The How and the Why
eBook - PDF

The How and the Why

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

The How and the Why

About this book

The description for this book, The How and the Why, will be forthcoming.

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Yes, you can access The How and the Why by David Park in PDF and/or ePUB format, as well as other popular books in History & Science History. We have over one million books available in our catalogue for you to explore.
i
4
CHAPTER
I
Cy
\
a
/
a
h
,
a,
\
a 
s'
The
ufhole
area
is
C
2
Hove 
turn 
triangles
CL
y
CL
e 
cjfiole 
area
is
CL
Z
-*-
b
z
FIGURE
1.2.
Simple 
constructive 
proof
of 
the
Pythagorean 
theorem.
proof 
exhibited.
The
theorem
was
known
in
China
at
about
the
time
of
Pythagoras,
and 
a
proof 
resembling
the 
one
given 
here 
appears
in 
the
Chinese 
classic
Chou
Pei
Suan 
Ching
(The
Arithmetical 
Classic
of 
the
Gnomon
and 
the
Circular 
Paths
of
Heaven; 
see 
Needham 
1954, 
vol.
3,
p.
22).
Like 
the 
Babylonians,
the
Chinese
did 
not
ordinarily 
pay 
much 
atten-
tion
to 
proof, 
and
neither 
developed 
a 
body
of
mathematics
in
the 
system-
atic
way,
setting 
down 
definitions
and
axioms
and
requiring 
that
one
proof 
stand
on 
the
shoulders
of
another.
It
seems 
that 
interest
in 
the
process
of 
proof, 
in
logic
as 
in
mathematics, 
began
in 
the
Greek 
world
and
for 
a
long 
time 
flourished 
nowhere 
else.
The 
Pythagorean 
relation
is 
not
restricted
to
integers,
of
course.
Con-

Table of contents

  1. Cover Page
  2. Half-title Page
  3. Title Page
  4. Copyright Page
  5. Dedication Page
  6. Contents
  7. List of Illustrations
  8. List of Tables
  9. Acknowledgments
  10. Note on References
  11. Introduction
  12. Chapter 1: What Is the World?
  13. Chapter 2: How Is It Built?
  14. Chapter 3: How Should We Think About It?
  15. Chapter 4: The Sky Is a Machine
  16. Chapter 5: The Christian Cosmos
  17. Chapter 6: What Are These Things I See?
  18. Chapter 7: The Wider Shores of Knowledge
  19. Chapter 8: Illumination
  20. Chapter 9: The Spheres Are Broken
  21. Chapter 10: Influences
  22. Chapter 11: They Move According to Number
  23. Chapter 12: Time, Space, and Form
  24. Chapter 13: A World of Bronze and Marble
  25. Chapter 14: Two Theories of Relativity
  26. Chapter 15: Very Small and Far Away
  27. Chapter 16: Does It Make Sense?
  28. Chapter 17: Moving Down the Scale
  29. Chapter 18: And Now the Universe
  30. Chapter 19: Order and Law
  31. Note A: Hero's Principle
  32. Note B: Fermat's Principle
  33. Note C: Newton's Theorem
  34. Note D: Calculation of the Moon's Period
  35. Note E: The Law of Areas
  36. Note F: Elliptical Orbits
  37. Note G: Derivation of Young's Formula
  38. Note H: Of Time and the River
  39. Note I: The Mass of a Moving Object
  40. Note J: The Two-Slit Experiment in Quantum Mechanics
  41. Note K: Quantum Correlations That Suggest Action at a Distance
  42. Note L: The Troublesome Question of How Things Look
  43. Note M: Theory of the Expanding Universe
  44. Bibliography
  45. Index