../problem/p368_triangle_120_17.jpg) |
Proposed
Problem 368.
Triangle, 120 degrees, Angle bisectors, Perpendicular. |
![Square, 45 degrees](../problem/p367_square_45_17.jpg) |
Proposed
Problem 367.
Square, Angle, 45 degrees, Pythagoras, Congruence, Similarity. |
![Equilateral triangle, circumcircle](../problem/p366_equilateral_triangle_1.jpg) |
Proposed
Problem 366.
Scalene triangle, Circumcircle, Angles, 60 Degrees, Equilateral triangle. |
![Circular sector 60 degrees](../problem/p365_circular_sector_60_17.jpg) |
Proposed
Problem 365.
Circular Sector of 60 degrees, Midpoints, Perpendicular, Congruence. |
![Triangle area, Circle, Curvilinear triangle](../problem/p364_triangle_area_17.jpg) |
Proposed
Problem 364.
Obtuse triangle, Congruence, Circles, Diameter, Curvilinear triangle, Area. |
![Special Right Triangle 30-60 Index](right_triangle_30_60_17.jpg) |
Special Right Triangle
30-60.
|
![Special right triangle 30 60](special_right_triangle_17.jpg) |
Special Right Triangles.
|
![Obtuse Triangle Index](obtuse_triangle_index_17.jpg) |
Obtuse Triangle. |
![Right triangle, Congruence, Angles](../problem/p363_right_triangle_17.jpg) |
Proposed
Problem 363.
Right triangle, Congruence, Angles. |
![Circle, Chord, Perpendicular](../problem/p362_circle_chord_17.jpg) |
Proposed
Problem 362.
Circle, Chord, Perpendicular, Equal chords. |
![Euclid's Elements Book I](euclid_book_i_word_cloud_17.jpg) |
Euclid's Elements Book I Word Cloud.
|
![Macheroni Constructions Index](mascheroni_index_1.jpg) |
Mascheroni
construction with compass alone. Index
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![Right triangle, Incircle, Angle](../problem/p361_right_triangle_circle_.jpg) |
Proposed
Problem 361.
Right triangle, Incircle, Incenter, Tangency points, Angle. |
![Area of Triangle, Circles, Diameters](../problem/p360_area_triangle_17.jpg) |
Proposed
Problem 360.
Area of a triangle, Curvilinear triangles, Circles, Diameters. |
![Cyclic quadrilateral, Rhombus](../problem/p359_cyclic_quadrilateral_1.jpg) |
Proposed
Problem 359.
Cyclic quadrilateral, Angle bisector, Rhombus. |
![Mascheroni Construction with compass alone](mascheroni_center_17.jpg) |
Mascheroni construction: Find the center of a circle with compass alone.
|
![Isosceles triangle 80 80 20](../problem/p358_triangle_80_80_20_17.jpg) |
Proposed
Problem 358.
Isosceles triangle 80-80-20, Circle, Angles, Congruence. |
![Euclid Elements Book X, Lemma for Proposition 33](euclid_book_x_33_17.jpg) |
Euclid's
Elements, Book X, Lemma for Proposition 33 One page visual illustration. |
![Square, Exterior point, Triangle, Area](../problem/p357_square_area_17.jpg) |
Proposed
Problem 357.
Square, Exterior point, Triangles, Area. |
![Square, Triangle, Area](../problem/p356_square_area_17.jpg) |
Proposed
Problem 356.
Square, Point inside, Triangles, Area. |
![Circles, Tangent, Concyclic points](../problem/p355_circle_concyclic_17.jpg) |
Proposed
Problem 355.
Circles, Common external tangent, Concyclic points. |
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Proposed
Problem 354.
Rhombus, Square, 45 degrees. |
![Tangential quadrilateral, Incircle, Inradius](../problem/p353_quadrilateral_circle_1.jpg) |
Proposed Problem
353.
Tangential quadrilateral, Diagonals, Incircles, Inradii. |
![Tangential quadrilateral](../problem/p352_tangential_quadrilater.jpg) |
Proposed Problem
352.
Tangential quadrilateral, Incircles, Common tangent, Circumscribable or Tangential quadrilateral. |
![Rhombus, Circumscribable quadrilateral](../problem/p351_tangential_quadrilater.jpg) |
Proposed Problem
351.
Rhombus, Incircles, Common tangent, Circumscribable or Tangential quadrilateral. |
![Triangle, Cevian, Incircles, Angles](../problem/p350_incircles_tangent_17.jpg) |
Proposed Problem
350.
Triangle, Cevian, Incircles, Tangents, Tangency Point, Angles. |
![Triangle, Cevian, Incircles](../problem/p349_incircles_tangent_17.jpg) |
Proposed Problem
349.
