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

Geometry Problem
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Complete Problem 533

Level: High School, SAT Prep, College geometry

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

If two triangles have the two sides equal to two sides respectively, and have also the base equal to the base, they will also have the angles equal which are contained by the equal straight lines.
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Euclid's Elements Book I, Proposition 8

Euclid's Elements Book I, Proposition 7

Given two straight lines constructed on a straight line (from its extremities) and meeting in a point, there cannot be constructed on the same straight line (from its extremities), and on the same side of it, two other straight lines meeting in another point and equal to the former two respectively, namely each to that has the same extremity with it.
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Euclid's Elements Book I, Proposition 7

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

In isosceles triangles the angles at the base are equal to one another, and, if the equal straight lines are produced further, then the angles under the base will be equal to one another.
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Euclid's Elements Book I, Proposition 5

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
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Euclid's Elements Book I, Proposition 3

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
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Euclid's Elements Book I, Proposition 2

Euclid's Elements Book I, Proposition 1

On a given finite line to construct an equilateral triangle
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Euclid's Elements Book I, Proposition 1

Puzzle: Euclid's Elements Book I, 23 Definitions

Interactive Puzzle
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Puzzle: Euclid's Elements Book I, 23 Definitions

Euclid's Elements Book IV Word Cloud

Weighted list in visual design.
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Euclid's Elements Book IV Word Cloud

Euclid's Elements Book III Word Cloud

Weighted list in visual design.
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Euclid's Elements Book III Word Cloud

Euclid's Elements Book II Word Cloud

Weighted list in visual design.
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Euclid's Elements Book II Word Cloud

Euclid's Elements Book I Word Cloud

Weighted list in visual design.
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Euclid's Elements Book I Word Cloud

Euclid's Elements Book X, Lemma for Proposition 33

Right triangle, Altitude, and Rectangles

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Euclid's Elements Book X, Lemma for Proposition 33.
Euclid's Elements Index.
Geometry Index

Level: High School, SAT Prep, College geometry

Euclid's Elements

Index

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Euclid's Elements Index.
Geometry Index

Level: High School, SAT Prep, College geometry

Euclid's Elements Book I, Proposition 9

To bisect a given angle




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gogeometry.com/geometry/euclid_elements_book_i_9_bisect_angle.htm

Problem 249. Triangle sides, medians, squares

Proposed Problem


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gogeometry.com/problem/p249_triangle_sides_medians_squares.htm

Level: High School, SAT Prep, College geometry

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Euclid's Elements Book II, Proposition 13: Law of Cosines

Acute Triangle


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Level: High School, SAT Prep, College geometry

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Euclid's Elements Book II, Proposition 12: Law of Cosines.

Obtuse Triangle


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gogeometry.com/geometry/euclid_elements_book_ii_proposition_12_cosines_law.htm

Level: High School, SAT Prep, College geometry

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