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綱要
Proof without word
Proof without word: Area of an Arbelos
Proof without word: Area of a regular dodecagon
Lunes aorund a square (2)
Proof without word: r +r(1-r) + r(1-r)² +.....=?
Proof without word: serie of1/2
Proof without word : Pythagore
Path on half circle or on n half circles?
Proof without words: 1/4 +(1/4)² +.... = ?
Proof without words: 1/x and ln
Pythagora's puzzle
cos²x +sin²x =1 (Pythagora in the unit Circle)
Area of the parallelogram
Pythagora by water
Proof without words: Integral of sin(x) between 0 and pi/2
Cosine and sine subtraction formulas
Cosine and sine addition formulas
Haga's Theorem
Sum of interior angles of a polygon
Arithmetic mean vs geometric mean (proof without word)
sin(a+b)= sina cosb+ sinb cosa (addition formula)
Sum of 7 consecutive intergers
The derivative of ln(x) is ........
Sine and cosine are out of phase by 90 °
Proof without words: Mid segments in a triangle
Proof without words : relationship two between arctan
Proof without words: Relationship between arctan
Proof without words : Steiner'ellipse of a triangle
Proof without words: Median to hypotenuse
Proof without words : the derivative of sinus function
Area of the circle by the triangle or the rectangle
Proof without words : Metric relations (2)
Proof wihout words : metric relation (1)
Proof without words : Area of a parallelogramm
Proof without words : Sum of the first n integer numbers
Proof without words : Sum of alternate squares
Proof without word : x²+ax= (x+a/2)²-(a/2)²
Proof without word 4ab = (a+b)²-(a-b)²
Relation between pentagonal and triangular numbers
Proof without word : Sum of the odd numbers
Catenary vs Parabola
Proof without words: Odd number and squared numbres
Proof without words: Intersecting chords theorem
Proof without words: Law of cosinus
Proof without words: Tangent theoreme
Proof in a few words: metric relationships
The sum of the angles of a quadrilateral
Proof without words : Sum of external angles of a polygon
Law of cosine in visual
Pythagore with regular polygons
Proof without words with Fibonacci numbers
Proof without words: Viviani theorem by the areas of the triangle
Proof without words (or very few words): volume of the sphere
Proof without words : 1/2 + 1/4 + 1/8 +..... = 1
Proof without words : Area of a parallelogram
Proof without words : Area of the triangle
Proof without words : Sum of the square
Proof without words: The third power sum
Area of regular polygons
Proof without words : difference a^3 - b^3
Proof without words: volume of a pyramide
Proof without words :Sum of the cube
Proof without word: arithmetic sequences
(a + b +c )²=a²+b²+c²+2ab+2ac+2bc
(a +b) (a -b)
(a - b)²
(a+b)²=a²+2ab+b²
Distributivity
Smilog: properties of the logarithms (1)
Area of a triangle (acute or obtuse)
Puzzle for the unit cube
Law of cosine : proof without words
Unwinding the Theodorus spiral
Area of the cycloid by Mamikon
Area and perimeter of a triangle
Serie of cubes
Pythagore: a²+=b²+c² (proofs serie 1)
Pythagora theorem (proofs serie 2)
Proof without word
作者:
Daniel Mentrard
主題:
加法
,
代數
,
面積
,
算術
,
餘弦
,
立方(體)
,
導數
,
正三角形
,
一般四邊形
,
幾何
,
內切圓
,
整數
,
等腰三角形
,
線段
,
數學
,
數
,
周長
,
多邊形
,
角錐
,
四邊形
,
矩形
,
菱形
,
Sequences and Series
,
正弦
,
3D 立體形
,
正方形
,
表面
,
幾何變換
,
三角形
,
三角學
,
體積
Proof without word: Area of an Arbelos
Proof without word: Area of a regular dodecagon
Lunes aorund a square (2)
Proof without word: r +r(1-r) + r(1-r)² +.....=?
Proof without word: serie of1/2
Proof without word : Pythagore
Path on half circle or on n half circles?
Proof without words: 1/4 +(1/4)² +.... = ?
Proof without words: 1/x and ln
Pythagora's puzzle
cos²x +sin²x =1 (Pythagora in the unit Circle)
Area of the parallelogram
Pythagora by water
Proof without words: Integral of sin(x) between 0 and pi/2
Cosine and sine subtraction formulas
Cosine and sine addition formulas
Haga's Theorem
Sum of interior angles of a polygon
Arithmetic mean vs geometric mean (proof without word)
sin(a+b)= sina cosb+ sinb cosa (addition formula)
Sum of 7 consecutive intergers
The derivative of ln(x) is ........
Sine and cosine are out of phase by 90 °
Proof without words: Mid segments in a triangle
Proof without words : relationship two between arctan
Proof without words: Relationship between arctan
Proof without words : Steiner'ellipse of a triangle
Proof without words: Median to hypotenuse
Proof without words : the derivative of sinus function
Area of the circle by the triangle or the rectangle
Proof without words : Metric relations (2)
Proof wihout words : metric relation (1)
Proof without words : Area of a parallelogramm
Proof without words : Sum of the first n integer numbers
Proof without words : Sum of alternate squares
Proof without word : x²+ax= (x+a/2)²-(a/2)²
Proof without word 4ab = (a+b)²-(a-b)²
Relation between pentagonal and triangular numbers
Proof without word : Sum of the odd numbers
Catenary vs Parabola
Proof without words: Odd number and squared numbres
Proof without words: Intersecting chords theorem
Proof without words: Law of cosinus
Proof without words: Tangent theoreme
Proof in a few words: metric relationships
The sum of the angles of a quadrilateral
Proof without words : Sum of external angles of a polygon
Law of cosine in visual
Pythagore with regular polygons
Proof without words with Fibonacci numbers
Proof without words: Viviani theorem by the areas of the triangle
Proof without words (or very few words): volume of the sphere
Proof without words : 1/2 + 1/4 + 1/8 +..... = 1
Proof without words : Area of a parallelogram
Proof without words : Area of the triangle
Proof without words : Sum of the square
Proof without words: The third power sum
Area of regular polygons
Proof without words : difference a^3 - b^3
Proof without words: volume of a pyramide
Proof without words :Sum of the cube
Proof without word: arithmetic sequences
(a + b +c )²=a²+b²+c²+2ab+2ac+2bc
(a +b) (a -b)
(a - b)²
(a+b)²=a²+2ab+b²
Distributivity
Smilog: properties of the logarithms (1)
Area of a triangle (acute or obtuse)
Puzzle for the unit cube
Law of cosine : proof without words
Unwinding the Theodorus spiral
Area of the cycloid by Mamikon
Area and perimeter of a triangle
Serie of cubes
Pythagore: a²+=b²+c² (proofs serie 1)
Pythagora theorem (proofs serie 2)
下一步
Proof without word: Area of an Arbelos
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