Triangle, Cevian, Incircles, Tangents, Tangency Point. |
![Common tangents](../problem/p348_common_tangent_17.jpg) |
Proposed Problem
348.
Circles, Common External Tangents, Common Internal Tangent. |
![Triangle, Altitude, Circle, Concyclic points](../problem/p347_triangle_circle_17.jpg) |
Proposed Problem
347.
Triangle, Altitude, Perpendicular, Circle, Concyclic points. |
![Geometry Problem: Equal circles, Tangents, Hexagon](../problem/p346_circle_tangent_17.jpg) |
Proposed Problem
346.
Equal circles, Tangents, Hexagon, Semiperimeter. |
![Geometry Problem: Equal circles, Tangents](../problem/p345_circle_tangent_17.jpg) |
Proposed Problem
345.
Equal circles, Tangents, Concurrent lines, Hexagon, Semiperimeter. |
![Quadrilateral, Circle, Tangent](../problem/p344_quadrilateral_circle_1.jpg) |
Proposed Problem
344.
Quadrilateral, Extension of sides, Circle, Tangent, Semiperimeter. |
![Hexagon, Inscribed Circle](../problem/p343_hexagon_circle_17.jpg) |
Proposed Problem
343.
Hexagon, Inscribed circle, Tangent, Semiperimeter. |
![Pentagon, Circle, Tangent,Semiperimeter](../problem/p342_pentagon_circle_17.jpg) |
Proposed Problem
342.
Pentagon, Inscribed circle, Tangent, Semiperimeter. |
![Triangle, inscribed circle, tangent](../problem/p341_triangle_circle_17.jpg) |
Proposed Problem
341.
Triangle, Inscribed circle, Tangent, Semiperimeter. |
![Triangle, Angle Bisectors](../problem/p340_triangle_bisectors_17.jpg) |
Proposed Problem
340.
Triangle, Angle Bisectors, Perpendiculars, Distances. Exterior Point. |
![Triangle, Angle Bisectors](../problem/p339_triangle_bisectors_17.jpg) |
Proposed Problem
339.
Triangle, Angle Bisectors, Perpendiculars, Distances. Interior Point. |
![Problem 338 concyclic points](../problem/p338_triangle_concyclic_17.jpg) |
Proposed Problem
338.
Triangle, Circumcircle, Inscribed Circle, Exterior angle bisector, Concyclic points. |
![Isosceles Trapezoid, Concyclic Points](../problem/p337_concyclic_trapezoid_17.jpg) |
Proposed Problem
337.
Isosceles Trapezoid, Angle bisector, Parallel, Concyclic points. |
![Tangent Circles Index](../circle/tangent_circles_index_17.jpg)
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Tangent Circles Index
|
![Tangent circles, Square](../problem/p336_tangent_circles_17.jpg) |
Proposed Problem
336.
Two equal circles, a Common Tangent and a Square. |
![Cyclic Quadrilateral, Perpendiculars to Sides](../problem/p335_cyclic_quadrilateral_1.jpg) |
Proposed Problem
335.
Cyclic Quadrilateral, Perpendiculars to Sides. |
![Problem 334 Cyclic Quadrilateral, Perpendiculars to Diagonals](../problem/p334_cyclic_quadrilateral_1.jpg) |
Proposed Problem
334.
Cyclic Quadrilateral, Perpendiculars to Diagonals. |
![Midpoint Theorems and Problems Index](midpoint_index_17.jpg) |
Midpoints.
Theorems and Problems |
![Circle and Inscribed Semicircle](../problem/p333_circle_semicircle_17.jpg) |
Proposed Problem
333.
Circle inscribed in a semicircle, Perpendicular to the common tangent. |
![Cyclic Quadrilateral Problem](../problem/p332_cyclic_quadrilateral_1.jpg) |
Proposed Problem
332.
Cyclic quadrilateral, Ratio of diagonals, Similarity. |
![Elearning 331 Square, Inscribed Circle](../problem/p331_square_circle_17.jpg) |
Proposed Problem
331.
Square, Point on the Inscribed Circle, Tangency Points. |
![Cyclic quadrilateral](../problem/p330_cyclic_quadrilateral_1.jpg) |
Proposed Problem
330.
Cyclic quadrilateral, Perpendicular diagonals, Area, Circumcenter. |
![Triangle, Altitudes, Concyclic Points](../problem/p329_triangle_altitude_17.jpg) |
Proposed Problem
329.
Triangle, Altitudes, Circle, Diameter, Concyclic points. |
![Triangle, Incircle, Parallel, Midpoint](../problem/p328_triangle_incircle_17.jpg) |
Proposed Problem
328.
