Index of terms

Every concept, theorem, method and person the concept graph places in a chapter of this book, with the chapters that teach it and the other books on the shelf that teach it too.

Concepts (247)

abscissa
Taught in: Three Geometrical Problems
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, First Course in the Theory of Equations
Achilles and the Tortoise
Taught in: Some Mechanical Questions
algebra
Taught in: The Mathematical Tripos
Also in: A First Book in Algebra, An Introduction to Mathematics, The First Steps in Algebra, Vector Analysis and Quaternions
alphabet
Taught in: Cryptographs and Ciphers
anallagmatic squares
Taught in: Some Geometrical Questions
Analytical Society
Taught in: The Mathematical Tripos
annulus
Taught in: Unicursal Problems
Also in: Calculus Made Easy
approximation
Taught in: Three Geometrical Problems, Matter and Ether Theories
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Plane Geometry, Spherical Trigonometry, for the Use of Colleges and Schools
area
Taught in: Some Mechanical Questions, Three Geometrical Problems
Also in: A Course of Pure Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Plane Geometry, Spherical Trigonometry, for the Use of Colleges and Schools, Vector Analysis and Quaternions
arithmetic
Taught in: Some Arithmetical Questions, The Mathematical Tripos
Also in: A First Book in Algebra, An Introduction to Mathematics, Vector Analysis and Quaternions
arithmetical fallacy
Taught in: Some Arithmetical Questions
arithmetical progression
Taught in: Some Arithmetical Questions
Also in: An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, The First Steps in Algebra
astrological house
Taught in: Astrology
astrological planet
Taught in: Astrology
astrology
Taught in: Astrology
asymptote
Taught in: Three Geometrical Problems
atom
Taught in: Matter and Ether Theories
Also in: Treatise on Thermodynamics
Bachet's weights problem
Taught in: Some Arithmetical Questions
binary scale
Taught in: Mersenne's Numbers
Also in: An Elementary Treatise on Electricity
board covering
Taught in: Some Miscellaneous Questions
Board of Mathematical Studies
Taught in: The Mathematical Tripos
boat moved by a rope
Taught in: Some Mechanical Questions
book cipher
Taught in: Cryptographs and Ciphers
bordered magic square
Taught in: Magic Squares
broken diagonal
Taught in: Magic Squares
calculus
Taught in: The Mathematical Tripos
Also in: An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus
centre of gravity
Taught in: Some Mechanical Questions
Also in: A Course of Pure Mathematics, Treatise on Thermodynamics
centrifugal force
Taught in: Some Mechanical Questions
chemical element
Taught in: Matter and Ether Theories
Also in: Treatise on Thermodynamics
chess-piece placement problem
Taught in: Some Miscellaneous Questions
Chinese rings
Taught in: Some Miscellaneous Questions
cipher
Taught in: Cryptographs and Ciphers
cipher requisites
Taught in: Cryptographs and Ciphers
circle
Taught in: Three Geometrical Problems
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, First Course in the Theory of Equations, Plane Geometry, Solid Geometry with Problems and Applications, Spherical Trigonometry, for the Use of Colleges and Schools
cissoid of Diocles
Taught in: Three Geometrical Problems
Also in: A Course of Pure Mathematics
closed circuit
Taught in: Unicursal Problems
closed network
Taught in: Unicursal Problems
colour-cube problem
Taught in: Some Geometrical Questions
Columbus's egg puzzle
Taught in: Some Mechanical Questions
common difference
Taught in: Some Arithmetical Questions
Also in: The First Steps in Algebra
complementary cell
Taught in: Unicursal Problems
complementary numbers
Taught in: Magic Squares
complementary rows and columns
Taught in: Magic Squares
complementary suffixes
Taught in: Some Miscellaneous Questions
composite magic square
Taught in: Magic Squares
congruence
Taught in: Mersenne's Numbers
conic section
Taught in: The Mathematical Tripos, Three Geometrical Problems
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, First Course in the Theory of Equations
construction
Taught in: Three Geometrical Problems
Also in: Plane Geometry
continuity
Taught in: Matter and Ether Theories
Also in: A Course of Pure Mathematics
contour-line
Taught in: Some Geometrical Questions
Also in: A Course of Pure Mathematics
corner cell
Taught in: Unicursal Problems
corresponding linear dimensions
Taught in: Some Mechanical Questions
Also in: Solid Geometry with Problems and Applications
cosecant
