"Inspiration is needed in geometry, just as much as in poetry."
Alexander Pushkin
"Nobody untrained in geometry may enter my
house."
Albrecht Durer
Albrecht Durer
"Everything one invents is true, you may be
perfectly sure of that. Poetry is as precise as geometry."
Arthur Cayley
Arthur Cayley
"Music is the arithmetic of sounds as optics
is the geometry of light."
Joseph J Sylvester (1814 to 1897)
Joseph J Sylvester (1814 to 1897)
"There is geometry in the humming of the
strings, there is music in the spacing of the spheres."
Carl Friedrish (1777 to 1855)
Carl Friedrish (1777 to 1855)
"It is hard to convince a high-school student
that he will encounter a lot of problems more difficult than those of algebra
and geometry."
Farkas Bolyai (1775 to 1856)
Farkas Bolyai (1775 to 1856)
"There are no sects in geometry."
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"And since geometry is the right foundation of
all painting, I have decided to teach its rudiments and principles to all
youngsters eager for art."
Jose Saramago
Jose Saramago
"Poetry is as exact a science as
geometry."
Pythagoras
Pythagoras
"A straight line is shortest in morals as well
as in geometry."
Archimedes
Archimedes
"The cowboys have a way of
trussing up a steer or a pugnacious bronco which fixes the brute so that it can
neither move nor think. This is the hog-tie, and it is what Euclid did to
geometry."
Bernard de Fontenelle
Bernard de Fontenelle
"Crystals grew inside rock
like arithmetic flowers. They lengthened and spread, added plane to plane in an
awed and perfect obedience to an absolute geometry that even stones -- maybe
only the stones -- understood."
Carl Friedrish
Carl Friedrish
"The two elements the
traveler first captures in the big city are extrahuman architecture and furious
rhythm. Geometry and anguish."
Augustus De Morgan
Augustus De Morgan
"There are some who, because the point is the
limit and extreme of the line, the line of the plane, and the plane of the
solid, think there must be real things of this sort."
Albrecht Ducer (1471 to 1528)
"The composer opens the cage
door for arithmetic, the draftsman gives geometry its freedom."
John Dee (1527 to 1608)
" Projective geometry is all
geometry."
Archimedes
Archimedes
"There isgeometry inthehumming of thestrings.There is music in the
spacings of the spheres."
John Dee
John Dee
"One geometry can not be more true than
another; it can only be more
convenient. Geometry is not true, it is advantageous."
Archimedes
Archimedes
"Geometry is that part of
universal mechanics which accurately proposes
and demonstrates the
art of measuring."
Sir Christopher Wren
Sir Christopher Wren
"But even Archimedes was not free from the prevailing notion
that
geometry was degraded by being employed to
produce anything useful.
It was with difficulty that he was induced to
stoop from speculation to practice.
He was half ashamed of those inventions which
were the wonder of hostile
nations, and always spoke of them slightingly
as mere amusements, as trifles
in which a mathematician might be suffered to
relax his mind after intense
application to the higher parts of his
science."
Federico Garcia Lorca
Federico Garcia Lorca
"Night Geometryand the
GarscaddenTrains."
John E Littlewood
John E Littlewood
"In Geometry (which is the only science that
it hath pleased God hithertotobestowonmankind) men begin at settling the
significations of
their words; which†they
call Definitions."
Jean Cochetuc
Jean Cochetuc
"There is no'royal
road'to geometry."
Sir Isaac Newton
Sir Isaac Newton
"Let no-one enter who does
not know his geometry."
Aristotle
Aristotle
"His way had therefore come
full circle, or rather had taken the form of an
ellipse or a spiral,
following as ever no straight unbroken line, for the
rectilinear belongs only
to Geometry and not to Nature and Life."
The World of Mathematics" edited by J.R. Newman
The World of Mathematics" edited by J.R. Newman
"Everybody at the party is a
many sided polygon....Nonagon!"
Arthur Cayley
Arthur Cayley
"I would say, if you like,
that the party is like an out-moded
mathematics...that isto say, the
mathematics of Euclid. We need to
invent a non-Euclidian
mathematicswith respect to political discipline."
James Jones, The Thin Red Line
James Jones, The Thin Red Line
"In reality the universe has
no geometry."
Kedar Joshi, Superultramodern Science And Philosophy
Kedar Joshi, Superultramodern Science And Philosophy
"Give me a place to stand, a
lever long enough and a fulcrum. and I can
move the Earth"
Janos Bolyai (1802 to 1860)
Janos Bolyai (1802 to 1860)
"The cowboys
have a way of trussing up a steer or a pugnacious bronco
which fixes
the brute so that it can neither move nor think. This is the hog-tie,
and it is what
Euclid did to geometry."
Bernard de Fontenelle (1657 to 1757)
Bernard de Fontenelle (1657 to 1757)
"Projective
geometry has opened up for us with the greatest facility new
territories in our
science, and has rightly been called the royal road to our
particular field of
knowledge."
Thomas Hobbes (1588 to 1629)
"As long as
algebra and geometry have been separated, their progress
have been slow
and their uses limited; but when these two sciences have
been united, they
have lent each mutual forces, and have marched together
towards
perfection."
Sir Christopher Wren (1632 to1723)
Sir Christopher Wren (1632 to1723)
"The description of
right lines and circles, upon which geometry is founded,
belongs to
mechanics. Geometry does not teach us to draw these lines,
but requires them
to be drawn. "
Joseph-Louis Lagrange (1736 to 1813)
Joseph-Louis Lagrange (1736 to 1813)
"A work of
morality, politics, criticism will be more elegant, other things
being equal, if it
is shaped by the hand of geometry."
Augustus De Morgan (1806 to 1871)
Augustus De Morgan (1806 to 1871)
"A youth who
had begun to read geometry with Euclid, when he had learnt the
first proposition,
inquired, "What do I get by learning these things?" So Euclid
called a slave and
said "Give him threepence, since he must make a
gain out of what he
learns."
Stobaeus, Extracts
"I am coming
more and more to the conviction that the necessity of our
geometry cannot be
demonstrated, at least neither by, nor for, the human
intellect...geometry
should be ranked, not with arithmetic, which is purely
aprioristic,
but with mechanics."
Joseph J Sylvester (1814 to 1897)
Joseph J Sylvester (1814 to 1897)
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