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開始行:
*Kepler triangle [#l93be9d6]
A Kepler triangle is a right triangle with edge lengths i...
φ=(1+√5)/2
and can be written: 1:√φ:φ , or approximately 1 : 1.2720...
#ref(kepler1.JPG)
*解説 [#oba6cf7b]
Triangles with such ratios are named after the German mat...
*導出 Derivation [#g99e071b]
The fact that a triangle with edges 1, √φ and , φ forms ...
φ^2=φ+1
into Pythagorean form:
(φ)^2 = (√φ)^2 + (1)^2
-直角三角形(right triangle)において,hypotenuseは「斜辺」...
-アルキメデスの定理
"The length of the hypotenuse of the right triangle is eq...
Assuming that the lengths of the other two sides are 8 [c...
*作図方法 [#q5f4ecd3]
A Kepler triangle can be constructed with only straighted...
--Construct a simple square
--Draw a line from the midpoint of one side of the square...
--Use that line as the radius to draw an arc that defines...
--Complete the golden rectangle
--Use the longer side of the golden rectangle to draw an ...
Kepler constructed it differently. In a letter to his for...
#ref(kepler2.JPG)
*Golden Rectangle with Golden Spiral [#j5b904d9]
#ref(Golden Rectangle with Golden Spiral.JPG)
終了行:
*Kepler triangle [#l93be9d6]
A Kepler triangle is a right triangle with edge lengths i...
φ=(1+√5)/2
and can be written: 1:√φ:φ , or approximately 1 : 1.2720...
#ref(kepler1.JPG)
*解説 [#oba6cf7b]
Triangles with such ratios are named after the German mat...
*導出 Derivation [#g99e071b]
The fact that a triangle with edges 1, √φ and , φ forms ...
φ^2=φ+1
into Pythagorean form:
(φ)^2 = (√φ)^2 + (1)^2
-直角三角形(right triangle)において,hypotenuseは「斜辺」...
-アルキメデスの定理
"The length of the hypotenuse of the right triangle is eq...
Assuming that the lengths of the other two sides are 8 [c...
*作図方法 [#q5f4ecd3]
A Kepler triangle can be constructed with only straighted...
--Construct a simple square
--Draw a line from the midpoint of one side of the square...
--Use that line as the radius to draw an arc that defines...
--Complete the golden rectangle
--Use the longer side of the golden rectangle to draw an ...
Kepler constructed it differently. In a letter to his for...
#ref(kepler2.JPG)
*Golden Rectangle with Golden Spiral [#j5b904d9]
#ref(Golden Rectangle with Golden Spiral.JPG)
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