Taught in: Some Mechanical Questions
Also in: A Course of Pure Mathematics, Calculus Made Easy, Elements of Plane Trigonometry
counters in a row
Taught in: Some Geometrical Questions
couple
Taught in: Some Mechanical Questions
cross-fours
Taught in: Some Geometrical Questions
cross-section
Taught in: Some Mechanical Questions
Also in: Solid Geometry with Problems and Applications
cryptograph
Taught in: Cryptographs and Ciphers
cryptography
Taught in: Cryptographs and Ciphers
cube
Taught in: Some Geometrical Questions, Some Mechanical Questions, Three Geometrical Problems
Also in: A First Book in Algebra, Solid Geometry with Problems and Applications, The First Steps in Algebra
cubic equation
Taught in: The Mathematical Tripos, Three Geometrical Problems
Also in: An Introduction to Mathematics, First Course in the Theory of Equations
cumulative voting
Taught in: Some Arithmetical Questions
cusp
Taught in: Astrology
Also in: Calculus Made Easy
cyclical permutation
Taught in: Some Miscellaneous Questions
dale
Taught in: Some Geometrical Questions
decimal fraction
Taught in: The Mathematical Tripos
Also in: An Introduction to Mathematics
decimation problem
Taught in: Some Arithmetical Questions, Cryptographs and Ciphers
denary scale of notation
Taught in: Some Arithmetical Questions, Magic Squares
diagonal
Taught in: Magic Squares
Also in: Elementary Illustrations of the Differential and Integral Calculus, Plane Geometry, Spherical Trigonometry, for the Use of Colleges and Schools
digit
Taught in: Some Arithmetical Questions, Magic Squares, Cryptographs and Ciphers
Also in: An Introduction to Mathematics, The First Steps in Algebra
dimension
Taught in: Hyper-space, Matter and Ether Theories
Also in: Plane Geometry
dissection proof
Taught in: Some Geometrical Questions
doubly even square board
Taught in: Unicursal Problems
doubly magic square
Taught in: Magic Squares
doubly-even magic square
Taught in: Magic Squares
duplication of the cube
Taught in: Three Geometrical Problems
Also in: A Course of Pure Mathematics
edge
Taught in: Unicursal Problems
Also in: Solid Geometry with Problems and Applications, Spherical Trigonometry, for the Use of Colleges and Schools
electric current
Taught in: Matter and Ether Theories
Also in: An Elementary Treatise on Electricity
electron
Taught in: Matter and Ether Theories
elliptic geometry
Taught in: Hyper-space
energy
Taught in: Some Mechanical Questions
Also in: An Elementary Treatise on Electricity, Treatise on Thermodynamics
equation
Taught in: The Mathematical Tripos
Also in: A Course of Pure Mathematics, A First Book in Algebra, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, The First Steps in Algebra
equation of time
Taught in: Time and its Measurement
equiangular spiral
Taught in: Some Mechanical Questions
Also in: A Course of Pure Mathematics
ether
Taught in: Matter and Ether Theories
even magic square
Taught in: Magic Squares
even node
Taught in: Unicursal Problems
exploration problem
Taught in: Some Arithmetical Questions
face
Taught in: Some Mechanical Questions
Also in: Solid Geometry with Problems and Applications, Spherical Trigonometry, for the Use of Colleges and Schools
factor
Taught in: Mersenne's Numbers
Also in: A Course of Pure Mathematics, A First Book in Algebra, Calculus Made Easy, First Course in the Theory of Equations, The First Steps in Algebra
Fermat number
Taught in: Some Arithmetical Questions
ferry-boat problems
Taught in: Some Geometrical Questions
fifteen puzzle
Taught in: Some Miscellaneous Questions
flight of birds
Taught in: Some Mechanical Questions
fluxional notation
Taught in: The Mathematical Tripos
Also in: An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus
fork
Taught in: Some Geometrical Questions
free end
Taught in: Unicursal Problems
friction
Taught in: Some Mechanical Questions
Also in: Treatise on Thermodynamics
geodesic
Taught in: Some Geometrical Questions
geometrical fallacy
Taught in: Some Geometrical Questions
geometrical paradox
Taught in: Some Geometrical Questions
geometrical progression
Taught in: Some Mechanical Questions
Also in: A Course of Pure Mathematics, An Elementary Treatise on Electricity, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, The First Steps in Algebra
geometry
Taught in: Three Geometrical Problems
Also in: An Introduction to Mathematics, Plane Geometry
great circle
Taught in: Astrology
Also in: Solid Geometry with Problems and Applications, Spherical Trigonometry, for the Use of Colleges and Schools
Gregorian calendar
