Matematik med Desmos
lavet af Per Henrik Christiansen
lørdag den 13. august 2022
Top 10.474
a / b = √ ( R / ( R + R₁ ) )
Angle CFE = 90°
Angle ABE = 15°
Missing Angle ACS = 45°
Mathematical Proof
Parametric & Cartesian Circle Graphs
Intersection between 2 lines
Angle BDC = 132°
OP / BP = 1.09907101153
Ratio of AB / AD = 1 : 1
torsdag den 11. august 2022
Top 10.473
Isosceles Triangle
tan X = 26.9883285248
Yellow = 0.134753021113
X = FEG = 10
Yellow = 15 Square Units
Red : Green : Blue = 4 : 5 : 3
Triangle ABC Perimeter = 50
cos GEH = 0.25 = 1 / 4
tan CED = 1 / 2 = 0.5
NEW: R = 5.03322295685
Radius R = 5.03322295685
mandag den 8. august 2022
Top 10.472
Elaborated: BE = 1.61803398875
BE = 1.61803398875
Fraction = 2.2360679775
w = l sin 45 ⇒ Red : Blue = 1
X = 9
AB Squared = 250
X + Y = 10.0902485737
X = 3
Shaded Fraction = 3 / 5 = 0.6
X = 2.2360679775 = √ 5
X = 7
lørdag den 6. august 2022
Top 10.471
X = ACB = 22.5°
Square Root Five
Length of Red Segment = 3
Line Segment CE = 5
Blue Area = 16.8337520964
Proof that R = R₁ ⋅ √ 2
Radius R = 5
Simplified: Radius R = 5
AC = 15.0996688705
Ratio of Blue : Yellow = 7
Blue Fraction = 5 / 11
torsdag den 4. august 2022
Top 10.470
Blue Area = 26 Square Units
Red : Green = Blue : Yellow
𝛼 = 30 Square Units
Segment AB = 12
Ratio of Red : Green = 1 / 2
X = BCD = 15°
Ratio of Green / Magenta = 1
X = DH = 3
Simplified: Blue Area = 13 Square Units
Blue Area = 13 Square Units
Mathematical Proof
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