Triangle, Incircle, Tangency Points, Parallel, Midpoint. |
![Tangential Quadrilateral](tangential_quadrilateral_2_.jpg) |
Tangential or Circumscribed Quadrilateral:
Diagonals, Altitudes Theorem. |
![Right triangle Area, Semicircle, Square](../problem/p327_right_triangle_area_17.jpg) |
Proposed Problem
327.
Right triangle Area, Incircle, Circumcircle, Square. |
![Equilateral triangle and semicircle](../problem/p326_equilateral_triangle_1.jpg) |
Proposed Problem
326.
Equilateral triangle, Semicircle, Equal arcs. |
![Tangential Quadrilateral](tangential_quadrilateral_1_.jpg) |
Tangential or Circumscribed Quadrilateral:
Diagonals, Inradii Theorem. |
![Tangential or Circumscribed Quadrilateral Index, theorems and problems](tangential_quadrilateral_17.jpg) |
Tangential
or Circumscribed Quadrilateral
|
![Six Tangential Quadrilaterals Theorem](six_quadrilateral_17.jpg) |
Six Tangential or Circumscribed Quadrilaterals Theorem. |
![Tangential Quadrilateral: Pitot Theorem](pitot_theorem_17.jpg) |
Tangential or Circumscribed Quadrilateral:
Pitot Theorem. |
![Isosceles triangle, Altitude, Incircle, Excircle](../problem/p325_triangle_altitude_17.jpg) |
Proposed Problem
325.
Isosceles triangle, Altitude, Cevian, Incircle, Excircle. |
![Elearning 324: Quadrilateral](../problem/p324_quadrilateral_concurre.jpg) |
Proposed Problem
324.
Quadrilateral with perpendicular diagonals, Concurrence. |
![Altitude of a triangle](altitude_triangle_17.jpg) |
Altitude Index.
Theorems and Problems. |
![Triangle, Incenter, Circumcenter, Collinear](../problem/p323_triangle_collinear_17.jpg) |
Proposed Problem
323.
Triangle, Incenter, Circumcenter, Equal circles, Collinearity. |
![Area of a triangle](../problem/p322_triangle_area_17.jpg) |
Proposed Problem
322.
Square, Inscribed circle, Tangent, Triangle area. |
![Collinear Points Index](collinear_points_index.jpg) |
Collinear Points. |
![Incenter, Incircle, Index](../center/incenter_incircle_17.jpg) |
Incenter.
Index.
|
![Triangle, Circumcenter, Incenter, Excenter, Collinear](../problem/p320_triangle_incenter_17.jpg) |
Proposed Problem
320.
Triangle, Circumcircle, Incenter, Excenter, Collinear points. |
![Triangle, Altitude](../problem/p319_triangle_altitudes_17.jpg) |
Proposed Problem
319.
Triangle, Altitudes, Perpendiculars, Collinear points. |
![Elearning 318](../problem/p318_triangle_squares_17.jpg) |
Proposed Problem
318.
A Scalene triangle, Altitudes, Collinear points. |
![Elearning 317 Right triangle](../problem/p317_triangle_squares_17.jpg) |
Proposed Problem
317.
Right triangle and Inscribed Squares. |
![Circular Segments, Inscribed Squares](../problem/p316_circle_squares_17.jpg) |
Proposed Problem
316.
Circular segments and Inscribed Squares. |
![Three Tangent Circles](../problem/p315_tangent_circles_17.jpg) |
Proposed Problem
315.
Three
Tangent circles, Common external tangent line, Geometric Mean. |
![Polygons Index](polygons_index_17.jpg) |
Polygons. |
|
Proposed Problem 287:
Regular Octagon. |
![Octagon Index](octagon_index_17.jpg) |
Octagons. |
![Octagon, Square](../problem/p286_square_octagon_17.jpg) |
Proposed Problem 286:
Square, Midpoints, Octagon. |
![Circula Sector, Semicircles, Circle](../problem/p285_circular_sector_17.jpg) |
Proposed Problem 285: Circular Sector 90 degrees, Semicircles, Circle, Tangent, Radius. |
![Elearning 284: Circular Sector](../problem/p284_circular_sector_17.jpg) |
Proposed Problem 284: Circular Sector 90 degrees, Semicircles, Tangent, Radius. |
![Circular Sector](../problem/p283_circular_sector_17.jpg) |
Proposed Problem
283: Circular Sector 90 degrees, Semicircle, Circle inscribed, Radius. |
![Right triangle, Cevian, Perpendicular, Angles](../problem/p282_right_triangle_17.jpg) |
Proposed Problem
282.
Right Triangle, Cevian, Angles, Perpendicular, Congruence. |