Taught in: Time and its Measurement
Guarini's knights problem
Taught in: Some Geometrical Questions
Hamiltonian cycle
Taught in: Unicursal Problems
hill
Taught in: Some Geometrical Questions
homogeneous polynomial
Taught in: Some Miscellaneous Questions
Also in: A First Book in Algebra
homophonic cipher
Taught in: Cryptographs and Ciphers
horoscope
Taught in: Astrology
hyper-space
Taught in: Hyper-space
hyperbola
Taught in: Three Geometrical Problems
Also in: A Course of Pure Mathematics, An Introduction to Mathematics
hyperbolic geometry
Taught in: Hyper-space
hypothesis
Taught in: Matter and Ether Theories
Also in: Plane Geometry
imaginary root
Taught in: Some Arithmetical Questions
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Calculus Made Easy, First Course in the Theory of Equations, The First Steps in Algebra
impulse
Taught in: Some Mechanical Questions
Also in: Elementary Illustrations of the Differential and Integral Calculus
incommensurable magnitudes
Taught in: Three Geometrical Problems
Also in: An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Plane Geometry, Solid Geometry with Problems and Applications
indeterminate equation
Taught in: Mersenne's Numbers
inertia
Taught in: Some Mechanical Questions
Also in: An Introduction to Mathematics
infinite set
Taught in: Matter and Ether Theories
Also in: A Course of Pure Mathematics
integer part
Taught in: Three Geometrical Problems
Also in: A Course of Pure Mathematics
isochronism
Taught in: Time and its Measurement
isolated system
Taught in: Some Mechanical Questions
Also in: Treatise on Thermodynamics
Julian calendar
Taught in: Time and its Measurement
key
Taught in: Cryptographs and Ciphers
kinematics
Taught in: Some Mechanical Questions
kinetic theory of heat
Taught in: Matter and Ether Theories
Also in: An Elementary Treatise on Electricity, Treatise on Thermodynamics
Kirkman's schoolgirl problem
Taught in: Some Miscellaneous Questions
knight's move
Taught in: Unicursal Problems
knight's tour
Taught in: Unicursal Problems
Königsberg bridge problem
Taught in: Unicursal Problems
lattice path counting
Taught in: Some Arithmetical Questions
leap year
Taught in: Time and its Measurement
left-right operation notation
Taught in: Unicursal Problems
lever
Taught in: Some Mechanical Questions
line of slope
Taught in: Some Geometrical Questions
logarithm
Taught in: Some Arithmetical Questions
Also in: A Course of Pure Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Elements of Plane Trigonometry, Spherical Trigonometry, for the Use of Colleges and Schools
magic bottle
Taught in: Some Mechanical Questions
magic pencil
Taught in: Magic Squares
magic square
Taught in: Magic Squares
magic square cell
Taught in: Magic Squares
many-to-one cipher
Taught in: Cryptographs and Ciphers
mathematical notation
Taught in: The Mathematical Tripos
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Vector Analysis and Quaternions
mathematical physics
Taught in: The Mathematical Tripos
Also in: An Introduction to Mathematics, Calculus Made Easy
Mathematical Tripos
Taught in: The Mathematical Tripos
mathematics
Taught in: The Mathematical Tripos
Also in: An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus
matter
Taught in: Matter and Ether Theories
maximum
Taught in: Some Mechanical Questions, Matter and Ether Theories
Also in: A Course of Pure Mathematics, Calculus Made Easy, First Course in the Theory of Equations, Plane Geometry, Treatise on Thermodynamics
maze
Taught in: Unicursal Problems
mean solar day
Taught in: Time and its Measurement
means of a proportion
Taught in: Three Geometrical Problems
Also in: Plane Geometry
mechanics
Taught in: The Mathematical Tripos
Also in: An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus
Mersenne number
Taught in: Some Arithmetical Questions, Mersenne's Numbers
modular arithmetic
Taught in: Some Arithmetical Questions
molecule
Taught in: Matter and Ether Theories
Also in: Treatise on Thermodynamics
motion in fluids
Taught in: Some Mechanical Questions
motion of fluids
Taught in: Some Mechanical Questions
mouse trap game
Taught in: Some Miscellaneous Questions
nasik square
Taught in: Magic Squares
node
Taught in: Unicursal Problems
non-Euclidean geometry
Taught in: Hyper-space
number of knight's paths
Taught in: Unicursal Problems
odd magic square
Taught in: Magic Squares
odd node
Taught in: Unicursal Problems
one-sided surface
Taught in: Some Geometrical Questions
order of a magic square
Taught in: Magic Squares
order of a node
Taught in: Unicursal Problems
