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7/30/2019 On Interesting Mathematics
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MAKING LEARNING MATHS INTERESTING
. APPEALING TO DIFFERENT LEARNING STYLESAND MODALITIES
HEART EXPRESSES ITSELF IN MANY WAYS
SERIOUS MATHEMATICAL EQUATIONS IS ONEOF THEM
PROOFS OF PYTHAGORAS THEOREM
APPLICATIONS OF PYTHAGORAS THEOREM .
EXTENSIONS OF PYTHAGORAS THEOREM .
SYMBOLS FROM MATHEMATICS
7/30/2019 On Interesting Mathematics
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HEART EXPRESSES ITSELF IN MANY WAYS
SERIOUS MATHEMATICAL EQUATIONS IS ONE OF
THEM
A heart surface has
several singularities,
including a sharp point
at the bottom and adeep indentation at the
top. Here's Taubin's
equation for a three-
dimensional algebraicheart: (x2 + (1.5)2y2 + z2
1)3x2z3 (1.5)2/20
y2z3 = 0.
7/30/2019 On Interesting Mathematics
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DOES ALGEBRA HAVE A
HEART Maths leads to many a
heartbreak. However the
love of mathematics is not
as rare as thought . In an
age where many work on
mathematics of love , the
love of mathematics is still
there in many a heart.
7/30/2019 On Interesting Mathematics
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SQUARES AND
SEMICIRCLES In the simplest case, a
heart is formed by asquare standing on its
point and two semi-circles sitting on thesides. Characteristicsof the heart figure
obviously are a grooveabove and a point
below.
7/30/2019 On Interesting Mathematics
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SEMICIRCLES AND CIRCLES
If the point below is
missing then don't speak
of a heart but rather of a
heart shaped figure. This
form, however, is more
similar to the human
heart. The figure on the
left is formed by threesemi-circles.
7/30/2019 On Interesting Mathematics
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SEMICIRCLES ON
ISOSCELES TRIANGLE Draw an isosceles triangle.
Draw the perpendiculars
to the legs.
They produce a second
isosceles triangle.
Draw two semi-circles
upon the legs of the (now
yellow) triangle
7/30/2019 On Interesting Mathematics
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TESSELLATIONS OF HEARTS
7/30/2019 On Interesting Mathematics
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LOVE TRIANGLE
7/30/2019 On Interesting Mathematics
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HEART BREAK TO HEART
THROB
7/30/2019 On Interesting Mathematics
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IS THAT A PYTHAGORAS THEOREM THAT I SEE
BEFORE ME
7/30/2019 On Interesting Mathematics
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PYTHAGORAS THEOREM
The Pythagorean
Theorem states that
for a right trianglewith legs a and b
and hypotenuse c,
we have the
PythagoreanEquation
: a2 + b2 = c2
7/30/2019 On Interesting Mathematics
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EXTENSION OF PYTHAGORAS THEOREM TO
POLYGONS
If 3 regular polygons(triangles, pentagons,hexagons, etc.) are
constructed using a andb and hypotenuse c,respectively, as thecommon sides of thethree polygons. And
still, the sum of theareas of the figuresdrawn on the two legsis equal to the area ofthe figure drawn on
the hypotenuse
7/30/2019 On Interesting Mathematics
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EXTENSION OF PYTHAGORAS THEOREM TO
CIRCLES
The sum of the
areas of the circles
drawn on the twolegs is equal to the
area of the circle
drawn on the
hypotenuse
7/30/2019 On Interesting Mathematics
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7/30/2019 On Interesting Mathematics
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MANIPULATIVES FOR TEACHING
PYTHAGORAS THEOREM
MANIPULATIVES
7/30/2019 On Interesting Mathematics
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MANIPULATIVES FOR TEACHING
PYTHAGORAS THEOREM
7/30/2019 On Interesting Mathematics
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Wave Structure of Matter and
Pythagoras' theorem Pythagoras' Theorem has been known for about 2,500
years. In that time it has been proven as logically true inmany different ways. Significantly though, until recently
humanity has not understood the metaphysics behind ourperceptions of reality that would enable us to show whyPythagoras' theorem is true. With knowledge of theSpherical Standing Wave Structure of Matter (WSM) inAbsolute Space we can now explain why Matter interacts
Spherically, and thus why Pythagoras' Theorem is true.This also enables us to better understand why AlbertEinstein used Pythagoras' Theorem as the foundation forhis metric equations of Special Relativity