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

Geometry Problem
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Complete Problem 488

Level: High School, SAT Prep, College geometry

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

Geometry Problem
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Complete Problem 487

Level: High School, SAT Prep, College geometry

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

Geometry Problem
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Complete Problem 486

Level: High School, SAT Prep, College geometry

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

Geometry Problem
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Complete Problem 485

Level: High School, SAT Prep, College geometry

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

Geometry Problem
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Complete Problem 484

Level: High School, SAT Prep, College geometry

Problem 483: Square, Angle, 90 degrees, Triangle, Measurement

Geometry Problem
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Complete Problem 483

Level: High School, SAT Prep, College geometry

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

Geometry Problem
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Complete Problem 482

Level: High School, SAT Prep, College geometry

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

Geometry Problem
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Complete Problem 481

Level: High School, SAT Prep, College geometry

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

Geometry Problem
Click the figure below to see problems 61-70 about Triangle, Trisection, Transversal, Square, Heptagon, Diagonal, Circle, Incircle, Midpoint, Right triangle, Tangent, Geometric mean, Cyclic quadrilateral, Area, Angle, Similarity.


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Problems 61-70

Level: High School, SAT Prep, College geometry

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

Geometry Problem
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Complete Problem 480

Level: High School, SAT Prep, College geometry

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

Geometry Problem
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Complete Problem 479

Level: High School, SAT Prep, College geometry

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

Geometry Problem
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Complete Problem 478

Level: High School, SAT Prep, College geometry

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

Geometry Problem
Click the figure below to see problems 51-60 about Triangle, Quadrilateral, Circle, Cyclic Quadrilateral, Angle.


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Problems 51-60

Level: High School, SAT Prep, College geometry

Problem 477: Parallelogram, Triangle, Quadrilateral, Area

Geometry Problem
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Complete Problem 477

Level: High School, SAT Prep, College geometry

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

Geometry Problem
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Problems 41-50

Level: High School, SAT Prep, College geometry

Problem 476: Triangle, Circumcenter, Circumcircle, Angles

Geometry Problem
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Complete Problem 476

Level: High School, SAT Prep, College geometry

Problem 475: Tangent Circles, Secant, Tangent, Parallel

Geometry Problem
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Complete Problem 475

Level: High School, SAT Prep, College geometry

Problem 474: Parallelogram, Diagonal, Circle, Vertex

Geometry Problem
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Complete Problem 474

Level: High School, SAT Prep, College geometry

The Inca Trail - Index

The Inca road system was the most extensive and highly advanced transportation system in pre-Columbian South America.
Click the figure below to see the index. See also: The Inca Trail

Geometry Problems 31-40 Triangle, Cuadrilateral

Geometry Problem
Click the figure below to see problems 31-40 about Triangle, Quadrilateral, Incenter, Orthocenter, Circle, Congruence, Collinearity.


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Problems 31-40

Level: High School, SAT Prep, College geometry

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

Geometry Problem
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Complete Problem 473

Level: High School, SAT Prep, College geometry

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

Geometry Problem
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Problems 21-30

Level: High School, SAT Prep, College geometry

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

Geometry Problem
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Complete Problem 472

Level: High School, SAT Prep, College geometry

Geometry Problems 11-20: Angle, Triangle, Altitude, Median, Congruence, Circle

Geometry Problem
Click the figure below to see problems 11-20 about Angle, Angle bisector, Triangle, Altitude, Median, Congruence, Cevian, Circle, Excircle, Excenter, Inradius, Exradius.


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Problems 11-20

Level: High School, SAT Prep, College geometry

Geometry Problems 1-10: Angle, Triangle, Congruence, 20, 30, 45, 60, 80, 120 degrees

Geometry Problem
Click the figure below to see problems 1-10 about Angle, Triangle, Congruence, 20, 30, 45, 60, 80, 120 degrees, median, cevian.


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Problems 1-10

Level: High School, SAT Prep, College geometry

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

Geometry Problem
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Complete Problem 471

Level: High School, SAT Prep, College geometry

Problem 470: Triangle, Parallel, Parallelogram, Area, Similarity

Geometry Problem
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Complete Problem 470

Level: High School, SAT Prep, College geometry

Problem 469: Isosceles triangle, Midpoint, Transversal, Congruence

Geometry Problem
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Complete Problem 469

Level: High School, SAT Prep, College geometry

Hendrick Avercamp: Winter Landscape with Iceskaters

Golden Rectangle
c. 1608; Oil on panel, 87.5 x 132 cm.Location: Rijksmuseum, Amsterdam, Netherlands.

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Hendrick Avercamp: Winter Landscape with Iceskaters

Giuseppe Arcimboldo: The Fire

Golden Rectangle
Giuseppe Arcimboldo 1566: The Fire, Oil on Wood, 66,5 x 50,8 cm
Location :Kunsthistorisches Museum, Vienna.

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Giuseppe Arcimboldo 1566: The Fire

Albrecht Altdorfer: The Battle of Alexander at Issus & Golden Rectangle

Golden Rectangle
The Battle of Alexander at Issus is a 1529 oil painting by the German artist Albrecht Altdorfer (c. 1480–1538), a pioneer of landscape art and a founding member of the Danube school. The Battle of Alexander at Issus is in the Alte Pinakothek art museum in Munich.

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Albrecht Altdorfer: The Battle of Alexander at Issus

Duke of Lerma by Peter Paul Rubens and the Golden Rectangle

Golden Rectangle
Peter Paul Rubens (1577 - 1640). Flemish painter, draughtsman and diplomat. He was the most versatile and influential Baroque artist of northern Europe in the 17th century. He is well-known for his Counter-Reformation altarpieces, portraits, landscapes, and history paintings of mythological and allegorical subjects.

Equestrian Portrait of the Duke of Lerma
Made in 1603, during Rubens' first visit to Spain, this work shows the power and vigor of portraits from his first period, and his capacity to capture the model's personality. Here he reflects the haughtiness and pride of the Duke's powerful political situation. Source: Museo del Prado.

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Duke of Lerma by Peter Paul Rubens and the Golden Rectangle

Prometheus Bound by Peter Paul Rubens

Golden Rectangle
Peter Paul Rubens (1577 - 1640). Flemish painter, draughtsman and diplomat. He was the most versatile and influential Baroque artist of northern Europe in the 17th century. He is well-known for his Counter-Reformation altarpieces, portraits, landscapes, and history paintings of mythological and allegorical subjects.

Prometheus Bound (1611-12)
Peter Paul Rubens kept this enormous painting of Prometheus Bound in his personal collection for several years and in a letter of 1618 described it as one of his most important creations. Source: Philadelphia Museum of Art.

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Prometheus Bound by Peter Paul

Poincaré Conjecture - Index

Grigory Perelman Solves Poincaré Conjecture, Declines $1 Million Prize.
A reclusive Russian mathematician solved one of the world's most difficult math problems. But now that he has been offered a $1 million prize for his solution, he is declining to accept the award.

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The Poincaré Conjecture Index