parabola
Taught in: Three Geometrical Problems
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus
parabolic geometry
Taught in: Hyper-space
paradromic ring
Taught in: Some Geometrical Questions
pass
Taught in: Some Geometrical Questions
pawn interchange puzzle
Taught in: Some Geometrical Questions
pendulum
Taught in: Some Mechanical Questions, Matter and Ether Theories
perfect number
Taught in: Some Arithmetical Questions
periodic function
Taught in: Matter and Ether Theories
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Calculus Made Easy, Elements of Plane Trigonometry
permutation
Taught in: Some Geometrical Questions, Some Miscellaneous Questions, Magic Squares
Also in: An Introduction to Mathematics, First Course in the Theory of Equations
perpetual motion
Taught in: Some Mechanical Questions
Also in: Treatise on Thermodynamics
phase
Taught in: Matter and Ether Theories
Also in: Treatise on Thermodynamics
physical analogy
Taught in: Hyper-space, Matter and Ether Theories
Also in: An Elementary Treatise on Electricity
pi
Taught in: Three Geometrical Problems
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Calculus Made Easy, Plane Geometry
Poll examination
Taught in: The Mathematical Tripos
polyalphabetic cipher
Taught in: Cryptographs and Ciphers
pressure
Taught in: Some Mechanical Questions
Also in: An Elementary Treatise on Electricity, An Introduction to Mathematics, Treatise on Thermodynamics
prime factor
Taught in: Mersenne's Numbers
Also in: A Course of Pure Mathematics, A First Book in Algebra
prime number
Taught in: Some Arithmetical Questions, Mersenne's Numbers
Also in: A Course of Pure Mathematics
probability
Taught in: Some Arithmetical Questions, Three Geometrical Problems
Also in: A Course of Pure Mathematics
problem
Taught in: The Mathematical Tripos
Also in: Plane Geometry
quadratic equation
Taught in: The Mathematical Tripos
Also in: A Course of Pure Mathematics, A First Book in Algebra, An Introduction to Mathematics, Calculus Made Easy, First Course in the Theory of Equations, The First Steps in Algebra
quadratic form
Taught in: Mersenne's Numbers
quadratic residue
Taught in: Mersenne's Numbers
radioactivity
Taught in: Matter and Ether Theories
ramification base
Taught in: Unicursal Problems
rational number
Taught in: The Mathematical Tripos
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Solid Geometry with Problems and Applications
re-entrant route
Taught in: Unicursal Problems
regular polygon
Taught in: Three Geometrical Problems
Also in: Elementary Illustrations of the Differential and Integral Calculus, Elements of Plane Trigonometry, Plane Geometry
relative motion
Taught in: Some Mechanical Questions
remainder
Taught in: Some Arithmetical Questions
Also in: A First Book in Algebra, First Course in the Theory of Equations, The First Steps in Algebra
route
Taught in: Unicursal Problems
sailing faster than the wind
Taught in: Some Mechanical Questions
scaling of a model
Taught in: Some Mechanical Questions
scheme of nativity
Taught in: Astrology
Senate-House examination
Taught in: The Mathematical Tripos
shorthand
Taught in: Cryptographs and Ciphers
shunting problems
Taught in: Some Geometrical Questions
sidereal day
Taught in: Time and its Measurement
similarity
Taught in: Some Mechanical Questions
Also in: An Introduction to Mathematics, Elementary Illustrations of the Differential and Integral Calculus, Plane Geometry
sine
Taught in: Some Mechanical Questions, Three Geometrical Problems
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Elements of Plane Trigonometry, Solid Geometry with Problems and Applications, Spherical Trigonometry, for the Use of Colleges and Schools, Vector Analysis and Quaternions
singly-even magic square
Taught in: Magic Squares
spectrum
Taught in: Matter and Ether Theories
Also in: An Elementary Treatise on Electricity
sphere
Taught in: Astrology
Also in: A Course of Pure Mathematics, An Elementary Treatise on Electricity, Solid Geometry with Problems and Applications, Spherical Trigonometry, for the Use of Colleges and Schools
spherical trigonometry
Taught in: The Mathematical Tripos
Also in: Spherical Trigonometry, for the Use of Colleges and Schools, Vector Analysis and Quaternions
spin of a ball
Taught in: Some Mechanical Questions
squaring the circle
Taught in: Three Geometrical Problems
Also in: A Course of Pure Mathematics, An Introduction to Mathematics
stability of equilibrium
Taught in: Some Mechanical Questions
Also in: Treatise on Thermodynamics
steady motion
