Algebra
46 videos • 5,572 views • by Mathematical Visual Proofs
1
An Algebraic Areas Identity (visual proof)
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2
x + 1/x is greater than or equal to 2 when x is positive (visual proof)
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3
x plus 1/x is greater than or equal to 2 when x is positive III (visual proof)
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4
What's the area of this square inside a square? (visual proof)
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5
Completing The Square via the Difference of Squares (visual proof)
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6
Completing the Square (visual proof)
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7
Visual Proof of AM-GM Inequality I
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8
Mediant Inequality II (visual proof)
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9
Approximating Pi with Gregory's Theorem (visual proof for Pi day)
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10
Golden Ratio Visual Computation
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11
Point Line Distance Formula (visual proof)
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12
AM-GM Inequality IV (visual proof)
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13
Folding the AM-GM Inequality V (quick visual proof)
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14
Dividing a Circle into Seven Equal Areas (visual proof)
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15
Odd Magic Squares from a Knight's Move (synthwave enumeration)
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16
Area Between Three Mutually Tangent Unit Circles? (visual proof)
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17
Which is Larger: Four Lunes vs. Inscribed Square (visual proof)
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18
AM-GM Inequality VI (visual proof)
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19
Triangle Area from Inradius and Semiperimeter (visual proof)
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20
Products of Odd Squares and Triangular Numbers (visual proof - updated version)
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21
Don't use FOIL! (distributive property area model visualization)
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22
Product of Four Numbers in Arithmetic Progression is Difference of Squares (visual proof)
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23
Factor a Sum of two Squares (visual proof)
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24
Olympiad Right Triangle Inequality (Canada 1969 - visual proof)
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25
Completing the Square Visually
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26
Visual irrationality proofs from the carpets theorem (root 2 and root 3)
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27
What’s the difference of two squares?
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28
What's this infinite sum?
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29
Candido's Identity (visual animated proof without words)
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30
Factor a Sum of Two Cubes (visual proof without words)
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31
Factor a Difference of Two Cubes! (visual proof without words)
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32
Golden ratio!
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33
Factoring a difference of cubes
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34
Adding powers of 1/2
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35
Arithmetic Mean-Root Mean Square Inequality (visual proof)
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36
Visual Cauchy-Schwarz Inequality
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37
Finite Geometric Sum Formula
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38
Factor a sum of cubes
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39
Four Triangles: Which is Largest? (visual proof)
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40
Sums of Oblong Numbers III (visual proof without words)
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41
Ten Epic Pythagorean Proofs Without Words
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42
Divide pizza into 7 using only straightedge and compass
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43
Cauchy-Bunyakovsky-Schwarz Inequality II (visual proof)
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44
Difference Squares II (proof without words)
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45
Diophantus's Sum of Squares Identity I (visual proof)
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46
AM-GM Inequality via negative space
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