Taught in: Some Mechanical Questions
sub-atom
Taught in: Matter and Ether Theories
subsidiary square
Taught in: Magic Squares
sum
Taught in: Magic Squares
Also in: A Course of Pure Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Vector Analysis and Quaternions
table of power residues
Taught in: Mersenne's Numbers
Tait's counter problem
Taught in: Some Geometrical Questions
tangent
Taught in: Some Geometrical Questions
Also in: A Course of Pure Mathematics, An Introduction to Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Elements of Plane Trigonometry, First Course in the Theory of Equations, Plane Geometry, Treatise on Thermodynamics
tangent function
Taught in: Three Geometrical Problems
Also in: A Course of Pure Mathematics, Calculus Made Easy, Elementary Illustrations of the Differential and Integral Calculus, Elements of Plane Trigonometry, Solid Geometry with Problems and Applications, Spherical Trigonometry, for the Use of Colleges and Schools
temperature
Taught in: Matter and Ether Theories
Also in: An Elementary Treatise on Electricity, Spherical Trigonometry, for the Use of Colleges and Schools, Treatise on Thermodynamics
ternary scale of notation
Taught in: Some Arithmetical Questions, Some Miscellaneous Questions
tessellation
Taught in: Some Geometrical Questions
three-in-a-row
Taught in: Some Geometrical Questions
three-things problem
Taught in: Some Arithmetical Questions
Tower of Hanoi
Taught in: Some Miscellaneous Questions
transcendental number
Taught in: Three Geometrical Problems
Also in: A Course of Pure Mathematics
tree
Taught in: Unicursal Problems
treize game
Taught in: Some Miscellaneous Questions
triad
Taught in: Some Miscellaneous Questions
Also in: A Course of Pure Mathematics
trigonometry
Taught in: The Mathematical Tripos
Also in: A Course of Pure Mathematics, An Introduction to Mathematics
triplet
Taught in: Some Miscellaneous Questions
trisection of an angle
Taught in: Three Geometrical Problems
Tristram Shandy paradox
Taught in: Some Mechanical Questions
true solar day
Taught in: Time and its Measurement
unicursal figure
Taught in: Unicursal Problems
uniform motion
Taught in: Some Mechanical Questions
Also in: Elementary Illustrations of the Differential and Integral Calculus
unit cell
Taught in: Unicursal Problems
Also in: An Elementary Treatise on Electricity
vortex ring
Taught in: Matter and Ether Theories
weight
Taught in: Some Mechanical Questions
Also in: Elementary Illustrations of the Differential and Integral Calculus
winning key numbers
Taught in: Some Arithmetical Questions
work
Taught in: Some Mechanical Questions
Also in: An Elementary Treatise on Electricity, Calculus Made Easy, Treatise on Thermodynamics, Vector Analysis and Quaternions
Zeno's paradoxes
Taught in: Some Mechanical Questions
zodiacal sign
Taught in: Astrology

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Theorems (24)

2n odd nodes need n routes
Taught in: Unicursal Problems
arctangent series
Taught in: Three Geometrical Problems
difference of two squares
Taught in: Mersenne's Numbers
Also in: A First Book in Algebra, The First Steps in Algebra
divisibility by nine
Taught in: Some Arithmetical Questions
Euclid–Euler theorem
Taught in: Some Arithmetical Questions
Euler's theorem on factors of Mersenne numbers
Taught in: Mersenne's Numbers
Fermat's Last Theorem
Taught in: Some Arithmetical Questions
Fermat's little theorem
Taught in: Mersenne's Numbers
Fermat's theorem on sums of two squares
Taught in: Some Arithmetical Questions
four-colour theorem
Taught in: Some Geometrical Questions
Gergonne's theorem
Taught in: Some Miscellaneous Questions
Goldbach's conjecture
Taught in: Some Arithmetical Questions
hill and dale relations
Taught in: Some Geometrical Questions
Hudson's shuffling theorem
Taught in: Some Miscellaneous Questions
knight's move alternates colour
Taught in: Unicursal Problems
Lagrange's theorem on primes
Taught in: Some Arithmetical Questions
Machin's formula for pi
Taught in: Three Geometrical Problems
more than two odd nodes forbid a single route
Taught in: Unicursal Problems
odd nodes of a closed network are even in number
Taught in: Unicursal Problems
parallel postulate
Taught in: Hyper-space
Also in: Solid Geometry with Problems and Applications
unicursal route for a figure with no odd node
Taught in: Unicursal Problems
unicursal route for a figure with two odd nodes
Taught in: Unicursal Problems
Walecki's theorem
Taught in: Some Miscellaneous Questions
Wilson's theorem
Taught in: The Mathematical Tripos